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.

Political Science, Inc. (PSI) specializes in voter polls and surveys designed to keep political office seekers informed of their position in a race. Using telephone surveys, interviewers ask registered voters who they would vote for if the election were held that day. ​In a recent election campaign, PSI found that 220 registered voters, out of 500 contacted, favored a particular candidate. ​a. Develop a 95% confidence interval estimate for the proportion of the population of registered voters that favors the candidate. Interpret the interval.b. Suppose that PSI would like 99% confidence that the sample proportion is within ± 0.03 of the population proportion. What sample size is needed to provide the desired margin of error?

A sample of 25 patients in a doctor’s office showed that they had to wait an average of 35 minutes with a standard deviation of 10 minutes before they could see the doctor. Provide a 98% confidence interval estimate for the average waiting time of all the patients who visit this doctor. Assume the population of waiting times is normally distributed.

Which of the following is NOT a part of standard precautions in a laboratory setting?

Delicious Candy markets a two-pound box of assorted chocolates. Because of imperfections in the candy making equipment, the actual weight of the chocolate has a uniform distribution ranging from 31.8 to 32.6 ounces.a. Define a probability density function for the weight of the box of chocolate.b. What is the probability that a box weighs (1) exactly 32 ounces; (2) more than 32.3 ounces; (3) less than 31.8 ounces?c. The government requires that at least 60% of all products sold weigh at least as much as the stated weight. Is Delicious violating government regulations?