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?

MATLAB: An Introduction with Applications
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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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