(Answered) Given the following hypothesis h0nbsp mu le 11h1nbsp mu gt

Statistics

Given the following hypothesis: H₀ : μ ≤ 11H₁ : μ > 11

For a random sample of 10 observations, the sample mean was 12 and the sample standard deviation 5.00. Using the 0.025 significance level:

(a) State the decision rule. (Round your answer to 3 decimal places.)

Reject H₀ if t >

(b) Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

Value of the test statistic

(c) What is your decision regarding the null hypothesis? (Click to select) Reject Cannot reject H₀. There is (Click to select)sufficientinsufficient evidence to conclude that the population mean is greater than 11.

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