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
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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.
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)
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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