Calculus these question
Use the information about each of the following samples to compute the confidence interval to estimate p. a. n = 46 and p = 0.48; compute a 90% confidence interval. b. n = 298 and p = 0.83; compute a 95% confidence interval. c. n = 1,140 and p = 0.58; compute a 90% confidence interval. d. n = 96 and p = 0.36; compute a 88% confidence interval. App (Round your answers to 3 decimal places, e.g. 0.253.) a. Sps b. Sps C. Sps d. SpsIf a random sample of 41 items produces x = 128.4 and s = 24.6, what is the 98% confidence interval for ? Assume x is normally distributed for the population. What is the point estimate? Appendix A Statistical Ta (Round your answer to 1 decimal place, e.g. 25.3.) SUS The point estimate isA small lawnmower company produced 1,500 lawnmowers in 2008. In an effort to determine how maintenance-free these units were, the company decided to conduct a multiyear study of the 2008 lawnmowers. A sample of 200 owners of these lawnmowers was drawn randomly from company records and contacted. The owners were given an 800 number and asked to call the company when the first major repair was required for the lawnmowers. Owners who no longer used the lawnmower to cut their grass were disqualified. After many years, 181 of the owners had reported. The other 19 disqualified themselves. The average number of years until the first major repair was 5.3 for the 181 owners reporting. It is believed that the population standard deviation was 2.60 years. If the company wants to advertise an average number of years of repair-free lawn mowing for this lawnmower, what is the point estimate? Construct a 95% confidence interval for the average number of years until the first major repair. Appendix A Statistical Tables (Round point estimate to 1 decimal place, e.g. 25.3 and confidence interval answers to 2 decimal places, e.g. 25.31.) The point estimate is SUS