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Determine the test statistic for the test

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The average number of employees in medium sized US businesses (population) is 110. A business administrator at a certain business claims that the average number is different from 110. A random sample of 40 business were chosen. The sample mean score was 130 and population standard deviation is 10. Is there sufficient evidence to support the business administrator's claim? Take alpha =.05 and use = 1.96 as the critical value.

1. What percentage of medium sized companies have more than 130 employees?

2. The top 10% of medium sized companies have how many employees? Round to the nearest employee.

3. Formulate Null and Alternate Hypothesis for the test to be done.

4. Determine the test statistic for the test. Round to the nearest hundredth.

5. Should the null hypothesis be accepted or rejected?

6. Is the test statistically significant? Provide your rationale for the conclusion.

The mean scores on the SAT are normally distributed with mean 700 and population standard deviation 100. At Logan High School, a sample of 49 students is taken with a sample mean of 675. A scientist wants to determine if the mean scores at Logan High School are statistically different from the rest of the country. For the test use the critical value and .

7. Can we apply the empirical rule for this scenario? Why or why not?

8. Write the Null Hypothesis the Alternate Hypothesis.

9. Determine the test statistic.

10. What is the result of the test?

Reference no: EM132853364

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