Hypothesis Testing: Below are abstract descriptions o four hypothesis testing si

Question

Hypothesis Testing: Below are abstract descriptions o four hypothesis testing situations. For each Hypothesis Testing problem, ask what is the parameter or parameters of interest. What kind of problem is this? Carefully notice the null and alternative hypotheses Identify the appropriate test statistic. Specify the critical value(s) for the hypothesis test. Compute the value of the test statistic. State your conclusion (accept or reject H_o) X has normal (73.2, sigma = 8.6) N = 45 alpha = 0.1 H_o: mu = 73.2 H_a: mu > 73.2 X_obs bar = 76.7

Explanation / Answer

null hypothesis:mean =73.2

alternate hypothesis:mean >73.2

test statisitci is z ; as we know population std deviation

critical value at 0.1 level z=1.2816

for std error=std deviation/(n)1/2 =1.282

hence test stat z=(X-mean)/std error =(76.7-73.2)/1.282=2.73

as test stat is higher then critical value we reject null hypothesis.

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