(a) State the null hypothesis H and the alternative hypothesis H₁. Ho :O H₁:0 (b) Determine the type of test statistic to use. Chi-Square Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value (Bound to ro decimal places

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A nationwide job recruiting firm wants to compare the annual incomes for
childcare workers in New York and Rhode Island. 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 New York is greater than the
mean annual income of childcare workers in Rhode Island. To see if this is
true, the firm selected a random sample of 10 childcare workers from New
York and an independent random sample of 10 childcare workers from
Rhode Island and asked them to report their mean annual income. The data
obtained were as follows.
Annual income in dollars
New York 52865, 45781, 48933, 44123, 52450, 54008, 46219, 44862, 54254, 39329
Rhode Island 52347, 47038, 49732, 47329, 34151, 51204, 39798, 47921, 44854, 39128
Send data to calculator
Send data to Excel
The population standard deviations for the annual incomes of childcare
workers in New York and in Rhode Island are estimated as 6400 and 6600,
respectively. It is also known that both populations are approximately
normally distributed. At the 0.10 level of significance, is there sufficient
evidence to support the claim that the mean annual income, ₁, of childcare
workers in New York is greater than the mean annual income, ₂,
of
childcare workers in Rhode Island? 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.)
(a) State the null hypothesis H and the alternative hypothesis H₁.
HO
H₁ : 0
(b) Determine the type of test statistic to use.
Chi-Square
Degrees of freedom:
(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.)
0
(e) Can we support the claim that the mean annual income of childcare workers
in New York is greater than the mean annual income of childcare workers in
Rhode Island?
OYes No
H
XI
00
O
X
S
0=0 OSO
00
O<O
Р
<Q
olo
ロマロ
>O
O
E
Transcribed Image Text:A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in New York and Rhode Island. 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 New York is greater than the mean annual income of childcare workers in Rhode Island. To see if this is true, the firm selected a random sample of 10 childcare workers from New York and an independent random sample of 10 childcare workers from Rhode Island and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars New York 52865, 45781, 48933, 44123, 52450, 54008, 46219, 44862, 54254, 39329 Rhode Island 52347, 47038, 49732, 47329, 34151, 51204, 39798, 47921, 44854, 39128 Send data to calculator Send data to Excel The population standard deviations for the annual incomes of childcare workers in New York and in Rhode Island are estimated as 6400 and 6600, respectively. It is also known that both populations are approximately normally distributed. At the 0.10 level of significance, is there sufficient evidence to support the claim that the mean annual income, ₁, of childcare workers in New York is greater than the mean annual income, ₂, of childcare workers in Rhode Island? 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.) (a) State the null hypothesis H and the alternative hypothesis H₁. HO H₁ : 0 (b) Determine the type of test statistic to use. Chi-Square Degrees of freedom: (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.) 0 (e) Can we support the claim that the mean annual income of childcare workers in New York is greater than the mean annual income of childcare workers in Rhode Island? OYes No H XI 00 O X S 0=0 OSO 00 O<O Р <Q olo ロマロ >O O E
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