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.)
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
Related questions
Question
A car company says that the mean gas mileage for its luxury sedan is at least
normally distributed.
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 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?
Use a t-sampling distribution because the population is normal, and
σ
is unknown.Use a normal sampling distribution because the population is normal, and
σ
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
σ
is unknown.Use a t-sampling distribution because the population is normal, and
σ
is known.Part 2
State the appropriate hypotheses to test.
H0:
μ≥20
Ha:
μ<20
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.)Expert Solution
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