A random sample of 23 chemists from Washington state shows an average salary of $45553 with a standarddeviation of $877. A random sample of 19 chemists from Florida state shows an average salary of $44422with a standard deviation of $571. A chemist that has worked in both states believes that chemists inWashington make a different amount than chemists in Florida. At a=0.05 is this chemist correct? LetWashington be sample 1 and Florida be sample 2.The correct hypotheses are:O Ho: H1 < M2HA: H1 > µ2(claim)O Ho: H1 2 H2HA: H1 < µ2(claim)O Ho:µ1 = µ2HA: H1 + u2(claim)Since the level of significance is 0.05 the critical value is 2.024 and -2.024The test statistic is:(round to 3 places)The p-value is:(round to 3 places)The decision can be made to:O reject HoO do not reject HoThe final conclusion is that:O There is enough evidence to reject the claim that chemists in Washington make a different amountthan chemists in Florida.O There is not enough evidence to reject the claim that chemists in Washington make a differentamount than chemists in Florida.O There is enough evidence to support the claim that chemists in Washington make a different amountthan chemists in Florida.There is not enough evidence to support the claim that chemists in Washington make a differentamount than chemists in Florida.

Answered: A random sample of 23 chemists from…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of 23 chemists from Washington state shows an average salary of $45553 with a standard
deviation of $877. A random sample of 19 chemists from Florida state shows an average salary of $44422
with a standard deviation of $571. A chemist that has worked in both states believes that chemists in
Washington make a different amount 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:
O Ho: H1 < M2
HA: H1 > µ2(claim)
O Ho: H1 2 H2
HA: H1 < µ2(claim)
O Ho:µ1 = µ2
HA: H1 + u2(claim)
Since the level of significance is 0.05 the critical value is 2.024 and -2.024
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
The decision can be made to:
O reject Ho
O do not reject Ho
The final conclusion is that:
O There is enough evidence to reject the claim that chemists in Washington make a different amount
than chemists in Florida.
O There is not enough evidence to reject the claim that chemists in Washington make a different
amount than chemists in Florida.
O There is enough evidence to support the claim that chemists in Washington make a different amount
than chemists in Florida.
There is not enough evidence to support the claim that chemists in Washington make a different
amount than chemists in Florida.

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Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately.

In the given situation,

Claim: A chemist states that Washington make a different amount than chemists in Florida.

Null Hypothesis:

$H_{0} : μ_{1} = μ_{2}$

Alternative Hypothesis:

$H_{A} : μ_{1} \neq μ_{2}$

Given that

$n 1 = 23 \bar{x} 1 = 45553 s 1 = 877 n 2 = 19 \bar{x} 2 = 44422 s 2 = 571$

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