A random sample of 16 chemists from Washington state shows an average salary of $41431 with a standard deviation of $892. A random sample of 18 chemists from Florida state shows an average salary of $40802 with a standard deviation of $820. A chemist that has worked in both states believes that chemists in Washington make more than chemists in Florida. At a=0.01 is this chemist correct? Let Washington be sample 1 and Florida be sample 2. The correct hypotheses are: Ο Ho: μι < με Ηχ: μι > μ2(claim) Ο Ηo: με 2 με HA: H1 H₂(claim) Ho: ₁ = ₂ HA: 1₂(claim) Since the level of significance is 0.01 the critical value is 2.454 The test statistic is: The p-value is: The decision can be made to: O reject Ho do not reject Ho (round to 3 places) (round to 3 places) The final conclusion is that: There is enough evidence to reject the claim that chemists in Washington make more than chemists in Florida. There is not enough evidence to reject the claim that chemists in Washington make more than chemists in Florida. There is enough evidence to support the claim that chemists in Washington make more than chemists in Florida. There is not enough evidence to support the claim that chemists in Washington make more than chemists in Florida.

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A random sample of 16 chemists from Washington state shows an average salary of $41431 with a standard
deviation of $892. A random sample of 18 chemists from Florida state shows an average salary of $40802
with a standard deviation of $820. A chemist that has worked in both states believes that chemists in
Washington make more than chemists in Florida. At a=0.01 is this chemist correct? Let Washington be
sample 1 and Florida be sample 2.
The correct hypotheses are:
Ο Ho: μι < με
HA: 12(claim)
Ο Ηo: με 2 με
HA: 1₂(claim)
Ho: ₁ = ₂
HA: 1₂(claim)
Since the level of significance is 0.01 the critical value is 2.454
The test statistic is:
The p-value is:
The decision can be made to:
O reject Ho
O do not reject Ho
(round to 3 places)
(round to 3 places)
The final conclusion is that:
There is enough evidence to reject the claim that chemists in Washington make more than chemists
in Florida.
There is not enough evidence to reject the claim that chemists in Washington make more than
chemists in Florida.
There is enough evidence to support the claim that chemists in Washington make more than chemists
in Florida.
There is not enough evidence to support the claim that chemists in Washington make more than
chemists in Florida.
Transcribed Image Text:A random sample of 16 chemists from Washington state shows an average salary of $41431 with a standard deviation of $892. A random sample of 18 chemists from Florida state shows an average salary of $40802 with a standard deviation of $820. A chemist that has worked in both states believes that chemists in Washington make more than chemists in Florida. At a=0.01 is this chemist correct? Let Washington be sample 1 and Florida be sample 2. The correct hypotheses are: Ο Ho: μι < με HA: 12(claim) Ο Ηo: με 2 με HA: 1₂(claim) Ho: ₁ = ₂ HA: 1₂(claim) Since the level of significance is 0.01 the critical value is 2.454 The test statistic is: The p-value is: The decision can be made to: O reject Ho O do not reject Ho (round to 3 places) (round to 3 places) The final conclusion is that: There is enough evidence to reject the claim that chemists in Washington make more than chemists in Florida. There is not enough evidence to reject the claim that chemists in Washington make more than chemists in Florida. There is enough evidence to support the claim that chemists in Washington make more than chemists in Florida. There is not enough evidence to support the claim that chemists in Washington make more than chemists in Florida.
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