It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 36 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 114 feet. Assume that the population standard deviation is 22 feet. Use Table 1. State the null and the alternative hypotheses for the test. H_0:mu = 120: H_A: mu notequalto 120 H_0:mu 2 greaterthanorequalto 120: H_A mu < 120 H_0: mu lessthanorequalto 120: H_A: mu > 120 Calculate the value of the test statistic and the p-value. {Negative values should be indicated by a minus sign. Round "Test statistic" to 2 decimal places 3nd "p-value" to 4 decimal places.} The p-value is: p-value < 0.01 0.01 lessthanorequalto p-value < 0.025 0.025 lessthanorequalto p-value < 0.05 0.05 lessthanorequalto p-value < 0/.10 p-value greaterthanorequalto 0.10 c. Use alpha = 0.01 to determine if the average breaking distance differs from 120 feet. Repeat the test with the critical value approach. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

Answers

Answer 1

Answer:

H0: mu = 120 , Ha: : mu not equal to 120

The p-value  is greater than or equal to 0.10

z= -1.636

Since the calculated value of  z does not fall in the critical region H0 is not rejected.

Step-by-step explanation:

State the null and alternate hypothesis

H0: mu = 120

average braking distance for a small car traveling at 65 miles per hour equals 120 feet.

against the claim

Ha: : mu not equal to 120

average braking distance for a small car traveling at 65 miles per hour  does not equal 120 feet.

The p-value equals 0.101764 which is greater than 0.01 and thus supports H0.

The p-value  is greater than or equal to 0.10

The test statistic z is applied

Here

Sample Mean  x~ = 114

Population mean μ =120

Sample size n= 36

Population SD =σ= 22

Z= u- μ/σ√n

Z= 114- 120/ 22/ √36

z= -1.636

This is a two tailed test and the critical region for two tailed test at alpha = 0.01 is z ∝/2= ± 2.58

Since the calculated value of  z does not fall in the critical region H0 is not rejected.


Related Questions

Please help this is very important to my grade

Answers

Answer:

3, 6, 2.7( The is one I cannot see cuz of glare)

Step-by-step explanation:

Please don’t judge me, can I get some help? Questions in the screenshot below

Answers

For the graphing one I think (-3,1) since the shape is a parallelogram the new point needs to make 2 lines that are parallel to the ones already graphed. Check my work though :)
And for the other questions I believe it’s as simple as multiplying both of the numbers by each other then by 2/3. I might be wrong on that though I haven’t done that stuff in a long while

The graph shows the function y = 3.3 - 1. What are the coordinates of the intercepts?

Answers

Answer:

C) (0, -1) and ( [tex]\frac{1}{3}[/tex], 0)

Step-by-step explanation:

7 students study Biology, Chemistry and Physics.
12 students study Biology and Chemistry.
15 students study Biology and Physics.
20 students study Chemistry and Physics.
35 students study Biology.
32 students study Physics.
Complete the Venn diagram.

Answers

I need the pic bro.......

Answer:

Step-by-step explanation:

Assume that 200 babies are born to 200 couples treated with the XSORT method of gender selection that is claimed to make girls more likely. Preliminary results from a test of the XSORT method of gender selection involved 200 couples who gave birth to 115 girls and 85 boys. At significance level of 0.1, test whether the proportion of girl births after the treatment is greater than the 50% that occurs without any treatment (optional: show your work of the hypothesis testing in paper). Answer the next three questions

a. test statistic =
b. p-value =
c. What is your decision?

Answers

Answer:

a) test statistic = 2.12

b) p-value = 0.017

c) we reject the Null hypothesis

Step-by-step explanation:

Given data :

N = 200

girls (x) = 115 , Boys = 85

p = x / n = 115 / 200 = 0.575

significance level ( ∝ ) = 0.1

aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment .

A) Determine the test statistic

H0 : p = 0.5

Ha : p > 0.5

to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1

Z - test statistic = ( 0.575 - 0.5)  / [tex]\sqrt{0.5*0.5 / 200}[/tex]  = 2.12

b) determine the p-value

The P-value can be determined using the normal standard table

P-value = 1 - p(Z< 2.12 )  =  1 - 0.9830 = 0.017

c) Given that the p value ( 0.017 ) < significance level ( 0.1 )

we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%

(2)
3. Which of the following is NOT equal to 3/4
a.
a: (0)
b. 123
c. oo

Answers

The answer is b. 123

Answer:

hindi ko poaintindihan paayos po

Help me out thanks !!!!!

Answers

Answer:

x = 60°

Step-by-step explanation:

First find <E by applying the angles of intersecting chords theorem.

Based on the theorem, we would have the following equation:

m<E = ½(arc CA + arc BD)

Substitute

m<E = ½(170° + 70°)

m<E = ½(240)

m<E = 120°

Let's find x:

x = 180° - m<E (supplementary angles)

x = 180° - 120° (substitution)

x = 60°

Thirty students from the Netherlands set up a record of 1,500,000 dominoes. Of these, 1,138,101 were toppled by one push. Which is a more reasonable estimate for how many dominoes remained standing after that push: 350,000 or 400,000?​

Answers

The aswer is 350,000,,,,,,,,,

Given that a/b = 3/5 and b/c = 3/4.
Find a : b : c

Answers

Answer:

a : b : c = 9 : 15 : 20

Step-by-step explanation:

Here, b is common to both the ratios. In order to find the combined ratio of a, b and c, it is required to make the b ratio same in the given ratios.

Therefore,

[tex] \frac{a}{b} = \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} \\ \\ \frac{b}{c} = \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \\ \\ \implies \: a : b : c = 9 : 15 : 20[/tex]

A principal of 3700 is invested at 8.25% interest, compounded annually. How much will the investment be worth after 11 years? Use the calculator provided and round your answer to the nearest dollar.

Answers

Sishhdhsbens sjejenfnrkrdushsh susbehdidienenjejddhdhsbdb did

y=5x-1 as a graph (slopes)

Answers

Answer:

linked the graph!

Step-by-step explanation:

Answer:

Using the slope-intercept form, the slope is −5

y=0,-1

Step-by-step explanation:

Select the correct answer what are the x-intercepts of these quadric function g(x)=-2(x-4)(x+1)

Answers

The x-intercepts are:


X = 4
X = -1

WHATS THE ANSWER?? answer ASAP NO FILE AT ALL

Answers

Answer:

A

Step-by-step explanation:

If you flip the picture over and look at it while it is upside-down, you can see that image A is the same shape.

A is the answer. it shows a reflection

Perform the indicated operation. -6 + 6

Answers

-6 + 6 is 0 ! Hope this helps!!

Answer:

0

Step-by-step explanation:

It is zero,   since -6+6 is bassicly 6-6 which is 0

FIRST PERSON TO ANSWER GET MARKED BRAINLY
Find the value.

Answers

Answer: 3 x 5²= 75

Step-by-step explanation:

How I got my answer was multiplying 3 x 5= 15 then 15 x 5=75 on my paper and that should be the right answer hope it help and the answer should be 75

Jenna made $200 during the weekend she plans to give 10% to the church and put 40% and her saving accounts how much will she give to the church and how much will she have​

Answers

Answer: 100

Step-by-step explanation:

200*10% or 200 * 0.10= 20

do the same for savings account 200*40%= 80

20 +80 = 100 subtract that from 200 she has 100 left.

Find the surface area of the prism. The surface area is​

Answers

Answer:

132m^2

Step-by-step explanation:

Area=10x5+3x4x2/2+10x3+4x10

=50+12+30+40

=132

Answer: 132 meters squared

Step-by-step explanation:

We add all the sides of the shape:

Three quadrangular sides:

3 x 10 = 30

4 x 10 = 40

5 x 10 = 50

30 + 40 + 50 = 120

Two triangular sides:

3 x 4 / 2 = 6

3 x 4 / 2 = 6

6 + 6 = 12

We add all up:

120 + 12 = 132 meters squared

4/5+ 2/3 =? pls help i'm.in 5th grade

Answers

Answer:

2/15

Step-by-step explanation:

A figure with vertical line symmetry is placed on the coordinate plane. Given that the points (–8, –4) and (–3, –4) are on the edges of the figure, which of the following points lies on the line of symmetry?

Answers

Answer:

(-11/2; -4)

Step-by-step explanation:

The point that lies on the line is symmetry is the middle point of the segment

M(x) = (-8-3)/2 = -11/2

M(y) = -4

Answer:

(-11/2; -4)

Step-by-step explanation: The point that lies on the line is symmetry is the middle point of the segment

M(x) = (-8-3)/2 = -11/2

M(y) = -4

2. Write an equation in siope-interceptform to represente relationship in the table ​

Answers

Answer:

-4/-5

Step-by-step explanation:

you have to pick 2 numbers from the y row and the x row i picked -7 and 3 and -5 and 0 so first you would do 3-(-7) and that would be -4 and then do -5-0 and that would be -5 then you would put the y/x

Suppose that you are about to purchase a car and have narrowed your choices to two models --Model A and Model B. All things are about equal, such as price, options, even the average annual maintenance costs. You find an owner survey in an auto magazine that indicates that the standard deviation of maintenance costs is smaller for Model B. Based on this information, which of the following statements is most appropriate?
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
B. Model A with the larger standard deviation is preferable. Cecause the larger value implies a smaller amount of variation in the data
C. Neither of the models are good since both standard deviations are not equal to 0. B 2
D. They are equally acceptable, because standard deviations are not useful for comparisons of data sets.
E. Cannot determine based on the information provided.

Answers

Answer:

A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.

Step-by-step explanation:

The standard deviation is a measure of the variability of a dataset about a mean value. Larger values of standard deviation implies that the values varies Hugely about the mean whole smaller variability measure values mean that the data only varies a little about the mean. The implication of having a large variability value is that, low and high values in the data can be very different from the mean values, hence, lowering the reliability of Mean value. The lesser varibality gives the mean more reliability as a measure of centre

Round off to two decimal places
27.305

Answers

Answer:

20 in place value of 2

hope it helped

Suppose you roll a 6-sided number cube twice, and each time you
rolled a 4. a) Is the rolling of the number cube twice independent or
dependent events? b) What is the probability of rolling two fours? c)
Explain the difference between independent and dependent events.

Answers

a) independent
b) 1/36
c) an independent event can include repeating an action like rolling a dice. A dependant event is the outcome of the first event and how it affects the second.

Suppose we have a set of three buyers who are trying to buy homes from three sellers. Suppose that seller A charges 3 for their house, seller B charges 2 for their house, and seller C charges 1 for their house The valuations for the three buyers are as follows ordered by house number (so house a, then house b, then house c):
Buyer 1: A: 1 B: 3 C: 2
Buyer 2: A: 5 B:5 C: 5
Buyer 3: A: 5 B: 3 C: 2
Assuming that this set of prices is market clearing, provide the utility for each player in the transaction.

Answers

Solution :

As we can see from the following question that  :

[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]

[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]

[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]

Now depending on the valuation that each buyer have on these three houses, they derive utility from it :

Buyer I

Valuation for house A, [tex]$V'_A=1$[/tex]

Valuation for house B, [tex]$V'_B=3$[/tex]

Valuation for house C, [tex]$V'_C=2$[/tex]

Utility that buyer I derives from :

House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]

House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]

As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.

Buyer II

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=5$[/tex]

Valuation for house C, [tex]$V^2_C=5$[/tex]

Utility that buyer II derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]

Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.

Buyer III

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=3$[/tex]

Valuation for house C, [tex]$V^2_C=2$[/tex]

Utility that buyer III derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]

The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.

Tristan spent 35% of his allowance on candy each week. If his weekly allowance is $10, How much is he spending on candy? Tristan spends on candy each week.

Answers

Answer:

he is spending 3.50 each week

jaslyyyyyyyyyy yus beans

Answers

Answer:

7/9

Step-by-step explanation:

21 / 27 = 3 * 7 / 3 * 9

= 7/9

Use the distributive property to find the equivalent expression. 9(2 + 3x) =

Answers

Answer:

9(2+3x)

9*2+9*3x

18+27x

Step-by-step explanation:

Round to the nearest whole dollar: 2.89

Answers

Answer:

I believe it would be $3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Because 0.89 is greater than 0.5, we have to round up. Therefore, the answer is 3.

If this helps please mark as brainliest

A bakery sells 5394 donuts in 2010. The bakery sells 10,874 donuts in 2015. Write a linear model that represents the number y of donuts that the bakery sells x years after 2010.

Answers

Answer:

y = 1096x + 5394

Step-by-step explanation:

Given that

The bakery sells 5394 donuts in 2010

And, the bakery sells 10,874 donuts in 2015

We need to write the linear model

So here

we assume that the x be the no of years after 2010

And, y be the no of donuts

Now

x_1 = 0, y_1 = 5394

x_2 = 5, y_2 = 10874

Now the slope is

m = (y_2 - y_1) ÷ (x_2 - x_1)

= (10874 - 5394) ÷ (5 - 0)

= 1,096

Now

y - y_1 = m(x - x_1)

y - 5394 = 1096(x - 0)

y - 5394 = 1096x - 0

y = 1096x + 5394

You can approximate e by substituting large values for n into the expression
A. (1- 1/n)^n
B. (1+n)^in
C. (1 - n) ^in
O D. (1+1/n)^2

Answers

Answer:

D. (1+1/n)n

Step-by-step explanation:

The value of the expression A, B, C, and D will be 1, ∞, ∞, and 1.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

You can approximate e by substituting large values for n into the expression.

Let the infinity be the largest number.

A. (1 – 1/n)ⁿ

Substitute n = ∞, then the value of the expression will be

[tex]\Rightarrow \left (1 - \dfrac{1}{\infty} \right)^{\infty}\\\\\Rightarrow \left (1 - 0 \right)^{\infty}\\\\\Rightarrow 1[/tex]

B. (1 + n)ⁿ

Substitute n = ∞, then the value of the expression will be

[tex]\Rightarrow \left (1 + \infty \right)^{\infty}\\\\\Rightarrow \infty^{\infty} \\\\\Rightarrow \infty[/tex]

C. (1 – n)ⁿ

Substitute n = ∞, then the value of the expression will be

[tex]\Rightarrow \left (1 - \infty \right)^{\infty}\\\\\Rightarrow \infty^{\infty} \\\\\Rightarrow \infty[/tex]

D. (1 + 1/n)²

Substitute n = ∞, then the value of the expression will be

⇒ (1 + 1/∞)²

⇒ (1 + 0)²

⇒ 1²

⇒ 1

Then the value of the expression A, B, C, and D will be 1, ∞, ∞, and 1.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

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