statistics hw A need work shown

28.

Rutter Nursery Company packages its pine bark mulch in 50 pound bags. From a long history, the production department reports that the distribution of the bag weights follows the normal distribution and the standard deviation of this process is 3 pounds per bag. At the end of each day, Rutter, the production manager weighs 10 bags and computes the mean weight of the sample. Below are the weights of 10 bags from today’s production.

45.6, 47.7, 47.6, 46.3, 46.2, 47.4, 49.2, 55.8, 47.5, 48.5

A. can mr. rutter conclude that the mean weight of the bags is less than 50 pounds? Use the .01 significant levels.

B. in a brief report tells why mr. rutter can use the z distribution as the test statistic.

C. Compute the p-value.

34.

A recent article in vitality magazine reported that the mean amount of leisure time per week for American men is 40.0 hours. You believe this figure is too larger and decide to conduct your own test . In a random sample of 60 men, you find that the mean is 37.8 hours of leisure per week and that the standard deviation of the sample is 12.2 hours. Can you conclude that the information in the article is untrue? Use the .05 significant level. Determine the p-value and explain its meaning.

38.

The postanesthesia care area at St. Luke’s hospital in Maumee, Ohio was recently enlarged. The hope is that with the enlargement the mean number of patients per day would be more than 25. A random sample of 15 days revealed the following number:25, 27, 25, 26, 25, 28, 28, 27, 24, 26, 25, 29, 25, 27,

24.

At the .01 significant level, we can conclude that the mean number of patients per day is more than 25? Estimate the p value and interpret it.

50.

The policy of the suburban transit authority is to add a bus route if more than 55% of the potential commuters indicate they would use a particular route. A sample of 70 commuters revealed that 42 would use a proposed route from bowman park to the down town area. Does the bowman to downtown route meet the STA criterion? Use the .05 significance level.

56.

After a losing season there is a great uproar to fire the head football coach. In a random sample 200 college alumni, 80 favor keeping the coach. Test at the .05 level of significance whether the proportion of the alumni who support the coach is less than 50%?

24.

Clark heter is an industrial engineer at Lyons products. He would like to determine whether there are more units produced on the night shift than on the day shift. Assume whether there are more units produced on the day shift is the population standard deviation for the number of units produced on the day shift is 21 and is 28 on the night shift. A sample of 54 day shift workers showed that the mean number of units produced was 345. A sample of 60 night shift workers showed the mean number of units produced was 351. At the .05 significant level, is the number of units produced on the night shift larger?

32.

There are two major cell phone providers in Colorado springs, Colorado, area one called HTC and the other mountain communications. We want to investigate whether there is a difference in the proportion of times a call is successful. During a one-week period, 500 calls were placed at random times throughout the day and night to HTC. 450 of the calls were successful. A similar one-week study with mountain communications showed that 352 of 400 calls were successful. At the .01 significant levels, is there a difference in the percent of time that cell phone connections are successful?

36.

The national basketball Association had 39 black top executives among its 388 senior managers. Meanwhile, major league baseball had only 11 blacks among its 307 top administrators. Test at the .05 significance level if this reveals the NBA has significantly more black participation in higher levels of management.

Question 40……. below

48.

A goal of financial literacy for children is to learn how to manage wisely. One question is: how much money do children have? A recent study by Schnur Educational Research Associates revealed the following sample information regarding the monthly allowance that children receive. It is reasonable to conclude that the mean allowance received by children between 11 and 14 years is more than the allowance received by children between 8 and 10 years? Use the .01 significance level. What is the p-value?