The average American gets a haircut every 38 days. Is the average larger for college students? The data below shows the results of a survey of12college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal.

46

31

30

36

49

32

40

34

46

46

32

36

What can be concluded at the the= 0.10 level of significance level of significance?

1. For this hypothesis test, what sampling distribution should be used?Select an answer

uniform distribution

binomial distribution

standard normal distribution

Chi-square distribution

Student t distribution

The null and alternative hypotheses would be:

H0:,p Select an answer

=,,>,<

H1:p, Select an answer

,>,=,<

The test statistic? z,t (please show your answer to 3 decimal places.)

The p-value =(Please show your answer to 3 decimal places.)

The p-value is? ,>

Based on this, we shouldSelect an answer

reject

fail to reject

accept

the null hypothesis.

Thus, the final conclusion is that ...

• The data suggest the populaton mean issignificantlyhigher than 38 at= 0.10, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is higher than 38.
• The data suggest the population mean number of days between haircuts for college students is notsignificantlyhigher than 38 at= 0.10, so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is higher than 38.
• The data suggest the population mean is notsignificantlyhigher than 38 at= 0.10, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 38.