A random sample of 25 chemists from Washington state shows an average salary deviation of $942. A random sample of 18 chemists from Florida state shows an with a standard deviation of $561. A chemist that has worked in both states beli Washington make less than chemists in Florida. At a=0.05 is this chemist correct 1 and Florida be sample 2. The correct hypotheses are: O Ho: 1 ≤2 HA: μι > μ2(claim) Ο Ho: μι 2 με HA: 12(claim) O Ho: ₁ = ₂ HA: 12(claim) Since the level of significance is 0.05 the critical value is -1.684

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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A random sample of 25 chemists from Washington state shows an average salary of $48123 with a standard
deviation of $942. A random sample of 18 chemists from Florida state shows an average salary of $49603
with a standard deviation of $561. A chemist that has worked in both states believes that chemists in
Washington make less than chemists in Florida. At a=0.05 is this chemist correct? Let Washington be sample
1 and Florida be sample 2.
The correct hypotheses are:
Ο Η: μι < με
HA: μι > μ2(claim)
© Ho: μι 2 μ2
HA: M1 M₂(claim)
O Ho: ₁ = ₂
HA: 12(claim)
Since the level of significance is 0.05 the critical value is -1.684
(round to 3 places)
The test statistic is:
The p-value is:
(round to 3 places)
Transcribed Image Text:A random sample of 25 chemists from Washington state shows an average salary of $48123 with a standard deviation of $942. A random sample of 18 chemists from Florida state shows an average salary of $49603 with a standard deviation of $561. A chemist that has worked in both states believes that chemists in Washington make less than chemists in Florida. At a=0.05 is this chemist correct? Let Washington be sample 1 and Florida be sample 2. The correct hypotheses are: Ο Η: μι < με HA: μι > μ2(claim) © Ho: μι 2 μ2 HA: M1 M₂(claim) O Ho: ₁ = ₂ HA: 12(claim) Since the level of significance is 0.05 the critical value is -1.684 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)
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