According to a report released by CIBC, the average age for Canadian businesswomen in 2008 was 41. Suppose now, several years later, business researchers want to test to determine if the mean age of Canadian women has increased. The researchers randomly select 97 Canadian businesswomen and find that the sample mean is 43.4. From past experience, it is known that the population standard deviation is 8.95. Let α = 0.01.

a. State the null and alternative hypothesis. You can use the symbols tab to copy the symbols you need.

H0:

HA:

b. What is the value of test statistic you need to test this hypothesis? 

test statistic:

c. Interpret the number you got in part b.

d. For the hypothesis test, specify the critical value:

critical value:

f. Complete the hypothesis test and state complete conclusions:

g. What type of error could you have made in your hypothesis test? Explain what it menas to make this type of error.

h. Find the p-value for this test.

p-value

i.Explain what the p-value shows and how you use it to make conclusions about your hypothesis.