Question

A news article reported that college students who have part-time jobs work an average of 15 hours per week. The staff of a college newspaper thought that the average might be different from 15 hours per week for their college. Data were collected on the number of hours worked per week for a random sample of students at the college who have part-time jobs. The data were used to test the hypotheses

Answer 1

The Confidence Interval of the given random sample survey is gotten as; CI = 13.755 ± 1.456

What is the confidence Interval?

We are given the hypotheses as;

Null Hypothesis; H₀: μ = 15

Alternative Hypothesis; Hₐ: μ ≠ 15.

where μ is the mean number of hours worked per week for all students at the college with part-time jobs.

We are told that it has a 95% confidence interval and degree of freedom of df = 25

From the t-table, the t-score = 2.06

The table gives us the standard error as 0.707 and sample mean of 13.755. Thus, we can find the confidence interval as;

CI = 13.755 ± 2.06(0.707)

CI = 13.755 ± 1.456

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