You would like to construct a 95% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a random sample of such incomes and compute the mean of the sample as 40,346 dollars with a standard deviation of 7757 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? dollars G (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 95% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and refers to a t distribution.) Sampling scenario z t Could use either Z or / Unclear The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. о о The sample has size 17, and it is from a population with a distribution about which we know very little. O о The sample has size 110, and it is from a non-normally distributed population with a known standard deviation of 7501. о о O Explanation Check Q 0. A N 2 W S #3 X T H command 80 F3 $ 4 5 Experi ©2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility 2024-035.05PM tv NAC 2024-0.10.41PM EPIC 5 de % S E R T D C F > < 6 & 7 81 U 8 D-11 F8 A F10 9 0 P { F12 G H J K L ? B N M He command option

Suppose you take a random sample of n = 80 Douglas College students and ask each student their age. You find that the mean age of students in this sample is X = 22.0375 years and the sample standard deviation is s = 3.2014 years.  Fill in the blanks (rounding to four decimal places):  The 95% confidence interval for the mean age μ of all Douglas College students is from ______ years to ______ years.

A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 21.2 pounds and a standard deviation of 4.6 pounds.    Step 1 of 2 :   If a sampling distribution is created using samples of the amounts of weight lost by 85 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.

You would like to construct a 99% Confidence interval to estimate the population mean price of milk (per gallon) in your city. You select a random sample of prices from different stores. The sample has a mean of 3.74 dollars and a standard deviation of 0.25 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? Aa O dollars (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% confidence interval for the population mean. (In the table, z refers to a standard normal distribution, and i refers to a t distribution.) Could use Sampling scenario Unclear either Z or t ? The sample has size 105, and it is from a non-normally distributed population with a known standard deviation of 0.24. The sample has size 90, and it is from a non-normally distributed population. The sample has size 20, and it is from a normally distributed population with an unknown standard…