"An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal t 858 hours and a standard deviation of 54 hours. Random samples of 50 bulbs are drawn from this population, and the mean of each sample is determined. What is the mean of the mean of the sampling distribution?" 858 8 54 50
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- estion Help In a psychology journal, researchers reported that a chief executive officer's facial structure can be used to predict a firm's financial performance. The study involved measuring the facial width-to-height ratio (WHR) for each in a sample of 51 CEOS at publicly traded Fortune 500 firms. These WHR values (determined by computer analyzing a photo of the CEO's face) had a mean of x = 1.81 and a standard deviation of s = 0.12. Use this information to complete parts a and b below. a. Find and interpret a 90% confidence interval for u, the mean facial WHR for all CEOS at publicly traded Fortune 500 firms. (Round to three decimal places as needed.) O A. The 90% confidence interval for mean facial WHR indicates that the true mean facial WHR for the CEOS in the sample is between and with 90% confidence. O B. The 90% confidence interval for mean facial WHR indicates that 90% of all CEOS at publicly traded Fortune 500 firms have a WHR between and O C. The 90% confidence interval for…A researcher wishes to test the effects of excerise on the ability to complete a basic skills test. He designs a pre-test and post-test to give to each participant. You believe that there was a difference in the scores. You believe the population of the differences is normally distributed, but you do not know the standard deviation. When calculating difference use Post-test minus Pre-test. pre-test post-test 63 71 97 94 66 66 41 32 96 97 41 45 79 81 98 106 76 70 63 70 42 47 86 94 Which of the following are the correct hypotheses? O Ho: Hd 2 0 HA: Ha 0(claim) O Ho: Hd = 0 HA: Hd + 0(claim) Given that a is 0.05 the critical value is 2.201 and -2.201 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that there was a difference in the scores. O There is not enough evidence to reject the claim that there was a difference in…Listed in the accompanying table are waiting times (seconds) of observed cars at a Delaware inspection station. The data from two waiting lines are real observations, and the data from the single waiting line are modeled from those real observations. 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). One Line Two Lines 64.1 733.6 64.3 865.2 157.2 605.8 215.8 1089.7 142.2 267.8 85.6 662.7 278.9 310.2 339.6 518.1 253.2 128.8 199.5 565.6 475.7 132.9 630.3 268.2 478.2 122.1 333.1 350.4 473.5 128.9 328.9 95.2 402.1 232.7 914.6 99.7 721.6 461.2 552.8 162.7 760.7 482.2 596.7 100.6 692.3 518.1 837.1 508.5 903.1 580.2
- The data represents the murder rate per 100,000 individuals in a sample of selected cities in the United States. Find the variance and standard deviation. Round your answer to at least one decimal place. class limit Frequency 5-11 9 12-18 5 19-25 8 26-32 3 33-39 3 40-46 734% of CSU students participate in the Statistics Games while they attend CSU. You take a random sample of 40 students. You want to determine the probability that more than 15 of them have participated in the Statistics games. Since the conditions are met, you decide to use the Normal model to find your answer. What is the mean and standard deviation of the sampling distribution?esc Introduction A chain of restaurants has historically had a mean wait time of 9 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 44 customers. The mean wait time for the sample is 9.6 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. The value of the test statistic is given by Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Explanation μ Check □<口 X X OSO 020 0=0 x-H √n • The p-value is the area under the curve to the right…
- Español A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.2 ounces of coffee per cup. BIG has good reason to believe that the mean amount of coffee dispensed by the machine, u, is greater than 7.2 ounces, and plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 7.6 ounces and that the standard deviation is 0.5 ounces. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for the test? Ho :0 OEspañiol A scientist has read that the mean birth weight of babies born at full term is 7.4 pounds. The scientist has good reason to believe that the mean birth weight of babies born at full term, µ, is different from this value and plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.8 pounds and the standard deviation to be 1.8 pounds. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for the test? Ho :0 OQ10: Show work by typing please TYPINGDetecting gypsy moths The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed with a mean of 0.5 and a standard deviation of 0.7. a. Explain why it is reasonable to use a Normal distribution to approximate the sampling distribution of for SRSS of size 50. b. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. c. In a recent month, the mean number of moths in an SRS of size 50 was = 0.6. Based on this result, is there convincing evidence that the moth population is getting larger in this state? Explain your reasoning.Suppose that 49% of all adult women think they do not get enough time for themselves. An opinion poll interviews 958 randomly chosen women and records the sample proportion who feel they don't get enough time for themselves. a. Describe the sampling distribution of p. Mean = ________ Standard Deviation=__________ b. The truth about the population is p=0.49. In what range will the middle 95% of all sample results fall? lower bound -_______________ upper bound -_______________ c. What is the probability that the oll gets a sample in which fewer than 47% say they do not get enough time for themselves.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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