A car company says that the mean gas mileage for its luxury sedan is at least 20 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 18 mpg and a standard deviation of 2 mpg. At α=0.10, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. LOADING... Click here to view page 1 of the normal table. LOADING... Click here to view page 2 of the normal table. LOADING... Question content area bottom Part 1 Which sampling distribution should be used and why? A. Use a t-sampling distribution because the population is normal, and σ is unknown. Your answer is correct. B. Use a normal sampling distribution because the population is normal, and σ is known. C. Use a t-sampling distribution because n<30. D. Use a normal sampling distribution because n>30. E. Use a normal sampling distribution because the population is normal, and σ is unknown. F. Use a t-sampling distribution because the population is normal, and σ is known. Part 2 State the appropriate hypotheses to test. A. H0: μ≥20 Ha: μ<20 Your answer is correct. B. H0: μ≠20 Ha: μ=20 C. H0: μ=20 Ha: μ≠20 D. H0: μ≤20 Ha: μ>20 Part 3 What is the value of the standardized test statistic? The standardized test statistic is negative 2.24−2.24. (Round to two decimal places as needed.) Part 4 What is the critical value? The critical value is enter your response here. (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

See similar textbooks

Question content area bottom

Part 1

Which sampling distribution should be used and why?

Use a t-sampling distribution because the population is normal, and

is unknown.

Your answer is correct.

Use a normal sampling distribution because the population is normal, and

is known.

Use a t-sampling distribution because

n<30.

Use a normal sampling distribution because

n>30.

Use a normal sampling distribution because the population is normal, and

is unknown.

Use a t-sampling distribution because the population is normal, and

is known.

Part 2

State the appropriate hypotheses to test.

H0:

μ≥20

Ha:

μ<20

Your answer is correct.

H0:

μ≠20

Ha:

μ=20

H0:

μ=20

Ha:

μ≠20

H0:

μ≤20

Ha:

μ>20

Part 3

What is the value of the standardized test statistic?

The standardized test statistic is

negative 2.24−2.24.

(Round to two decimal places as needed.)

Part 4

What is the critical value?

The critical value is

enter your response here.

(Round to three decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution