A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Connecticut and California. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of Connecticut is greater than the mean annual income of childcare workers in California. To see if this is true, the firm selected a random sample of 15 childcare workers from Connecticut and an independent random sample of 15 childcare workers from California and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars Connecticut 39417, 52742, 58027, 58694, 49302, 46122, 55098, 46627, 57971, 56906, 48625, 48571,61686, 52726, 52153 California 51706, 44375, 55696, 42131, 39611, 45157, 53631, 39941, 56657, 46215, 50866, 40135, 39482, 41559, 49016 Send data to calculator Send data to Excel The population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100, respectively. It is also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to support the claim that the mean annual income, u, of childcare workers in Connecticut is greater than the mean annual income, l, of childcare workers in California? 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

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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 Connecticut is greater than the mean annual income of childcare workers in California?
Yes No

A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Connecticut and California. Due to recent trends in the childcare
industry, the firm suspects that the that the mean annual income of childcare workers in the state of Connecticut is greater than the mean annual income of
childcare workers in California. To see if this is true, the firm selected a random sample of 15 childcare workers from Connecticut and an independent random
sample of 15 childcare workers from California and asked them to report their mean annual income. The data obtained were as follows.
Annual income in dollars
Connecticut 39417, 52742, 58027, 58694, 49302, 46122, 55098, 46627, 57971, 56906, 48625, 48571, 61686, 52726, 52153
California 51706, 44375, 55696, 42131, 39611, 45157, 53631, 39941, 56657, 46215, 50866, 40135, 39482, 41559, 49016
Send data to calculator
Send data to Excel
The population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100, respectively. It
is also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to support the claim
that the mean annual income, u, of childcare workers in Connecticut is greater than the mean annual income, l, of childcare workers in California? 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.)

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