The following table shows the average hourly wage rates for day-care centers fron two locations based on two random samples. Use the table to complete parts a through c. Location 1 Location 2 Sample mean Sample standard deviation Sample size $9.63 $1.19 26 $8.68 $1.27 32 a. Perform a hypothesis test, using a = 0.01, to determine if the average hourly wage for day-care workers in Location 1 is $0.50 per hour higher than the average hourly wage for day-care workers in Location 2. Assume the population variances for wage rates each location are equal. Determine the null and alternative hypotheses for the test. Ho: H1 -2 s S0.50 H: H-2 > $0.50 Calculate the appropriate test statistic and interpret the result. The test statistic is. (Round to two decirmal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following table shows the average hourly wage rates for day-care centers from two locations based on two random samples. Use the table to complete parts a through c.
Location 1 Location 2
Sample mean
Sample standard deviation
Sample size
$9.63
$1.19
26
$8.68
$1.27
32
a. Perform a hypothesis test, using a= 0.01, to determine if the average hourly wage for day-care workers in Location 1 is $0.50 per hour higher than the average hourly wage for day-care workers
for wage rates
Location 2. Assume the population variances
each location are equal.
Determine the null and alternative hypotheses for the test.
Họ: H1 -H2 s S0.50
H: H1- H2 > $0.50
Calculate the appropriate test statistic and interpret the result.
The test statistic is.
(Round to two decimal places as needed.)
Transcribed Image Text:The following table shows the average hourly wage rates for day-care centers from two locations based on two random samples. Use the table to complete parts a through c. Location 1 Location 2 Sample mean Sample standard deviation Sample size $9.63 $1.19 26 $8.68 $1.27 32 a. Perform a hypothesis test, using a= 0.01, to determine if the average hourly wage for day-care workers in Location 1 is $0.50 per hour higher than the average hourly wage for day-care workers for wage rates Location 2. Assume the population variances each location are equal. Determine the null and alternative hypotheses for the test. Họ: H1 -H2 s S0.50 H: H1- H2 > $0.50 Calculate the appropriate test statistic and interpret the result. The test statistic is. (Round to two decimal places as needed.)
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