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 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blood pressure, μ, of CEOs of major corporations is different from 132 mm Hg, which is the value reported in a possibly outdated journal article.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.C, D, G
- Levi-Strauss Co manufactures clothing. The quality control department measures weekly values of different suppliers for the percentage difference of waste between the layout on the computer and the actual waste when the clothing is made (called run-up). The data is in the table, and there are some negative values because sometimes the supplier is able to layout the pattern better than the computer. Do the data show that there is a difference between some of the suppliers? Test at the 1% level. Run-ups for Different Plants Making Levi Strauss Clothing Difference Plant Plant 1 11.9 Plant 1 3.9 -10.6 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 1 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 2 Plant 3 Plant 3 Plant 3 Plant 3 Plant 3 Plant 3 Plant 3…What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that ? is known to be $1.92 per 100 pounds.Nabisco claims that Chip Ahoy Cookies have an x ̅=28.67 chocolate chips per cookie with a SD=2.67. You randomly select 36 cookies from a new bag and carefully remove all the chocolate chips from each of the 36 cookies. You find the mean of the chocolate chips for the 36 cookies is 24.27 chocolate chips per cookie. Calculate the standard error for the chocolate chips in your experiment. (round to the nearest hundredth).
- Each year, marketing and information firm J.D. Power and Associates surveys new car owners 90 days after they have purchased their cars. The data collected are used to rate auto brands (Toyota, Ford, and others) on initial quality and initial customer satisfaction. USA Today reported both the number of manufacturing defects per 100 vehicles and a satisfaction score for all 33 brands sold in the United States.+ A research group decides to compare the mean number of defects for 2 specific models of cars, A and B, made this year by taking random samples of 100 cars of each model. USE SALT (a) After collecting the data, the research group calculates a 95% confidence interval to estimate the difference in population means. In this case, what is the population? O the defects O all cars made this year all cars for models A and B that were produced this year O the 100 cars from each model (b) Suppose the calculated confidence interval is (100, 104) number of defects. What is the value of the…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)…Researcher wanted to determine if carpeted rooms containe more bacteria than uncarpted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. A normal probality plot and boxplot indicate that the data are aproximately normally distributed with no outliers. Do carpted rooms have more bacteria than uncarpted roomz at the a= 0.05 level of signicance? carpeted rooms (bacteria/cubic foot) 11.8, 8.2, 7.1, 13, 10.8, 10.1 14.6, 14 uncarpted room( bacteria/cubic foot) 12.1, 8.3, 3.8, 7.2, 12, 11.1 10.1 13.7 a) Is this independent or dependent sampling? b) State the null and alternative hypotheses c) P-value: d) state your conclusion in the langauage of the problem.
- 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 the total passenger load of 6,972lb. The pilot sees that the plane is full and all the passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,972lb/42=166lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that the weights of men are normally distributed with a mean of 176.9lb and a standard deviation of 37.7. THE probability is approximately. ? Round to four decimal places.The post-aesthesia care area (recovery room) at Centre Hospital was recently enlarged. The hope was that with the enlargement the mean number of patients per day would be more than 25. A random sample of 15 days revealed the following number of patients X
