For a two-tailed hypothesis test at the significance level a, the null hypothesis Ho: H= Ho will be rejected in favor of the alternative hypothesis Ha: µ# Ho if and only if Ho 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 (. ). (Round to two decimal places as needed.)

For a two-tailed hypothesis test at the significance level a, the null hypothesis Ho: H= Ho will be rejected in favor of the alternative hypothesis Ha: µ# Ho if and only if Ho 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 (. ). (Round to two decimal places as needed.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...

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Question

17) solve for the question both parts

Since the population mean
in the confidence interval, this
sufficient evidence to conclude that the average lactation period of grey seals differs from 23 days. This
the same conclusion reached by the hypothesis test.

For a two-tailed hypothesis test at the significance level a, the null hypothesis Ho: µ= Ho will be rejected in favor of the alternative hypothesis Ha: µ# Ho if and only if Ho lies outside the
(1 – a)-level confidence interval for µ. 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
(Round to two decimal places as needed.)

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