Consider H_0: mu = 72 versus H_1: mu > 72. A random sample of 16 observations ta

Question

Consider H_0: mu = 72 versus H_1: mu > 72. A random sample of 16 observations taken from this population produced a sample mean of 74.8. The population is normally distributed with sigma = 6. a. Calculate the p-value. Round your answer to four decimal places. p = b. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.01? c. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.025?

Explanation / Answer

a) std error =std deviation/(n)1/2 =1.5

hence test stat z=(74.8-72)/1.5=1.8667

p value =0.0310

b) No we will not reject it as p value is higher then 0.01 level

c)No we will not reject it as p value is higher then 0.01 level

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