The average American gets a haircut every 35 days. Is the average smaller for college students? The data includes the results of a survey of 11 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. Suppose that you are given the test statistic: t = -1.8. Answer the following questions: We should conduct a Select an answer right-tailed two-tailed left-tailed Correct test
The average American gets a haircut every 35 days. Is the average smaller for college students? The data includes the results of a survey of 11 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. Suppose that you are given the test statistic: t = -1.8. Answer the following questions:
We should conduct a Select an answer right-tailed two-tailed left-tailed Correct test.
The p-value = __________ (Please show your answer to 3 decimal places.)
I just need to help finding the p-value please. Thank you
In this case, a test is conducted by an agency to see whether the average is less than 35. Here, the claim implies that the "less than" sign should be used as part of the alternative hypothesis H1. Thus, the test is a left-hand / one-tailed test.
The degrees of freedom can be calculated as:
DF = n -1
Here,
n = sample size
Thus, for this case,
DF = n-1
= 11 -1
=10
The area (p-value) can be obtained by using the t table. In this case, find the area for a t-score of -1.8 and with 10 degrees of freedom from the table. The required proportion is 0.051. Hence, the p-value is 0.051. The p-value for this test can be found by using Excel as well. The screenshot of the Excel is given below:
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