A random sample of 22 chemists from Washington state shows an average salary of $42044 with a standard deviation of $532. A random sample of 18 chemists from Florida state shows an average salary of $40890 with a standard deviation of $591. A chemist that has worked in both states believes that chemists in Washington make less 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: Ho: µ1 < M2 HA: µ1 > µ2(claim) Ho: µ1 2 M2 HA: P1 < µ2(claim) Ho: 41 HA: µ1 7 µ2(claim) Since the level of significance is 0.01 the critical value is -2.439 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: reject Ho • do not reject Ho The final conclusion is that: OThere is enough evidence to reject the claim that chemists in Washington make less than chemists in
A random sample of 22 chemists from Washington state shows an average salary of $42044 with a standard deviation of $532. A random sample of 18 chemists from Florida state shows an average salary of $40890 with a standard deviation of $591. A chemist that has worked in both states believes that chemists in Washington make less 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: Ho: µ1 < M2 HA: µ1 > µ2(claim) Ho: µ1 2 M2 HA: P1 < µ2(claim) Ho: 41 HA: µ1 7 µ2(claim) Since the level of significance is 0.01 the critical value is -2.439 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: reject Ho • do not reject Ho The final conclusion is that: OThere is enough evidence to reject the claim that chemists in Washington make less than chemists in
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Transcribed Image Text:A random sample of 22 chemists from Washington
state shows an average salary of $42044 with a
standard deviation of $532. A random sample of 18
chemists from Florida state shows an average salary of
$40890 with a standard deviation of $591. A chemist
that has worked in both states believes that chemists in
Washington make less 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:
Ho: µ1 < M2
HA: µ1 > µ2(claim)
Ho: µ1 2 M2
HA: P1 < µ2(claim)
Ho: 41
HA: µ1 7 µ2(claim)
Since the level of significance is 0.01 the critical value is -2.439
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
The decision can be made to:
reject Ho
• do not reject Ho
The final conclusion is that:
OThere is enough evidence to reject the claim that
chemists in Washington make less than chemists in
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