To reduce the probability of a Type II error for a hypothesis test about a population mean, the best approach is to______.

A company has recorded data on the weekly sales for its product (y) and the unit price of the competitor’s product (x). The data resulting from a random sample of seven weeks follows. Use Excel’s Regression tool to construct a residual plot and use it to determine if any model assumptions may have been violated. WeekPriceSales 10.3320 20.2514 30.4422 40.4021 50.3516 60.3919 70.2915​

Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Use Excel to:a.Compute a 95% confidence interval for E(y) when x = 5.b.Compute a 95% prediction interval for y when x = 5.     xy  212  39  68  77  86  75  92 ​

A researcher is interested in determining the average number of years employees of a company stay with the company. If past information shows a standard deviation of 7 months, what size sample should be selected so that at 95% confidence the margin of error will be 2 months or less?

Coyote Cable has been experiencing an increase in cable service subscribers in recent months due to increased advertising and an influx of new residents to the region. The number of subscribers (in 1000s) for the last 16 months is as follows:Month SalesMonth SalesMonthSales1 12.87  20.61223.8214.6818.51325.1315.2919.91424.7416.11023.61526.5515.81124.21628.9617.2   ​Using simple linear regression, forecast the number of subscribers for months 17, 18, 19, and 20.​

A company has recorded data on the daily demand for its product (y in thousands of units) and the unit price (x in hundreds of dollars). A sample of 11 days’ demand and associated price resulted in the following data: ∑ x = 154∑ x 2 = 2,586∑ y = 451∑ y 2 = 18,901∑ xy = 5,930​a.Using the above information, develop the least-squares estimated regression line.b.Would the demand ever reach zero? If yes, at what price would the demand be zero? Show your complete work.​

The proportion of Americans who support the death penalty is 0.53. A sample of 1000 randomly selected Americans is surveyed by telephone interview. Use Excel to answer the following questions:a.What is the probability that the sample proportion of those supporting the death penalty will be less than 0.50? b.What is the probability that the sample proportion of those supporting the death penalty will be at least 0.55? c.What is the probability that the sample proportion of those supporting the death penalty will be between 0.50 and 0.55? d.For samples of size 1000, 15% of all sample proportions are at most what value?​​

Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3.a.What is the probability that you will receive a Merit scholarship?b.Are events A and M mutually exclusive? Why or why not? Explain.c.Are the two events, A and M, independent? Explain, using probabilities.d.What is the probability of receiving the Athletic scholarship given that you have been awarded the Merit scholarship?e.What is the probability of receiving the Merit scholarship given that you have been awarded the Athletic scholarship?​​

A random sample of 100 credit sales in a department store showed an average sale of $120.00. From past data, it is known that the standard deviation of the population is $40.00.a.Determine the standard error of the mean.b.With a 0.95 probability, determine the margin of error.c.What is the 95% confidence interval of the population mean?​

In a random sample of 500 college students, 23% say that they read or watch the news every day. Develop a 90% confidence interval for the population proportion. Interpret your results.