On average, Americans have lived in 2 places by the time they are 18 years old. Is this average more for college students? The 42 randomly selected college students who answered the survey question had lived in an average of 2.28 places by the time they were 18 years old. The standard deviation for the survey group was 0.6. What can be concluded at the α= 0.10 level of significance? The null and alternative hypotheses would be: H0: H1: b.The test statistic = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.)

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On average, Americans have lived in 2 places by the time they are 18 years old. Is this average more for college students? The 42 randomly selected college students who answered the survey question had lived in an average of 2.28 places by the time they were 18 years old. The standard deviation for the survey group was 0.6. What can be concluded at the
α= 0.10 level of significance?

The null and alternative hypotheses would be:

H0:

H1:

b.The test statistic = (please show your answer to 3 decimal places.)

c. The p-value = (Please show your answer to 4 decimal places.)

Expert Solution
Step 1

Given information-

Population mean, μ = 2 places

Sample size, n = 42

Sample mean, x-bar = 2.28 places

Sample standard deviation, s = 0.6

Assuming, significance level, α = 0.1

We have to test the claim that the average is more for college students.

Hypothesis Formulation-

Null Hypothesis, H0: μ = 2

Alternate Hypothesis, Ha: μ > 2

Since here population standard deviation is unknown so using t-test statistics.

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