Let’s say we want to study how much screen time the average employee at a particular company is getting in a day. In a sample of 8 employees, they averaged 7.5 hours of screen time with a standard deviation of 45 minutes. (Notice that the standard deviation is in minutes and the average is in hours.) Test the claim that the average screen time is 8 hours. Lets say after conducting the study, you get a p-value of 3.432 * 10 ^-5. Do you reject or fail to reject the null hypothesis? If an error was committed, what type would it be?

Calculate z scores from two samples The tallest living man at one time had a height of 252 cm. The shortest living man at that time had a height of 30.3 cm. Heights of men at that time had a mean of 170.25 cm and a standard deviation of 8.47 cm. Answer Z score for the tallest man Z-score for the shortest men

The latest available data showed health care spending were $8086 per person in the United States (17.6% of GDP). Use $8086 as the population mean and $2500 as the population standard deviation. Suppose a survey firm will take a sample of 100 people to investigate their health care spending What is the sampling distribution of the mean amount of health care spending for the sample of 100 people? (i.e. shape, mean, sd) What is the probability the sample mean will be within +$200 of the population mean?

Use the following scenario to answer the next 6 questions. An engineer has designed a valve that will regulate water pressure on an automobile engine.  The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi.  If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications? Choose the statement that matches your decision & conclusion. Group of answer choices Fail to reject the null: there is NOT sufficient evidence that the valve performs below specifications. Fail to reject the null: there IS sufficient evidence to conclude that the valve performs below specifications. Reject the null: there is NOT sufficient evidence that the valve performs below specifications. Reject the null: there IS sufficient evidence that the valve performs below specifications.