At a carpet store, the mean sale amount is $1250 per customer. It is believed that the mean sales amount increases during promotion. A random sample of 45 carpet purchases during a promotion was selected, sample mean sales amount is = 1315. Assume o = $155. Implement hypothesis test to check if mean sales amount increases during promotion, and let a = 0.01. Require to solve by both P-value method and reject region method.
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- A company makes high-definition televisions and does not like to have defective pixels. Historically,the mean number of defective pixels in a TV is 20. An engineer is hired to make better TV’s that havefewer defective pixels. After his first week of work he claims that he can significantly improve the currentmethod. To check his claim you try his new method on 100 new televisions. The average number ofdefective pixels in those 100 TV’s is 19.1. Assume that the new method doesn’t change the standarddeviation of defective pixels, which has always been 4.(a) Test if the new method is significantly better than the old one at the α = 0.05 level.(b) Using the new method, assume that the mean number of defective pixels is actually 19. What is thechance that your test from part 1 will conclude that the new method is statistically more effective?According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 30 kilometers. The park recently closed its shuttle system, which used to transport hikers to many of the park's most popular hiking trails. Because of this, an administrator at the park suspects the mean distance, µ, is now less than 30 kilometers. The administrator chooses a random sample of 45 visitors. The mean distance hiked for the sample is 29.5 kilometers. Assume the population standard deviation is 9.9 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 30 kilometers? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. O[ D=0 H: µ < 30 ? (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 1 – x • The p-value is the area under the curve to…We can be 99% confident that the true population mean MHI score for Democrats is between (lower limit) to (upper limit). Imagine that a public health organization would like to deploy a support program to populations where at least 50% of the population experiences life conditions that are at least moderately stressful (defined as a mean MHI score of 7 or higher). Should this program be deployed to Democrats?
- According to a Yankelovich poll, women spend an average of 19.1 hours shopping during the month of December, compared to 12.7 hours for men. Assuming that file XR11027.xls contains the survey data underlying these results, use the 0.01 level in examining whether the sample mean for women is significantly higher than tha tfor men. Identify and interpret the p-value for the test. (you can see file Xr11027.xls from photo)A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 132 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 124 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, complete the parts below. A. H0: H1: B. Suppose that the researcher decides to reject the null hypothesis. Would the research be making a type I or type II error?Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 42 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,056 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,056 lb42=168 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 178.3 lb and a standard deviation of 36.8.
- A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lb and a standard deviation of 29 lb, and men working for the company have weights that are normally distributed with a mean of 178 lb and a standard deviation or 32 lb. You need to design an elevator that will safely carry 18 people. Assuming a worst case scenario of 18 male passengers, find the maximum total allowable weight if we want a 0.995 probability that this maximum will not be exceeded when 18 males are randomly selected.maximum weight = -lb Round to the nearest pound.Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.956 g and a standard deviation of 0.302 g. The company that produces these cigarettes claims that it has now reduced the amount of…Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 43 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,009 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,009 lb / 43 =163 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 182.4 lb and a standard deviation of 38.4.A manufacturer of phone batteries determines that the average length of talk time for one of its batteries is 470 minutes. Suppose that the standard deviation is known to be 32 minutes and that the data are approximately bell-shaped. Estimate the percentage of batteries whose talk time is between 406 minutes and 534 minutes. Estimate the percentage of batteries whose talk time is less than 438 minutes. Estimate the percentage of batteries whose talk time is more than 534 minutes. answer in excel
- undergraduate students taking a concepts and methods course at the university conducted a survey about GPA and major. There were 197 total students and 3 groups of majors that were randomly sampled. The mean square within groups was 0.081 and the mean square between groups was 0.015. What F-statistic output is correct for this problem?A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 132 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 124 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, complete the parts below. Suppose the true mean systolic blood pressure of CEOs of major corporations is 132 mm Hg. Fill in the four blanks to describe a Type I error. 1. A Type I error would be (rejecting) or (failing to reject) the hypothesis 2. that μ is (less than) (less than or = to) (greater than) (greater than or = to) (not = to) or (= to) 3. the number (124) (132) or (20)…
