Refer to a random sample of 20 undergraduate students who worked an average of 13.5 hours per week for a university. Assume the population is normally distrihuted with a standard deviation of 5 hours per week. Test the claim that the average student works less than 15 hours per week at the alpha = 0.02 significance level by comparing the calculated z-score to the critical z-score. 1. Identify and write the null (Ho) and alternative hypotheses (На). 2. Calculate and show the standard error of the mean! 3. Calculate the z-score. 4. State if Ho is accepted or rejected. 5. Show the normal distribution diagram and identify the acceptance and rejection region (s) Z-score on your diagram Also show the critical
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A: Solution We want to test the population mean of rating is less than 7.
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- Has the average time between telephone orders changed from 3.8 minutes, the mean of two years ago? This is the question facing a telephone mail-order company that has just started selling items based on special promotional materials. The population standard deviation from initial study was 0.5 minutes. A random sample of 100 telephone orders reveals a sample mean of 4 minutes. A significance level of 0.02 is chosen for this hypothesis test. Test the hypothesis using the p-value and choose which of the following outcomes is true. Select one: a. p-value = 0.00003, less than the significance level 0.02, reject the null hypothesis b. p-value = 0.00006, less than the significance level 0.02, reject the null hypothesis c. p-value = 0.99997, greater than the significance level 0.02, fail to reject the null hypothesis d. p-value = 0.00003, less than the significance level 0.02, fail to reject the null hypothesisA data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 197, x=6.52, s=1.84. Use a 0.05 significance level to test the claim that the population mean of such Tatings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho =7.00 H, p>7.00 O B. Ho p=700 H p 7.00 O C. Ho p= 7.00 H: p7.00 Determine the test statistic. | (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. 7.00. Ho. There is Vevidence to conclude that the mean of the population of ratings is Activate Windeows Next Statcrunch 4:24 PM 11/29/2021 Type here to search 144 00 %24 4. 5 7. U. CO 96Suppose we are contracted by the Justice Department to study the extent of juvenile delinquency. We take a random sample of 100 juveniles, and we find that the mean number of crimes committed is 12 with a standard deviation of 7. Test the null hypothesis that the mean number of crimes committed by the population of juveniles is less than or equal to 11. Use a significance level of .05. (Be sure to show the numeric results that lead to your decision.) Do we reject the null hypothesis here? why or why not.
- A random sample of 43 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.52 with a standard deviation of 0.17. Test the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.51 for the general population. Use a 0.05 significance level. State the null and alternative hypotheses. O B. Ho H= 0.51 O A. H, p= 0.51 H3 p> 0.51 H3 µ#0.51 ОС. Но н0.51 H3 p= 0.51 O D. Ho H=051 H, p<0,51A sample of 20 third-grade students had a average of 54 on a math proficiency test, with a sample standard deviation of 11. Is there enough evidence to conclude that the third-grade sample mean differs significantly from the third-grade population mean of 67? Assume a 0.02 significance level. Use the Critical Value Method of Testing (this means NO P-Values!). will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1 3. The test statistic4. The type of test(left, right, two-tailed) and the p-value 5. The decision to accept Ho or reject HoA random sample of 23 bags of apples (marked as 10 pounds each) received by a large grocery chain tested out as having a mean of 9.2 pounds with a variance of 2.56 pounds. Test whether the true mean of all bags is under 10 pounds. Set up hypotheses. Perform the appropriate test by showing your formula. Interpret the results using a Type I (alpha) error of .05. Also provide the p value here. Also construct a 95% confidence interval around your sample mean (X bar) that should contain the true mean (mu). Also interpret this interval.
- A soap bar produced by a company is claimed to have a mean net weight of 4.5 ounces. A consumer agency wants to test this claim. A sample of 80 soap bars of this brand gave a mean net weight of 4.46 ounces with a standard deviation of .06 ounces. Test at the 1% significance level if the mean net weight of these soap bars is less than 4.5 ounces. 1. Null hypothesis: S [ Select ] 2. Alternative hypothesis: [ Select ] 3. Critical values: [Select] 4. Test Statistic: [ Select ] 5. Conclusion: [Select ] 6. Summary statement: I [ Select ]A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 187, x=7.81, s=1.98. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than a00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and altemative hypotheses? O A. Ho =8.00 H u+8.00 O B. H, p=8.00 H,p8.00 OC. Ho u8.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. E(Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V H. There is V evidence fo conclude that the mean of the population of ratings is V 8.00.A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 194, x= 5.81, s= 1.95. Use a 0.05 significance level to test the claim that the population mean of such ratings that addresses the original claim. less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion What are the null and altemative hypotheses? O A. Ho: H= 6.00 O B. Ho: H 6.00 H:p#6.00 OC. Ho: H=6.00 O D. Ho: H=6.00 H: p> 6.00 Hy: H<6.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. O (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is V evidence to conclude that the mean of the population of ratings is V 6.00. not greater than equal to Click to select your answer(s). less than étv MacBook Air FI F10 14 F7 F9 心. F6 esc F3 F2 $ % & @…
- A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is not equal to the mean of WaxCo. In a random sample of 12 floors of WaxWin and 20 of WaxCo. WaxWin had a mean lifetime of 27.6 with a standard deviation of 8.8 and WaxCo had a mean lifetime of 20.3 with a standard deviation of 7.6. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: HA: P1 > µ2(claim) Ho: µ1 2 µ2 HA: µ1 < µ2(claim) Ho: µ1 = µ2 HA: H1 + H2(claim) Since the level of significance is 0.01 the critical value is 2.836 and -2.836 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)A survey using a sample size of 11 reveals that the average size of dairy farms in Simcoe County is 1500 hectares with a standard deviation of 150 hectares. As a researcher, you take this information and conduct a hypothesis test and find the calculated value of the test statistic is 2.2. Prior to the study, the following hypotheses were established: но: и - 1400 H1: u > 1400 Use a = 0.01. Based on the test statistic and sample size, what the p-value is so we should the null hypothesis. _(0.0262, .0262, 0.026, .026) Given that the p-value is (greater/less) (greater, larger, >, bigger) than a, we should (accept/reject) _ lаccept) the null hypothesis. 0.062, reject ) 0.0131, accept 0.0026, reject ) 0.0262, accept 0.062, acceptA custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is less than the mean of WaxCo. In a random sample of 20 floors of WaxWin and 17 of WaxCo. WaxWin had a mean lifetime of 26.4 with a standard deviation of 8.6 and WaxCo had a mean lifetime of 27.2 with a standard deviation of 6.6. Perform a hypothesis test using a significance level of 0.05 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: Ο Ηο: μι < με HA₁₂(claim) Ο Ηρ: με 2 με HA: 1₂(claim) O Ho: ₁ = ₂ HAM12(claim) Since the level of significance is 0.05 the critical value is -1.69 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)