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10. Suppose that the average weekly grocery bill for a family of four is $140 with...
7. Suppose that the average weekly earnings for employees in general automotive repair shops is $450,...
7. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is SSO. A sample of 100 such employees is selected at random. a) Find the mean and standard deviation of the sampling distribution of the average weekly earnings in the sample. (b) Find probability that the mean of the sample is less than $445. (e) Find the probability that the mean of...
According to the United States Department of Agriculture, the monthly grocery budget for a family of...
According to the United States Department of Agriculture, the monthly grocery budget for a family of 4 ranges between $557.17 and $1212.17. If we assume grocery budgets are normally distributed, then the mean grocery budget would be $884.67 with a standard deviation of $109.1675. a. Between what two values do we expect the middle 68% of grocery budgets to fall? o between $ and $ b. What is the probability the monthly grocery bill for a family of 4 is...
Question 3: A study is performed in San Antonio to determine whether the average weekly grocery...
Question 3: A study is performed in San Antonio to determine whether the average weekly grocery bill per five -person family in the town is significantly different from the national average, which is $131. A random sample of 50 five person families in San Antonio showed a mean of $133.474 and a standard deviation of $11.193. a) Formulate the hypotheses. b) What is the value of the test statistic? c) What are the critical values of the test? d) Find...
Assume that the average water bill is $15.30 with standard deviation $4.10. a) What is the...
Assume that the average water bill is $15.30 with standard deviation $4.10. a) What is the probability that in a random sample of 36 people in a particular neighborhood their average water bill is $14.00 or less. b) What is the smallest range of water bill amounts covering 99% of the distribution?
Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume...
Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 3 weeks. Suppose you would like to select a sample of 70 unemployed individuals for a follow-up study. Use 2-table. a. Show the sampling distribution of 7, the sample mean average for a sample of 70 unemployed individuals. E(2) (to...
A mutual fund company promises that their clients earn an average of 10% on investments they...
A mutual fund company promises that their clients earn an average of 10% on investments they recommend. The returns have a population standard deviation of 2%. In a sample of 25 investments, you find that the average return is 8.90% with a standard deviation of 4%. Find the probability of a single return being less than 8.90%. Use clear calculations Find the probability of the average of 25 returns being less than 8.90%. Use clear calculations. Identify which of the...
Name: Wit: SAMPLING DISTRIBUTION EXERCISE The average length of a hospital stay in general or community...
Name: Wit: SAMPLING DISTRIBUTION EXERCISE The average length of a hospital stay in general or community hospitals in the United States is 6 days Assume that the population standard deviation is 7.7 days. A simple random sample of 49 patients is drawn from this population. 1. What is the sampling distribution of the sample mean? 2. What is the probability that the average length of stay for this group of patients will be no more thana week? 3. What is...
26. A large survey found that an American family generates an average of 17.6 lb of...
26. A large survey found that an American family generates an average of 17.6 lb of glass garbage each year. Assume normal distribution with the standard deviation of 3.5 pounds. a. What proportion of families generates less than 17 lbs of glass garbage each year? b. If a family is selected at random, what is the probability that it generated less than 17 lbs of glass garbage in a year? c. If a sample of 35 families is randomly selected,...
Suppose the proportion of people affected by gluten sensitivity in the United States is 0.2. If...
Suppose the proportion of people affected by gluten sensitivity in the United States is 0.2. If we let (p^) be the proportion in a random sample of size n = 120, write the mean, standard deviation and sampling distribution of sample proportion, and find the approximate probability that the value of (p^) is less than the population proportion (p) by 0.01 or more within 0.01 of the p not within 0.01 of the p
A random sample of 20 family practitioners in a city had an average salary of $150,250...
A random sample of 20 family practitioners in a city had an average salary of $150,250 with a standard deviation of $32,400. Can you conclude that the true average family practitioner salary in this city is less than $180,000? It has been confirmed that the these salaries come from a normal distribution. What is the test statistic? Round to the fourth as needed.
7. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is SSO. A sample of 100 such employees is selected at random. a) Find the mean and standard deviation of the sampling distribution of the average weekly earnings in the sample. (b) Find probability that the mean of the sample is less than $445. (e) Find the probability that the mean of...
According to the United States Department of Agriculture, the monthly grocery budget for a family of 4 ranges between $557.17 and $1212.17. If we assume grocery budgets are normally distributed, then the mean grocery budget would be $884.67 with a standard deviation of $109.1675. a. Between what two values do we expect the middle 68% of grocery budgets to fall? o between $ and $ b. What is the probability the monthly grocery bill for a family of 4 is...
Question 3: A study is performed in San Antonio to determine whether the average weekly grocery bill per five -person family in the town is significantly different from the national average, which is $131. A random sample of 50 five person families in San Antonio showed a mean of $133.474 and a standard deviation of $11.193. a) Formulate the hypotheses. b) What is the value of the test statistic? c) What are the critical values of the test? d) Find...
Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 3 weeks. Suppose you would like to select a sample of 70 unemployed individuals for a follow-up study. Use 2-table. a. Show the sampling distribution of 7, the sample mean average for a sample of 70 unemployed individuals. E(2) (to...
Name: Wit: SAMPLING DISTRIBUTION EXERCISE The average length of a hospital stay in general or community hospitals in the United States is 6 days Assume that the population standard deviation is 7.7 days. A simple random sample of 49 patients is drawn from this population. 1. What is the sampling distribution of the sample mean? 2. What is the probability that the average length of stay for this group of patients will be no more thana week? 3. What is...
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