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In: Statistics and Probability

Find the p-value, Part I. An independent random sample is selected from an approximately normal population...

Find the p-value, Part I. An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given set of hypotheses and T test statistic. Also determine if the null hypothesis would be rejected at α = 0.05. (a) HA :μ>μ0,n=11,T =1.91 (b) HA :μ<μ0,n=17,T =−3.45 (c) HA :μ?μ0,n=7,T =0.83 (d) HA :μ>μ0,n=28,T =2.13

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ANSWER:

for part C sign of the alternative hypothesis is not given in question. but similarly you can find p value for part c if p-value is greater than 0.05 then H0 is accepted, or if p-value is less than 0.05 then H0 is rejected at 5% level of significance.

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