interval for u. Illustrate the preceding relationship by obtaining the appropriate one-mean z-interval for the situations described in parts (a) and (b) below. Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. a. The average lactation (nursing) period of all earless seals is 23 days. For a sample of 15 female grey seals, the average lactation period is 20.8 days. It is assumed that the population standard deviation is 3.0 days. At the 5% significance level, the data provide sufficient evidence to conclude that the mean lactation period of grey seals differs from 23 days. The confidence interval is ( 19.28 , 22.32 ). (Round to two decimal places as needed.) Since the population mean is not in the confidence interval, this provides sufficient evidence to conclude that the average lactation period of grey seals differs from 23 days. This is the same conclusion reached by the hypothesis test. b. According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 15.2 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 16.3 months. It is assumed that the population standard deviation of the lengths of imprisonment for motor-vehicle-theft offenders in the city is 7.0 months. At the 5% significance level, the data do not provide sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle-theft offenders in the city differs from the national mean. The confidence interval is (O). (Round to two decimal places as needed.)
interval for u. Illustrate the preceding relationship by obtaining the appropriate one-mean z-interval for the situations described in parts (a) and (b) below. Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. a. The average lactation (nursing) period of all earless seals is 23 days. For a sample of 15 female grey seals, the average lactation period is 20.8 days. It is assumed that the population standard deviation is 3.0 days. At the 5% significance level, the data provide sufficient evidence to conclude that the mean lactation period of grey seals differs from 23 days. The confidence interval is ( 19.28 , 22.32 ). (Round to two decimal places as needed.) Since the population mean is not in the confidence interval, this provides sufficient evidence to conclude that the average lactation period of grey seals differs from 23 days. This is the same conclusion reached by the hypothesis test. b. According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 15.2 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a mean length of imprisonment of 16.3 months. It is assumed that the population standard deviation of the lengths of imprisonment for motor-vehicle-theft offenders in the city is 7.0 months. At the 5% significance level, the data do not provide sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle-theft offenders in the city differs from the national mean. The confidence interval is (O). (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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16) Solve for part B of the question in the image.
Do the same second part for B as well as it is done for Part A ( The population mean (is or is not in) the confidence level....)
Transcribed Image Text:For a two-tailed hypothesis test at the significance level a, the null hypothesis Ho: µ = µo will be rejected in favor of the alternative hypothesis H: µ# µo if and only if µo lies outside the (1 - a)-level confidence
interval for u. Illustrate the preceding relationship by obtaining the appropriate one-mean z-interval for the situations described in parts (a) and (b) below.
Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve.
.....
a. The average lactation (nursing) period of all earless seals is 23 days. For a sample of 15 female grey seals, the average lactation period is 20.8 days. It is assumed that the population standard deviation is 3.0
days. At the 5% significance level, the data provide sufficient evidence to conclude that the mean lactation period of grey seals differs from 23 days.
The confidence interval is ( 19.28 , 22.32 ).
(Round to two decimal places as needed.)
Since the population mean is not in the confidence interval, this
provides
sufficient evidence to conclude that the average lactation period of grey seals differs from 23 days. This
is
the same
conclusion reached by the hypothesis test.
b. According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a nation is 15.2 months. One hundred randomly selected motor-vehicle-theft offenders in a city in the nation had a
mean length of imprisonment of 16.3 months. It is assumed that the population standard deviation of the lengths of imprisonment for motor-vehicle-theft offenders in the city is 7.0 months. At the 5% significance
level, the data do not provide sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle-theft offenders in the city differs from the national mean.
The confidence interval is ( , ).
(Round to two decimal places as needed.)
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