The U.S. Bureau of Labor and Statistics reported that a person between the ages

Question

The U.S. Bureau of Labor and Statistics reported that a person between the ages of 18 and 34 has had an average of 9.2 jobs. To see if this average is correct, a researcher selected a sample of 12 workers between the ages of 18 and 34 and asked how many different places they had worked. The results were as follows: 5 10 12 8 2 3 4 1 6 7 7 6 At alpha = 0.10, can it be concluded that the mean is 9.2? Use the P-value method. Assume the population is normally distributed. State the hypotheses and identify the claim with the correct hypothesis. H_0: mu H_1: mu This hypothesis test is a test.

Explanation / Answer

Solution;

Here
x = 5.9167
x = 71
x^2 = 533
Sx = 3.2039

Test Hypothesis:
H0: = 9.2
Ha: 9.2

= 0.10, /2 = 0.05, df = 12-1 = 11

t = 5.9167- 9.2/(3.2/12) = -3.55
CV = t0.05 = -1.795
Compare: -3.55 < -1.795

Conclusion: We can reject Ho

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