A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Arizona and Nevada. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Arizona is less than the mean annual income of childcare workers in Nevada. To see if this is true, the firm selected a random sample of 10 childcare workers from Arizona and an independent random sample of 10 childcare workers from Nevada and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars Arizona 35597, 44349, 30210, 47473, 36689, 41493, 30410, 29736, 31880, 39582 Nevada 32082, 46198, 42198, 31466, 44105, 37025, 40391, 37193, 54640, 38686 Send data to calculator Send data to Excel The population standard deviation for the annual incomes of childcare workers in Arizona and in Nevada are estimated as 6300 and 6500, respectively. It is also known that both populations are approximately normally distributed. At the 0.05 level of significance, is there sufficient evidence to support the claim that the mean annual income, u,, of childcare workers in Arizona is less than the mean annual income, l,, of childcare workers in Nevada? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

See similar textbooks

Related questions

Question

(a)	State the null hypothesis H0 and the alternative hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the p-value. (Round to three or more decimal places.)

(e)	Can we support the claim that the mean annual income of childcare workers in Arizona is less than the mean annual income of childcare workers in Nevada?
Yes No

A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Arizona and Nevada. Due to recent trends in the childcare
industry, the firm suspects that the mean annual income of childcare workers in Arizona is less than the mean annual income of childcare workers in Nevada. To
see if this is true, the firm selected a random sample of 10 childcare workers from Arizona and an independent random sample of 10 childcare workers from
Nevada and asked them to report their mean annual income. The data obtained were as follows.
Annual income in dollars
Arizona 35597, 44349, 30210, 47473, 36689, 41493, 30410, 29736, 31880, 39582
Nevada 32082, 46198, 42198, 31466, 44105, 37025, 40391, 37193, 54640, 38686
Send data to calculator
Send data to Excel
The population standard deviation for the annual incomes of childcare workers in Arizona and in Nevada are estimated as 6300 and 6500, respectively. It is also
known that both populations are approximately normally distributed. At the 0.05 level of significance, is there sufficient evidence to support the claim that the
mean annual income, u,, of childcare workers in Arizona is less than the mean annual income, u, of childcare workers in Nevada? Perform a one-tailed test.
Then complete the parts below.
Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Statistical Power and Errors$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill