49. A recent consumer report gives the following information about the annual premiums, in dollars, for 16 renewable life insurance policies with similar benefits: 300 345 328 426 663 388 410 563 360 395 278 455 577 470 455 373 Let µ denote the true mean annual premium of all such insurance policies. a. If it is desired to find a confidence interval for µ, what function in your calculator is appropriate for this problem? 1nterval SamdL mlan b. Give a point estimate for µ. 4 4.1250 c. Find a 95% confidence interval for the true mean annual premiums for such life insurance policies. 95% Lonfidence in terval will be 1419.23,429.021 d. What is the margin of error of the confidence interval in part c? e. Interpret the meanings of the confidence interval in part c.

The number of heart surgeries performed at a hospital has increased over the past several years. The hospital’s administration is seeking the best method to forecast the demand for such surgeries in Year 6. The data for the past five years is shown. Year Demand 1 130 2 139 3 135 4 144 5 141 The hospital is considering the following forecasting methods. Compare the performance of these methods using the mean squared error (MSE). Begin error measurements in year 3 so all methods are compared for the same years. Exponential smoothing, with α = 0.5. let the initial forecast for year 1= 130, the same as the actual demand. Two-year simple moving average Two-year weighted moving average, using weights 0.7 and 0.3, with more recent data given more weight. Solve this problem on a separate paper. Then, use the results to complete the tables provided below, save the file and then submit it on E-learning.   1- Exponential smoothing: Year Forecast…

A random sample of 76 eighth-grade​ students' scores on a national mathematics assessment test has a mean score of 273. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 33. At α=0.02​, is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e). Part 1 ​(a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below.   A.) H0​: μ≥270 (claim)       Ha​: μ<270   B.) H0​: μ≤270 (claim)       Ha​: μ>270   C.) H0​: μ=270 (claim)       Ha​: μ>270   D.) H0​:μ≤270       Ha​: μ>270 ​(claim)   E.) H0​: μ<270       Ha​: μ≥270 ​(claim)   F.) H0​: μ=270      Ha​: μ>270 (claim)     (b) Find the standardized z, and its coresponding area      z=_____   (c) Find the P-value P-value =_____   (d) Decide whether to reject or fail the null…

1. Describe the key features of the normal curve and explain why the normal curve in real-life distributions nevermatches the model perfectly.