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BIOSTATISTICS (MTH-1210C), Spring 2022, P. Levin at oneFinal Exam - Give explanations/ Show your work in handwriting. 1 . Which of the following statements is true with respect to a point estimate? a. It is no subject to sampling error and is a true value of the population parameter; b. It is a subject to sampling error and a true value of the population parameter; c. It is a subject to sampling error and one of the upper and lower boundaries of the interval estimate; d. It is a subject to sampling error and an estimate of the single value of the population parameter; e. Both it is a subject to sampling error and it's a population parameter. 2. When constructing a confidence interval for a population mean, a sample of 30 observations was taken. The obtained interval was 17.25+3.42. If the sample size is 90 instead of 30, what will the confidence interval be? 3. A 95% confidence interval for the population proportion is found to be between 5 and .55. Given this information, what was approximately the sample size that was used? 4 . A dieter believes that the average number of calories in a homemade peanut butter cookie is more than in a store-bought peanut butter cookie. The summary data are: 72 = 40. X, = 180, s = 2, n, = 45, x, = 179, and s; = 4 Estimate the difference in the mean calories between the two types of cookies using a 97% confidence interval (round your answer to two decimal places)