You wish to test the following claim (H) at a significance level of a = 0.002. Ho:μ = 82.1 Ha:μ < 82.1 You believe the population is normally distributed and you know the standard deviation is a = 6.7. You obtain a sample mean of M = 79.7 for a sample of size n = 52. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value= What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.002 \).

\[
H_0: \mu = 82.1
\]
\[
H_a: \mu < 82.1
\]

You believe the population is normally distributed and you know the standard deviation is \( \sigma = 6.7 \). You obtain a sample mean of \( M = 79.7 \) for a sample of size \( n = 52 \).

What is the critical value for this test? (Report answer accurate to three decimal places.)

Critical value = \_\_\_\_\_\_

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

Test statistic = \_\_\_\_\_\_

The test statistic is...
- [ ] in the critical region
- [ ] not in the critical region

This test statistic leads to a decision to...
- [ ] reject the null
- [ ] accept the null
- [ ] fail to reject the null
Transcribed Image Text:You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.002 \). \[ H_0: \mu = 82.1 \] \[ H_a: \mu < 82.1 \] You believe the population is normally distributed and you know the standard deviation is \( \sigma = 6.7 \). You obtain a sample mean of \( M = 79.7 \) for a sample of size \( n = 52 \). What is the critical value for this test? (Report answer accurate to three decimal places.) Critical value = \_\_\_\_\_\_ What is the test statistic for this sample? (Report answer accurate to three decimal places.) Test statistic = \_\_\_\_\_\_ The test statistic is... - [ ] in the critical region - [ ] not in the critical region This test statistic leads to a decision to... - [ ] reject the null - [ ] accept the null - [ ] fail to reject the null
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