For problems 44-50, refer to the given data and answer each question. Show all w
ID: 3323575 • Letter: F
Question
For problems 44-50, refer to the given data and answer each question. Show all work. (2 points each) A national police organization is lobbying congress for funding to hire more police nationwide. One of its arguments is that officers, time officers in cities on average, work significantly longer than full- duty, assuming full time is = 40 hours per week. A sample of n-9 officers from a medium- sized city had the following work hours last week: 43, 45, 48, 41, 45, 50, 50, 53, 48 Do these data support the claim of the national police group? Use a one-tailed test of -.05 with the S-127 44. State the null hypothesis. Show it in symbols. 45. State the research alternative hypothesis. Show it in symbols. 6 What critical value of t is associated with this level? 47 The sample mean is equal to what? 48 The test statistic () value is equal to what? 49. What conclusion is reached about the null hypothesis? What verbal statement would you make about the average work week when compared in relationship to the full-time duty of a 40 hour work week? 50.Explanation / Answer
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1) Police question
Sample mean = 47 (> 40)
The sample supports their claims.
We'll use the one-tailed t-distribution for hypothesis testing.
Null hypothesis: Mean = 40
Alternate hypothesis: Mean > 40
Standard deviation of the sample = 3.59
t-value = (47-40)3/3.59 = 5.85
critical t-value for 0.05 and degrees of freedom = 8 is 1.860
Since the computed t-value > critical t-value, null hypothesis can be rejected.
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