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You may need to use the appropriate appendix table or technology to answer this question. Consider the...

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Statistics

You may need to use the appropriate appendix table or technologyto answer this question.

Consider the following hypothesis test.

H0: μ = 15
Ha: μ ≠ 15

A sample of 50 provided a sample mean of 14.05. The populationstandard deviation is 3.

(a)

Find the value of the test statistic. (Round your answer to twodecimal places.)

(b)

Find the p-value. (Round your answer to four decimalplaces.)

p-value =

(c)

At

α = 0.05,

state your conclusion.

Reject H0. There is sufficient evidence toconclude that μ ≠ 15.Reject H0. Thereis insufficient evidence to conclude that μ ≠15.     Do not rejectH0. There is sufficient evidence to concludethat μ ≠ 15.Do not reject H0. There isinsufficient evidence to conclude that μ ≠ 15.

(d)

State the critical values for the rejection rule. (Round youranswers to two decimal places. If the test is one-tailed, enterNONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

Reject H0. There is sufficient evidence toconclude that μ ≠ 15.Reject H0. Thereis insufficient evidence to conclude that μ ≠15.     Do not rejectH0. There is sufficient evidence to concludethat μ ≠ 15.Do not reject H0. There isinsufficient evidence to conclude that μ ≠ 15.

Answer & Explanation Solved by verified expert
3.7 Ratings (694 Votes)
SolutionaThe test statistic z is given byz 1405 15 350 040The value of the statistic z 224bNow    See Answer
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