A recent television news station reports that the average Body Mass Index (BMI) (a measure of a person’s body composition) for males is 10kg/m2. A local university believes that this is unusually low and suspects that males are actually higher than their claim. They conduct a study with 20 undergraduate males randomly selected from their campus. A sample mean of 16.5kg/m2 with a standard deviation of 3.2kg/m2 was obtained. Using an alpha of.05 is there enough evidence to warrant rejection of the news station’s claim of 10kg/m2?? a. Write your hypotheses for this scenario.  b. Is this a one tailed or two tailed test?  i. Why?  c. What statistical test would be used for this scenario?  i. Explain why.

Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women

The heights of 10 year old American children are normally distributed with a mean height of 4 feet and 5 inches (or 53 inches) and a standard deviation of 4.5 inches.In order to be allowed to go on a particular kids ride at the amusement park, children must be at least 44.9 inches tall and no more than 59.75 inches tall.What percent of 10 year old American children cannot go on the ride?

A car company claims that its new SUV gets better gas mileage than its competitor's SUV. A random sample of 49 of its SUVs has a mean gas mileage of 17.1 miles per gallon (mpg). The population standard deviation is known to be 1.3 mpg. A random sample of 33 competitor's SUVS has a mean gas mileage of 16.3 mpg. The population standard deviation for the competitor is known to be 1.6 mpg. Test the company's claim at the 0.05 level of significance. Let the car company be Population 1 and let the competitor be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

In a certain country the heights of adult men are normally distributed with a mean of 67.2 inches and a standard deviation of 2.3 inches. The​ country's military requires that men have heights between 64 inches and 75 inches. Determine what percentage of this​ country's men are eligible for the military based on height.

An automobile manufacturer claims that their van has a 50.750.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 2323 vans they found a mean MPG of 50.950.9 with a standard deviation of 2.02.0. Is there sufficient evidence at the 0.10.1 level that the vans outperform the manufacturer's MPG rating? Assume the population distribution is approximately normal. Step 1 of 5 :   State the null and alternative hypotheses.

The masses of a rare breed of adult cats are normally distributed and have a mean mass of 4.2 kg with a standard deviation of 0.5 kg. An article in a pet magazine claims that 1 out of 40 such cats will have a mass of more than 5.2 kg. Is their claim reasonable? Explain/justify your answer.

In one city, the average amount of time that tenth-graders spend watching television each week is 23 hours. The principal of Birchwood High School believes it is less for the 10th grade students that at his school.  For a sample of 95 tenth-graders from the school, the mean amount of time spent watching television per week was 21.9 hours.  Assuming a population standard deviation of 3.1 hours, does the data provide sufficient evidence to conclude that for all tenth-graders at Birchwood High school, the mean amount of time spent watching television per week is less than the city average of 23 hours?  Perform the appropriate hypothesis test using a significance level of 0.005.  What are the hypotheses?         What is the test statistic? Is it a z or a t?         Find the P-value for this test statistic. How does it compare to the significance level?  On the normal curve, indicate the location of the test statistic  and  the p-value. (label them on the graph)                 Write…

Historically, the mean age of all Memphis residents has been 40 years.  You believe this has changed.  You take a random sample of 130 Memphis residents and find that their mean age is 36 years with a standard deviation of 17 years.  Can you conclude that the mean age of all Memphis residents has changed from 40 years. For the hypothesis testing scenario above, compute the test statistic. For the hypothesis testing scenario above, you conclude that the mean age of all Memphis residents has changed from 40 years at the 0.05 significance level.  Compute the 95% confidence interval to estimate the mean age of all Memphis residents.