A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.1 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute (the mean resting pulse rate for men). Use the critical value method of testing hypotheses. 69 68 59 49 62 74 62 48 50 65 74 58 Enter the smallest critical value. (Round your answer to nearest thousandth.)
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A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.1 significance level to test the claim that these sample pulse rates come from a population with a
69 68 59 49 62 74 62 48 50 65 74 58
Enter the smallest critical value. (Round your answer to nearest thousandth.)
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- A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.05 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute (the mean resting pulse rate for men). Use the p-value method of testing hypotheses. 70 50 51 50 59 6149 76 64 68 76 77 Enter the p-value. (Round your answer to nearest thousandth.) When using tables to find a tight range for the p-value, enter one of the boundaries of the interval (not 0 or 1) found using the tables. 1. Extract Information: 2. Original Claim: 3. Но H 4. Test Statistic: 6. p-Value: 5. Distribution (Graphically): 7. Statistical Conclusion: 8. Final Words:The following data are from a completely randomized design. In the following calculations, use ? = 0.05. Treatment1 Treatment2 Treatment3 62 83 70 46 71 54 53 88 60 39 70 48 xj 50 78 58 sj2 96.67 79.33 88.00 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. H0: ?1 = ?2 = ?3Ha: Not all the population means are equal.H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3 H0: At least two of the population means are equal.Ha: At least two of the population means are different.H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.Reject H0. There is…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. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? What is the test statistic, t? What is the P-value? State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
- Listed below are the lead concentrations (in ug/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg /g. 2.96 6.45 5.99 5.51 20.53 7.45 11.97 20.46 11.52 17.54 D Identify the null and alternative hypotheses. Ho: H1: (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. V the null hypothesis. There sufficient evidence at the 0.01 significance level to V the claim that the mean lead concentration for all Ayurveda medicines…A study 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 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁₁₂ The test statistic, t, is (Round to two decimal places as needed.) OB. Ho: H₁₂ H₁: H₁A researcher would like to evaluate the effectiveness of a pain-relief patch designed for lower back pain. Prior to testing the patch, each of n = 8 patients rates the current level of back pain on a scale from 1 to 10. After wearing the patch for 90 minutes, a second pain rating is recorded. The data are as follows: Include in your responses: A. Compute the mean and variance for the sample of difference scores. B. Provide the Null and alternative hypotheses C. Calculate SSDIn a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 70 write with their left hands and 444 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.A study 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. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: Hq ZH₂ OC. Ho: H₁ H₂ H₁: Hy > H₂ The test statistic, t, is. (Round to two decimal places as needed.) (Round to three decimal places as needed.) The P-value is State the conclusion for the test. C... OB. Ho: H₁ H₂ H₁: Hy #H₂ OD. Ho: Hg #U2 H₁: HyA manufacturer uses a new production method to produce steel rods. A random sample of 3 steel rods resulted in lengths with a standard deviation of 3.42 cm. At the 0.01 significance level, using the critical value method, test the claim that the new production method has lengths with a standard deviation different from 3.13 cm, which was the standard deviation for the old method. Enter the smallest critical value. (Round your answer to nearest thousandth.) 1. Extract Information: 2. Original Claim: 3. Hа H;: | 4. Distribution (Graphically): 6. Test Statistic: 7. Statistical Conclusion: 8. Final Words: 5. Critical Value(s):A study 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 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho H1 H2 H₁: H1 H2 The test statistic, t, is -1.55. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) OB. Ho: H1 H2 H₁₁₂ D. Ho: H1 H2 H₁: H1 H2 Treatment Placebo μ H₁ H2 n 25 40 X 2.38 2.65 S 0.53 0.87A study 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 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H¹/₂ H₁: H₁A magazine reported that at the top 50 business schools in a region, students studied an average of 13.3 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 13.3 hour benchmark. Complete parts (a) through (c) below. O E. H X#13.3 H: X= 13.3 P. Ho p=13.3 H, p#13.3 O G. H, p= 13.3 H, X+13.3 OH. H, p#13.3 H, p=13.3 OL H a 13.3 H: a = 13.3 O J. Ho a= 13.3 H a# 13.3 O K. H, p# 13.3 H1: X= 13.3 OL Ho B#13.3 H B= 13.3 b. What is a Type I error for your test? A. Concluding that the mean number of hours studied at your school is different from the reported 13.3 hour benchmark when in fact it is not different O B. Concluding that the mean number of hours studied at your school is different from the reported 13.3 hour benchmark when in fact it is different C. Concluding that the mean number of hours studied at your school is not different from the reported 13.3 hour benchmark when in fact it is different c. What is a…SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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