You would like to construct a 99% confidence interval to estimate the population mean PCB (Polychlorinated biphenyl) level in white croaker fish from the San Francisco Bay. The random sample we select has a mean of 622 parts per million and a standard deviation of 50 parts per million. (a) What is the best point estimate, based on the sample, to use for the population mean? ☐ parts per million (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 t refers to a t distribution.) Sampling scenario The sample has size 18, and it is from a normally distributed population with an unknown standard deviation. The sample has size 95, and it is from a non- normally distributed population with a known standard deviation of 52. The sample has size 12, and it is from a population with a distribution about which we know very little. Could use Z Unclear either Z or t O O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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You would like to construct a 99% confidence interval to estimate the population mean PCB (Polychlorinated biphenyl) level in white croaker fish
from the San Francisco Bay. The random sample we select has a mean of 622 parts per million and a standard deviation of 50 parts per million.
(a) What is the best point estimate, based on the sample, to use for the population mean?
☐ parts per million
(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 t refers to a t distribution.)
Sampling scenario
The sample has size 18, and it is from a normally
distributed population with an unknown standard
deviation.
The sample has size 95, and it is from a non-
normally distributed population with a known
standard deviation of 52.
The sample has size 12, and it is from a population
with a distribution about which we know very little.
Could use
Z
Unclear
either Z or t
O
O
Transcribed Image Text:You would like to construct a 99% confidence interval to estimate the population mean PCB (Polychlorinated biphenyl) level in white croaker fish from the San Francisco Bay. The random sample we select has a mean of 622 parts per million and a standard deviation of 50 parts per million. (a) What is the best point estimate, based on the sample, to use for the population mean? ☐ parts per million (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 t refers to a t distribution.) Sampling scenario The sample has size 18, and it is from a normally distributed population with an unknown standard deviation. The sample has size 95, and it is from a non- normally distributed population with a known standard deviation of 52. The sample has size 12, and it is from a population with a distribution about which we know very little. Could use Z Unclear either Z or t O O
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