The average American gets a haircut every 39 days. Is the average larger for college students? The data below shows the results of a survey of 15 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 48, 51, 38, 33, 32, 33, 34, 37, 40, 44, 45, 37, 33, 48, 38 What can be concluded at the the αα = 0.10 level of significance level of significance? 1. For this study, we should use?? t-test for a population mean or z-test for a population mean 2. The null and alternative hypotheses would be: H0:H0: ? p or μ Select an answer ≤ = ≠ ≥ > < H1:H1: ? μ or p Select an answer ≤ = < > ≠ ≥ 3. The test statistic ? t or z = ______ (please show your answer to 3 decimal places.) 4. The p-value = ______ (Please show your answer to 3 decimal places.) 5. The p-value is ? ≤ or > 6. Based on this, we should Select an answer accept fail to reject reject the null hypothesis. 7. Thus, the final conclusion is that ...???? a. The data suggest the population mean is not significantly higher than 39 at αα = 0.10, so there is enough evidence to conclude that the population mean number of days between haircuts for college students is equal to 39. b.The data suggest the population mean number of days between haircuts for college students is not significantly higher than 39 at αα = 0.10, so there is not enough evidence to conclude that the population mean number of days between haircuts for college students is higher than 39. c. The data suggest the populaton mean is significantly higher than 39 at αα = 0.10, so there is enough evidence to conclude that the population mean number of days between haircuts for college students is higher than 39.
The average American gets a haircut every 39 days. Is the average larger for college students? The data below shows the results of a survey of 15 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal.
48, 51, 38, 33, 32, 33, 34, 37, 40, 44, 45, 37, 33, 48, 38
What can be concluded at the the αα = 0.10 level of significance level of significance?
1. For this study, we should use?? t-test for a population
2. The null and alternative hypotheses would be:
H0:H0: ? p or μ Select an answer ≤ = ≠ ≥ > <
H1:H1: ? μ or p Select an answer ≤ = < > ≠ ≥
3. The test statistic ? t or z = ______ (please show your answer to 3 decimal places.)
4. The p-value = ______ (Please show your answer to 3 decimal places.)
5. The p-value is ? ≤ or >
6. Based on this, we should Select an answer accept fail to reject reject the null hypothesis.
7. Thus, the final conclusion is that ...????
a. The data suggest the population mean is not significantly higher than 39 at αα = 0.10, so there is enough evidence to conclude that the population mean number of days between haircuts for college students is equal to 39.
b.The data suggest the population mean number of days between haircuts for college students is not significantly higher than 39 at αα = 0.10, so there is not enough evidence to conclude that the population mean number of days between haircuts for college students is higher than 39.
c. The data suggest the populaton mean is significantly higher than 39 at αα = 0.10, so there is enough evidence to conclude that the population mean number of days between haircuts for college students is higher than 39.
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