nly need question 4 and 5 answered*     A hospital president claims that the average salary of registered nurses at her hospital is more than $57,000. You test this claim by surveying 37 registered nurses at this hospital and find they have a mean salary of $57,425. Assume the population standard deviation is $1,750. At the 0.10 level of significance, is there enough evidence to SUPPORT the claim of the hospital president? 1.) Is this a hypothesis test for mean or proportion? If it's a test for mean, do we know the population standard deviation? It is the hypothesis test for mean. Since, the population mean is given. It is a mean hypothesis test but the standard deviation is unknown. 2.) Based on your answer in #1, which calculator will you use: A.) Mean - σ Known,   B.) Mean - σ Unknown   or   C.) Proportions                                             B 3.) Will we use a Z-test or t-test? How do you know? since, population mean is known with unknown standard deviation of sample size greater than 30. We use z test. 4.) What is the direction of the tail? Left, right or two? 5.) Complete the Hypothesis statement below with the arrows in the correct direction. Mark an X next to the claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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A hospital president claims that the average salary of registered nurses at her hospital is more than $57,000. You test this claim by surveying 37 registered nurses at this hospital and find they have a mean salary of $57,425. Assume the population standard deviation is $1,750. At the 0.10 level of significance, is there enough evidence to SUPPORT the claim of the hospital president?

1.) Is this a hypothesis test for mean or proportion? If it's a test for mean, do we know the population standard deviation?

It is the hypothesis test for mean.

Since, the population mean is given.

It is a mean hypothesis test but the standard deviation is unknown.

2.) Based on your answer in #1, which calculator will you use:

A.) Mean - σ Known,   B.) Mean - σ Unknown   or   C.) Proportions

                                            B

3.) Will we use a Z-test or t-test? How do you know?

since, population mean is known with unknown standard deviation of sample size greater than 30. We use z test.

4.) What is the direction of the tail? Left, right or two?

5.) Complete the Hypothesis statement below with the arrows in the correct direction. Mark an X next to the claim.

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