A random sample of 21 chemists from Washington state shows an average salary of $43206 with a standard deviation of $916. A random sample of 20 chemists from Florida state shows an average salary of $43138 with a standard deviation of $716. A chemist that has worked in both states believes that chemists in Washington make a different amount than chemists in Florida. At a=0.10 is this chemist correct? Let Washington be sample 1 and Florida be sample 2. The correct hypotheses are:
A random sample of 21 chemists from Washington state shows an average salary of $43206 with a standard deviation of $916. A random sample of 20 chemists from Florida state shows an average salary of $43138 with a standard deviation of $716. A chemist that has worked in both states believes that chemists in Washington make a different amount than chemists in Florida. At a=0.10 is this chemist correct? Let Washington be sample 1 and Florida be sample 2. The correct hypotheses are:
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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Transcribed Image Text:The decision can be made to:
- ○ reject \( H_0 \)
- ○ do not reject \( H_0 \)
The final conclusion is that:
- ○ There is enough evidence to reject the claim that chemists in Washington make a different amount than chemists in Florida.
- ○ There is not enough evidence to reject the claim that chemists in Washington make a different amount than chemists in Florida.
- ○ 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.
![A random sample of 21 chemists from Washington state shows an average salary of $43,206 with a standard deviation of $916. A random sample of 20 chemists from Florida state shows an average salary of $43,138 with a standard deviation of $716. A chemist that has worked in both states believes that chemists in Washington make a different amount than chemists in Florida. At α=0.10 is this chemist correct? Let Washington be sample 1 and Florida be sample 2.
The correct hypotheses are:
- \( H_0: \mu_1 \leq \mu_2 \)
- \( H_A: \mu_1 > \mu_2 \) (claim)
- \( H_0: \mu_1 \geq \mu_2 \)
- \( H_A: \mu_1 < \mu_2 \) (claim)
- \( H_0: \mu_1 = \mu_2 \)
- \( H_A: \mu_1 \neq \mu_2 \) (claim)
Since the level of significance is 0.10, the critical value is 1.686 and -1.686.
The test statistic is: [__________] (round to 3 places)
The p-value is: [__________] (round to 3 places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd42174da-fc06-4bb4-b36e-d78b2115a5c8%2F1c4b019d-cd7f-4da9-92b3-b0ccbc49c1b1%2F7lnhe8_processed.png&w=3840&q=75)
Transcribed Image Text:A random sample of 21 chemists from Washington state shows an average salary of $43,206 with a standard deviation of $916. A random sample of 20 chemists from Florida state shows an average salary of $43,138 with a standard deviation of $716. A chemist that has worked in both states believes that chemists in Washington make a different amount than chemists in Florida. At α=0.10 is this chemist correct? Let Washington be sample 1 and Florida be sample 2.
The correct hypotheses are:
- \( H_0: \mu_1 \leq \mu_2 \)
- \( H_A: \mu_1 > \mu_2 \) (claim)
- \( H_0: \mu_1 \geq \mu_2 \)
- \( H_A: \mu_1 < \mu_2 \) (claim)
- \( H_0: \mu_1 = \mu_2 \)
- \( H_A: \mu_1 \neq \mu_2 \) (claim)
Since the level of significance is 0.10, the critical value is 1.686 and -1.686.
The test statistic is: [__________] (round to 3 places)
The p-value is: [__________] (round to 3 places)
Expert Solution

Step 1
Given Data :
For Sample 1
x̄1 = 43206.0
s1 = 916.0
n1 = 21
For Sample 2
x̄2 = 43138.0
s2 = 716.0
n2 = 20
Significance level, α= 0.1
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