For a random sample of 36 data pairs, the sample mean of the difference was 0.8. The sample standard deviation of the difference was 2. At the 5% level of significance, test the claim that the population mean of the differences is different from 0. a) check requirements, is it appropriate to use a Student's t distribution for the sample test statistic? Explain. What degree of freedom are used? b) state the hypotheses. c) compute the sample test statistic. (answer should be: t=2.400 with d.f.=35) d) estimate the P-value of the sample test statistic. (answer should be: 0.020
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For a random sample of 36 data pairs, the sample
a) check requirements, is it appropriate to use a Student's t distribution for the sample test statistic? Explain. What degree of freedom are used?
b) state the hypotheses.
c) compute the sample test statistic. (answer should be: t=2.400 with d.f.=35)
d) estimate the P-value of the sample test statistic. (answer should be: 0.020<P-value<0.050. TI-84 gives P-value=0.0218.
e) do we reject or fail to reject the null hypothesis? Explain.
f) what do your results tell you?
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- Use a 0.01 significance level to test the claim that the mean amount of time spent watching television by women is smaller than the mean amount of time spent watching television by men.The estimated standard error in the denominator of the dependent samples t statistic measures how much difference, in average, could be expected between pre- and post measurement by chance (i. e., if a sample is just measured twice without any treatment between the two measurements). A. True B. False ( dont hand writing solution)The prices of a sample of books at University A were obtained by two statistics students. Then the cost of books for the same subjects (at the same level) were obtained for University B. Assume that the distribution of differences is Normal enough to proceed, and assume that the sampling was random. a. First find both sample means and compare them. b. Test the hypothesis that the population means are different, using a significance level of 0.05. E Click the icon to view the table of prices. a. Find the sample mean for University A. (Round to the nearest cent as needed.) Find the sample mean for University B. (Round to the nearest cent as needed.) Compare the sample means. The sample mean is larger at b. Determine the hypotheses for this test. Let Hdifference be the mean of differences between the paired observations. Choose the correct answer below. OB. Ho: Hdifference 0 O E. Ho: Hdifference >0 = 0 Ha: Hdifference =0 Data Table #0 Find the test statistic for this test. %3= = (Round to…
- For a study of two independent samples: Sample 1: mean = 18.1, standard deviation = 2.5, sample size = 30; Sample 2: mean = 19, standard deviation = 2.0; sample size : 54. = a. Calculate t-obtained ONLY (do not interpret). a. How many degrees of freedom are there?Use the data and table below to test the indicated claim about the means of two populations. Assume that the two samples are independent simple randor samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Make sure you identify all values. An Exercise Science instructor at IVC was interested in comparing the resting pulse rates of students who exercise regularly and the pulse rates of those who de not exercise regularly. Independent simple random samples of 16 students who do not exercise regularly and 12 students who exercise regularly were selected and the resting pulse rates (in beats per minute) were recorded. The summary statistics are presented in the table below. Is there compelling statistical evidence that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? Use a significance value of 0.05. Two-Sample T-Test Sample…The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
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