The average annual miles driven per vehicle in the United States is 11.1 thousan
ID: 3317581 • Letter: T
Question
The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with 600 miles. Suppose that a random sample of 41 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.9 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance. What are we testing in this problem? single mean single proportion (a) What is the level of significance? State the null and alternate hypotheses. H0: = 11.1; H1: > 11.1 H0: p = 11.1; H1: p 11.1 H0: p = 11.1; H1: p < 11.1 H0: p = 11.1; H1: p > 11.1 H0: = 11.1; H1: 11.1 H0: = 11.1; H1: < 11.1 (b) What sampling distribution will you use? What assumptions are you making? The standard normal, since we assume that x has a normal distribution with known . The Student's t, since we assume that x has a normal distribution with unknown . The Student's t, since we assume that x has a normal distribution with known . The standard normal, since we assume that x has a normal distribution with unknown . What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value. (Round your answer to four decimal places.)
Explanation / Answer
The statistical software output for this problem is:
One sample Z summary hypothesis test:
: Mean of population
H0 : = 11.1
HA : 11.1
Standard deviation = 600
Hypothesis test results:
Hence,
a) Hypotheses:
H0: = 11.1; H1: 11.1
b) The standard normal, since we assume that x has a normal distribution with known .
Test statistic = -0.00
P - value = 0.9983
Mean n Sample Mean Std. Err. Z-Stat P-value 41 10.9 93.704257 -0.0021343747 0.9983Related Questions
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