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In: Statistics and Probability

Questions 1)For a test of H0 : μ = μ0 vs. H1 : μ ≠ μ0,...

Questions

1)For a test of

H0 : μ = μ0

vs.

H1 : μμ0,

the value of the test statistic z obs is -1.34. What is the p-value of the hypothesis test?

2)For a test of

H0 : μ = μ0

vs.

H1 : μ > μ0,

assume that the test statistic follows a t-distribution with 11 degrees of freedom. What is the critical value of the test if a 1% significance level is desired?

3)For a particular scenario, we wish to test the hypothesis H0 : μ = 11.8. For a sample of size 33, the sample mean is 9.4. The population standard deviation σ is known to be 6.2. Compute the value of the test statistic zobs.

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