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  3. consider the following hypothesis test. h0: Î

Consider the following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of 40 provided...

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Question

Statistics

Consider the following hypothesis test.

H0: μ ≤ 25
Ha: μ > 25

A sample of 40 provided a sample mean of 26.4. The populationstandard deviation is 6.

(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 = 0.01,

state your conclusion.

Reject H0. There is sufficient evidence toconclude that μ > 25.Reject H0.There is insufficient evidence to conclude that μ >25.      Do not rejectH0. There is sufficient evidence to concludethat μ > 25.Do not reject H0. Thereis insufficient evidence to conclude that μ > 25.

(d)

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

test statistic ≤test statistic ≥

State your conclusion.

Reject H0. There is sufficient evidence toconclude that μ > 25.Reject H0.There is insufficient evidence to conclude that μ >25.      Do not rejectH0. There is sufficient evidence to concludethat μ > 25.Do not reject H0. Thereis insufficient evidence to conclude that μ > 25.

Answer & Explanation Solved by verified expert
4.2 Ratings (503 Votes)
Solution 25 264 6n 40This is the righttailed test The    See Answer
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