### Hypothesis Testing at a Significance Level of \( \alpha = 0.10 \)You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \):\[ H_0: \mu = 87.1 \]\[ H_a: \mu < 87.1 \]You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:| data ||-------|| 54.5 || 56.5 || 67.6 || 30.4 || 83.3 || 102.2 |1. **Test Statistic Calculation** What is the test statistic for this sample? (Report answer accurate to three decimal places.) \[ \text{test statistic} = \_\_\_\_\_\_\_\_ \]2. **P-value Calculation** What is the p-value for this sample? (Report answer accurate to four decimal places.) \[ \text{p-value} = \_\_\_\_\_\_\_\_ \]3. **Decision Making** The p-value is... - ☐ less than (or equal to) \( \alpha \) - ☐ greater than \( \alpha \)### ConclusionThis test statistic leads to a decision to...- ☐ reject the null- ☐ accept the null- ☐ fail to reject the null

Significance level()=0.10The null and alternative hypothesis isH0:Ha:The sample data set…

Answered: You wish to test the following claim…

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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Assume that adults have IQ scores that are normally distributed with a mean of 103.8 and a standard deviation 15.7. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. The first quartile is
You wish to test the following claim (H.) at a significance level of a = 0.002. H.:µ = 55.7 На:и < 55.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 24.5 35.2 1.8 10 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... O There is enough evidence to show that the population mean is not less than 55.7. There is not enough evidence to show that the population mean is not less than 55.7. OThere is enough evidence to show that the population mean is less than 55.7. There is not enough evidence to show that the…
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