A car company claims that the mean gas mileage for its luxury sedan is at least 24 miles per gallon. A random sample of 7 cars has a mean gas mileage of 23 miles per gallon and a standard deviation of 1.1 miles per gallon. At α=0.05, can you support the company’s claim assuming the population is normally distributed?


Answer 1


a) t sampling distribution because B the population is normal, and standard deviation is unknown

b)  H0: mu 21

alpha = 0.05

t critical value at 4 df and alpha 0.05 is 2.132

The rejection region is t > 2.132

t = (xbar - µ)/(s/√n)

t = (19 - 21 )/(4/√5)

t = -2 / (4/2.2361)

t = -1.118

t does not fall into the rejection region, so we have insufficient evidence to reject the null hypothesis. The claim cannot be verified.

We tested the manufacturer's claim that the mean mpg is greater than 21, at alpha = 0.05. We used a one-tailed one-sample t-test (4 df). We placed the rejection region in the right tail of the t-distribution because we were only interested in the claim that the mileage was more than 21. The test result showed that the claim could not be validated. The sample mean was 19, which was less than the claim, so no calculations were needed to reject the null hypothesis. We were not able to find that the mean was statistically greater than 21.

Related Questions


Aspen Bakery sold 40 boxes of rolls in one day. Each box holds 6 rolls. How many rolls did the bakery sell? Can someone please help me with this question? I’m confused.



He sold 240 rolls.

Step-by-step explanation:

To find the amount of rolls he sold, we can multiply the amount of rolls in each box by the amount of boxes sold. If there are 6 rolls in each box, and he sold 40 boxes, then we would multiply 6 by 40.


He sold 240 rolls.

Hope this helps!


Divide mentally 270 divided by 3


The value of 270 divided by 3 is 90.

What is Division?

A division is a process of splitting a specific amount into equal parts.

We have to divide 270 by 3

Two hundred seventy divided by three.

We know that 27 divide by three we get 9.

But in 270 there is a zero

So we place zero to the right side of the quotient 9.

Which makes the quotient 90.

So 270/3 is 90.

Hence, the value of 270 divided by 3 is 90.

To learn more on Division click:


I think 90 is the answer


Determine whether each sequence is arithmetic or geometric. sequence 1: 32, 16, 0, –16, ... sequence 2: 32, 16, 8, 4, ... a. both sequences are geometric.

b. sequence 2 is arithmetic and sequence 1 is geometric.

c. sequence 1 is arithmetic and sequence 2 is geometric.

d. both sequences are arithmetic.


32, 16, 0, -16, ...
It's an arithmetic sequence:

32, 16, 8, 4, ...
It's a geometric sequence:

Answer: sequence 1 is arithmetic and sequence 2 is geometric.


It's an arithmetic sequence:

Step-by-step explanation:


A rectangular safe can hold 5184 cubic inches. Gold bars that are 3 inches by 6 inches by 2 inches fit to completely fill the safe. What is the maximum number of girl bars that will fit in the safe? 36 288 144 72



144 gold bars

Step-by-step explanation:

first you fine the area gold bars take up in cubic inches by multiplying the 3, 2, and 6 to get 36

once you have the space 1 gold bar takes up you divide the total space by that the total space is 5184 so you divide 5184 by 36 to get 144


c. 144

Step-by-step explanation:



Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 10 cm and the height of the pyramid is 11 cm. To get the wax for the candle, Devin melts cubes of wax that are each 3 cm by 3 cm by 3 cm. What is the minimum number of wax cubes Devin will need in need in order to make the candle? Show your work. Please explain.


The first thing you should do in this case is to calculate the volume of the square pyramid, which will be given by:
 V = (Ab * h) / 3
 Ab: Area of the base.
 h: height of the pyramid.
 Substituting the values we have:
 V = ((10 * 10) * (11)) / 3
 V = 366.6666667 cm ^ 3
 We now calculate the volume of each cube, which will be given by:
 V '= L ^ 3
 L: sides of the cubes.
 Substituting we have:
 V '= (3) ^ 3
 V '= 27 cm ^ 3
 The number of cubes will be:
 N = (V) / (V ')
 N = (366.6666667) / (27)
 N = 13.58024691
 the minimum number of wax cubes Devin will need is 13 in order to make the candle

One serving of soybeans contains 14 grams of protein and 8 grams of fat. One serving of rice contains 4 grams of protein and 1/2 gram of fat. Calculate the number of servings of each that need to be combined, in order to end up with precisely 30 grams of protein and 15 grams of fat. How many servings of rice will be needed?


Answer: 1.8 servings of soybean and 1.2 servings rice will be needed.

Step-by-step explanation:

Let x be the number of soybeans and y be the number of rice.

Then , According to the question , we have

Multiply 2 on both the sides of equation (2), we get

Subtract equation (2) from equation (3), we get

Put x = 1.8 in equation (2), we get

Hence, 1.8 servings of soybean and 1.2 servings rice will be needed.


What is one quarter of 2/3?


 0.1666666666 is the answear

Write the closest benchmark for the percent 8%


Since the decimal of 8% is 0.08 te fraction is 8/100 and in simpest form it is 2/25 The closest benchmark is 2/25

Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?


Assume he played x games in total.

So x * 60% = 12

->x = 12 / 60% = 20



g=20 games
Random Questions