Below are the sample standard deviations and sample sizes for independent simple random samples from two populations. Use the two-standard-deviations F-test and the two-standard-deviations F-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. S₁ = 21.5, n₁ = 13, S₂ = 36.9, n₂ = 5 a. two-tailed test, a = 0.05 b. 95% confidence interval
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- In a random sample of 29 people, the mean commute time to work was 30.8 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 80% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results.Independent random samples were selected from population 1 and population 2. The following information was obtained from these samples: Population 1 Population 2 Sample Size 38 38 Sample Mean 24.3 22.9 Sample Std. Deviation 3.8 3.3 a) Find the 95% confidence interval for estimating the difference in the population means (µ1 - µ2).In a random sample of 18 people, the mean commute time to work was 32.6 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a t-distribution to construct a 80% confidence interval for the population mean p. What is the margin of error of u? Interpret the results. The confidence interval for the population mean p is (Round to one decimal place as needed.) The margin of error of u is (Round to one decimal place as needed.) Interpret the results. A. With 80% confidence, it can be said that the population mean commute time is betwren the bounds of the confidence interval. B. It can be said that 80% of people have a commute time between the bounds of the co Question Viewer O C. If a large sample of people are taken approximately 80% of them will have commute times between the bounds of the confidence interval. O D. With 80% confidence, it can be said that the commute time is between the bounds of the confidence interval. Click to select…
- Astudy was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. 26 2.35 0.87 40 2.6 054 a Test the claim that the two samples are from populations with the same mean.A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H1 H₂ The test statistic, t, is (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.) State the conclusion for the test. μ n X S Men P₁ 11 97.67°F 0.94°FA tire producer wants to test whether the mean diameter of the tires produced on a given day equals 36 inches. Whether the mean diameter is less than 36 is of little or no importance, but it is important for the firm to determine whether or not the mean diameter is more than 36 inches. The firm chooses a random sample of 49 tires, and find that their mean diameter is 36.4 inches and the sample standard deviation is 0.8 inches. Should the firm accept the hypothesis that the mean diameter is 36 inches? Use alpha = 0.05. What is the null hypothesis? What is the alternative hypothesis? What distribution are you using? What test are you running? What is your conclusion?Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample. samples = 100 mean = 0.341 st. dev = 0.039 40 30 20 10 0 0.20 Left Tail Two-Tail Right Tail 0.25 0.30 0.35 null = 0.33 Ja 0.40 ⠀ 0.45A researcher is planning a study of graduate students’ sleep deprivation. Assume that the population mean and standard deviation are provided, and a random sample of 25 students are drawn to participate. What statistical procedure is appropriate for conducting the study? - Z test - Independent samples t-test - Dependent samples t-test - ?Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 13, a1 = 24, 81 = 7.55 Sample 2: n2 = 3, x2 = 21.9, 82 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a significance level 0.01 for both parts. ___________________________________________________________________ Proctored Nonproctored μ μ1 μ2 n 34 32 x 74.86 83.25 s 10.51 18.27 _______________________________________________ a) Test the claim that students taking nonproctored tests get a higher mean score than those taking proctored…Independent random samples were selected from populations 1 and 2. Thesample sizes, means, and variances are as follows: Population 1 2 Sample Size 35 49 Sample Mean 12.7 7.4 Sample Variance 1.38 4.14 Find a 95% confidence interval for estimating the difference in thepopulation means (μ1 - μ1)You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters has a mean weight of 5.632 grams and a standard deviation of 0.056 gram. Use a single value to estimate the mean weight of all quarters. Also, find the 95% confidence interval for the average weight of all quarters. The estimate for the mean weight of all quarters is (Round to three decimal places as needed.) Find the 95% confidence interval for the mean weight of all quarters. grams <μSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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