Question

In: Statistics and Probability

A large national survey of American dietary habits showed a mean calorie consumption of 2700 kcal...

A large national survey of American dietary habits showed a mean calorie consumption of 2700 kcal and a standard deviation of 450 kcal among teenage boys. You are studying dietary habits of children in your county to see if they differ from the national norm. (a) In a sample of 36 teenage boys, you find a mean consumption of 2620 kcal. At  = 0.05, is this significant evidence that the mean in your county differs from the national mean? Assume that the standard deviation observed nationally can be used for  . (b) Using =0.05 and sample of size 36, what is the probability that you will actually be able to detect a situation where your county has a mean of only 2600 kcal? (That is, what is the power if =2600?)

REFER TO THE INFORMATION ABOVE:

A) Give a 95% confidence interval for the mean consumption among teenage boys in your country.

B) The confidence interval in (b) has a wide margin of error. What sample size would you suggest if you wanted a margin of error of only 75 kcal?

Solutions

Expert Solution

(a)

Conclusion: There is significant evidence that the mean in your county differs from the national mean.

(b)

-------------------

(A)

(B)

orchestra answered 1 year ago
Next > < Previous

Related Solutions

A large national survey of American dietary habits showed a mean calorie consumption of 2700 kcal...
A large national survey of American dietary habits showed a mean calorie consumption of 2700 kcal and a standard deviation of 450 kcal among teenage boys. You are studying dietary habits of children in your county to see if they differ from the national norm. (a) In a sample of 36 teenage boys, you find a mean consumption of 2620 kcal. At  = 0.05, is this significant evidence that the mean in your county differs from the national mean?...
Show work please. The sample mean consumption of 16 Missouri men is 2610 kcal, with an...
Show work please. The sample mean consumption of 16 Missouri men is 2610 kcal, with an estimated standard error of 175 kcal. Test the hypothesis that the mean is greater than the population mean consumption of US men of 2350.
Q- Develop a short survey for consumers about their news consumption habits, so as to gather...
Q- Develop a short survey for consumers about their news consumption habits, so as to gather opinions and feedback so that improvements can be made to be more commonly suitable to the general public of consumers.
A survey conducted by the American Automobile Association showed that a family of four spends an...
A survey conducted by the American Automobile Association showed that a family of four spends an average of $215:60 per day while on vacation. Suppose a sample of 64 families of four vacationing at Niagara Falls resulted in a sample mean of $252:45 per day and a sample standard deviation of $74:50. Using a 98% confidence interval estimate, you wish to determine whether the average amount a family of four will spend when vacationing at Niagara Falls per day is...
The survey by The Bureau of Labor Statistics American Time, showed that the time a person...
The survey by The Bureau of Labor Statistics American Time, showed that the time a person spends in the United States using a computer for entertainment varies greatly according to age. Individuals aged 75 years and older averaged 0.3 hrs (18 minutes) per day. Those aged 15 to 19 spent 1.0 hrs a day. If these times follow an exponential distribution find the proportion of each group that passes: a) Less than 15 minutes a day using the computer to...
A survey conducted by the American Automobile Association showed that a family of four spends an...
A survey conducted by the American Automobile Association showed that a family of four spends an average of $215.60 per day while on vacation. Suppose a sample of 64 families of four vacationing at Niagara Falls resulted in a sample mean of $252.45 per day and a sample standard deviation of $74.50. a. Develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls (to 2 decimals). ( , )...
A survey conducted by the American Automobile Association showed that a family of four spends an...
A survey conducted by the American Automobile Association showed that a family of four spends an average of $315.60 per day when on vacation. Assume that $315.60 is the population mean expenditure per day for a family of four and that $85.00 is the population standard deviation. Suppose that a random sample of 40 families will be selected for further study. What is the standard deviation of the sampling distribution of xbar values where xbar is the mean expenditure per...
A national survey of heads of households showed the percentage of those who asked for a...
A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one. According to the survey, of the women interviewed, 26% had asked for a raise, and of those women who had asked for a raise, 45% received the raise. Suppose a woman is randomly selected, then: (a) Find P (woman did not ask for a raise). (b) Find P (woman asked for raise and received raise). You are...
Does it pay to ask for a raise? A national survey of heads of households showed...
Does it pay to ask for a raise? A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one. According to the survey, of the women interviewed, 26% had asked for a raise, and of those women who had asked for a raise, 45% received the raise. If a woman is selected at random from the survey population of women, find the following probabilities. (Enter your answers to...
A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with...
A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 200200 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 200200 individuals and asks them the same questions. Can the psychologist confirm his theory that the attitudes have changed from the first survey to the second survey? Attitude 1st Survey 2nd Survey Optimistic 28% 32% Slightly Optimistic 8% 9% Slightly Pessimistic...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT