how do i answer these

If X =75, o = 10, and n = 65, construct a 95% confidence interval estimate of the population mean, J. SUS (Round to two decimal places as needed.)A bottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.03 gallon. A random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.961 gallon. Complete parts (a) through (d). a. Construct a 99% confidence interval estimate for the population mean amount of water included in a 1-gallon bottle. Sus (Round to five decimal places as needed.)If )_( = 82, S = 17, and n = 36, and assuming that the population is normally distributed, construct a 99% condence interval estimate of the population mean, u. Click here to view p_age 1 of the table of critical values for the t distribution. Click here to View page 2 of the table of critical values for the t distribution. [ISPSE] (Round to two decimal places as needed.) Assuming that the population is normally distributed, construct a 90% confidence interval for the population mean for each of the samples below. Explain why these two samples produce different confidence intervals even though they have the same mean and range. Sample A: 1 3 4 4 5 5 6 8 Full data set Sample B: 1 2 3 4 5 6 7 8 Construct a 90% confidence interval for the population mean for sample A. Sus (Type integers or decimals rounded to two decimal places as needed.)A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 50 nonprofits, the mean one-time gift donation in the past year was $35, with a standard deviation of $7. Complete parts a and b below. a. Construct a 95% confidence interval estimate for the population one-time gift donation. SUS (Type integers or decimals rounded to two decimal places as needed.)The table below contains the amount that a sample of nine customers spent for lunch ($) at a fast-food restaurant. Complete parts a and b below. 4.62 5.26 5.83 6.75 7.21 7.66 8.38 8.49 9.52 a. Construct a 95% confidence interval estimate for the population mean amount spent for lunch at a fast-food restaurant, assuming a normal distribution. The % confidence interval estimate is from $ to $ (Round to two decimal places as needed.)If n = 100 and X = 30, construct a 99% confidence interval estimate of the population proportion. SITS (Round to four decimal places as needed.)In a survey of 3,989 travelers, 1,478 said that location was very important for choosing a hotel and 1,208 said that reputation was very important in choosing an airline. Complete parts (a) through (c) below. a. Construct a 95% condence interval estimate for the population proportion of travelers who said that location was very important for choosing a hotel. |:| Sat S D (Round to four decimal places as needed.) Determine the upper-tail critical value to /2 in each of the following circumstances. a. 1 - a = 0.99, n = 20 d. 1 - a = 0.99, n = 61 b. 1 - a = 0.95, n = 20 e. 1 - a = 0.90, n = 46 c. 1 - a = 0.99, n = 37 a. t= (Round to four decimal places as needed.) b. t= (Round to four decimal places as needed.) c. t= (Round to four decimal places as needed.) d. t= (Round to four decimal places as needed.) e. t= (Round to four decimal places as needed.)