Essay Question #2 Make sure your answer to the following two-sample confidence interval is written on paper and submitted to the final exam upload and score module before you leave Zoom. The PLNU is trying to determine if basketball players weigh more that baseball players.  A random sample was taken of 43 basketball players and their mean weight was 192 lbs with a standard deviation of 23.4 lbs.  A random sample of 58 baseball players was taken and their mean weight was 187 lbs with a standard deviation of 17.1 lbs.  Give a 90% confidence interval for the mean difference in the average weights of PLNU basketball and baseball players. Be sure to show all formulas, work, and numbers used (e.g. & critical value).  At the end of your work, write a one or two sentence summary in non-statistical language to describe what you have found, not how you found it.

Administrators wonder how much time students spend at the beach each week.  They report the 99% confidence interval as 60

Administrators wonder how much time students spend napping each week.  They report the 95% confidence interval as 85

Glenda is trying to test the ball bearings from her new factory. She knows the machines should produce a ball bearing with weight 2.730 grams and a standard deviation of 0.13 grams. What size simple random sample should she plan to take to be 95% sure the true mean of the new bearings are off in weight by no more than 0.01 grams? The correct number is in the range:

To test

The EPA is doing a hypothesis test of the mpg of the current model year sedans.  They test a simple random sample of 17 models and find the mean is 26.5 and the standard deviation is 1.2.  What is the critical value to test the claim that the mpg is not 26.1 mpg at alpha=0.10? (Assume mpg is normally distributed.)

Essay Question #2 Make sure your answer to the following two-sample confidence interval is written on paper and submitted to the final exam upload and score module before you leave Zoom. The PLNU is trying to determine if basketball players weigh more that baseball players.  A random sample was taken of 47 basketball players and their mean weight was 192 lbs with a standard deviation of 21.4 lbs.  A random sample of 54 baseball players was taken and their mean weight was 187 lbs with a standard deviation of 19.1 lbs.  Give a 95% confidence interval for the mean difference in the average weights of PLNU basketball and baseball players. Be sure to show all formulas, work, and numbers used (e.g. & critical value).  At the end of your work, write a one or two sentence summary in non-statistical language to describe what you have found, not how you found it.

Essay Question #1 Make sure your answer to the following Z-prop significance test is written on paper and submitted to the final exam upload and score module before you leave Zoom. According to a 2017 survey, Millennial males in the US were more likely to own a cat then their female counterparts. 48% of the male Millennial survey respondents stated that they owned a cat, compared to 35% of the females who responded. Suppose a SRS survey of 255 Millennial females was conducted last year and found that 99 said they were cat owners. Using a significance level of 0.05, is there significant evidence to claim that the proportion of female Millennial cat owners in the US is different than 35%? Be sure to include the following: 1. State an appropriate null and alternative hypotheses. 2. Find a test statistic. Show all your work- formula used and answer. 3. Find the P-value. 4. Make a conclusion. 5. Write one to two sentences explaining what your test found in the context of the problem using non statistical language. 

The EPA is doing a hypothesis test of the mpg of the current model year sedans.  They test a simple random sample of 19 models and find the mean is 26.5 and the standard deviation is 1.2.  What is the critical value to test the claim that the mpg is not 26.1 mpg at alpha=0.02? (Assume mpg is normally distributed.)

The St. Lawrence Punkin Chunkin contest is held every fall in Cooperstown, New York. Contestants build devices meant to hurl 8 to 10 -pound pumpkins across the St. Lawrence river. A group of researchers is trying to determine what device gives the best results. They have a group of 25 people who first use air canons and repeat the process using catapults.  What is the proper statistical test to run for this experiment?