To testH0 :μ=105versusH1 :μ̸=105,asimplerandomsampleofsizen=25is obtained. (a) If x ̄ = 101.9 and s = 5.9, compute the test statistic. (b) Draw a t-distribution with the area that represents the p-value shaded. (c) Approximate and interpret the p-value. (d) If the researcher decides to test this hypothesis at the α = 0.01 level of significance, will the researcher reject the null hypothesis? Why?
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To testH0 :μ=105versusH1 :μ̸=105,asimplerandomsampleofsizen=25is obtained.
(a) If x ̄ = 101.9 and s = 5.9, compute the test statistic.
(b) Draw a t-distribution with the area that represents the p-value shaded.
(c) Approximate and interpret the p-value.
(d) If the researcher decides to test this hypothesis at the α = 0.01 level of significance, will the researcher reject the null hypothesis? Why?
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