A sample of 16 cookies is taken to test the claim that each
cookie contains at least 9 chocolate chips. The average number of
chocolate chips per cookie in the sample was 7.875 with a standard
deviation of 2. Assume the distribution of the population is
normal. Let mu denote the average number of chocolate chips in all
the cookies. The hypothesis to test the claim is: H_{0}:/geq 9 ,
H_{a}: u< 9 /geq 9 , H_{a}: u< 9 .
a) what is the test statistic
b) the critical value for this test at a 0.5 level of
significance is
c) the p-value for this test statistic is
d) at a 0.5 level of significance, it can be concluded that the
mean of the population is
