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- Express the confidence meral (56 % , 62.4 % ) in the form ofp E 011The average salary in this city is $47,100. Is the average more for single people? 68 randomly selected single people who were surveyed had an average salary of $48,957 and a standard deviation of $9,000. What can be concluded at the α= 0.05 level of significance? a. The test statistic=n (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 4 decimal places.)
- Statisticians can translate ?p-values into several descriptive terms. Which of the following statements are correct? A. if 0.05<?−value<0.100.05<p−value<0.10, there is weak evidence to infer that the alternative hypothesis is true B. if the ?−value<0.01p−value<0.01, there is overwhelming evidence to infer that the alternative hypothesis is true C. if 0.01<?−value<0.050.01<p−value<0.05 there is strong evidence to infer that the alternative hypothesis is true D. All of the above statements are correctAssume that a sample is used to estimate a population mean u. Find the 99% confidence interval for a sample of size 376 with a mean of 16.8 and a standard deviation of 15.9. Enter your answer as a tri-linear inequality accurate to 3 decimal places.Below, n is the sample size, p is the population proportion and p is the sample proportion. Use the Central Limit Theorem and the TI-84 Plus calculator to fin the probability. Round the answers to at least four decimal places. n=100 p=0.18 P(0.14In testing the hypotheses H0:p = 0.48 vs. Ha: p > 0.48, the p-value is found to be .0712, with a sample proportion of 0.58. Which of the following statements is true about the p-value? A. The probability of observing a sample proportion larger than 0.48 from a population with true proportion 0.58 is .0712. B. The probability of observing a sample proportion larger than 0.58 if the true proportion is actually 0.48 is .0712. C. Since the p-value is larger than the difference between 0.48 and 0.58 we should reject the null hypothesis. D. The probability of observing a population proportion larger than 0.58 if the true proportion is actually 0.48 is .0712.Calculate the margin of error and construct the confidence interval for the population mean using the Student's t-distribution (you may assume the population data is normally distributed). -Distribution Table a. x = 86.8, n = 68, s = 10.4, 99% confidence - Round to two decimal places if necessary k € <μ< SAMSUNG SUBMIT QUESTION SAVE PROGRESS SUBMIT ASWhat is the P(−2.5<t<2.5) with a sample size of 5.The graph portrays the decision criterion for a hypothesis test for a population mean. The null hypothesis is H:H=Po: The curve Is the normal curve for the test statistic under the assumption that the null hypothesis is true. Use the graph to solve the problem. A graphical display of the decision criterion follows. 0.9- Do not reject H. Reject H, 0.8- 0.7 -0.6- 0.5- 034 10.005 413 3542s s 8 o59 03 1.is 17 136 2.576 Determine the rejection reglon. Submit Assignment Continue 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy AccessibilityClaim: The mean pulse rate (in beats per minute) of adult males is equal to 68.7 bpm. For a random sample of 151 adult males, the mean pulse rate is 69.7 bpm and the standard deviation is 11.3 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. bpm (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. Но bpm H1: (Type integers or decimals. Do not round.) bpmFor a hypothesis test of the claim that the mean amount of sleep for adults is less than 9 hours, technology output shows that the hypothesis test has power of 0.4486 of supporting the claim that µ< 9 hours of sleep when the actual population mean is 7.5 hours of sleep. Interpret this value of the power, then identify the value of ß and interpret that value. Interpret this value of the power. A. The chance of recognizing that µ< 9 hours is not very high when in reality µ = 7.5 hours. B. The chance of failing to recognize that µ = 7.5 hours is not very high when in reality μ = 7.5 hours. C. The chance of recognizing that µ< 9 hours is very high when in reality μ = 7.5 hours. D. The chance of failing to recognize that μ< 9 hours is not very high when in reality μ = 7.5 hours. Identify the value of ß and interpret that value. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) A. The value = indicates that there is…Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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