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# Sampling Distribution

### Sampling Distributions

35. The Democrat and Chronicle reported that 25% of the flights arriving at the San Diego airport during the first five months of 2001 were late (Democrat and Chronicle), July 23, 2001). Assume the population proportion is p = .25 A. Show the sampling distribution of _ , the proportion of late flights in a sample of10

### Quantitative Analysis - diameter of Ping-Pong balls

The diameter of Ping-Pong balls manufactured at a large factory is expected to be approximately normally distributed with a mean of 1.30 inches and a standard deviation of 0.04 inch. What is the probability that a randomly selected Ping-Pong ball will have a diameter... a. less than 1.28 inches? b. Between 1.31 and

### Sampling Distribution of the Sample Mean - Normal Distribution

State whether the sampling distribution of the sample mean is normally distributed, or approximately normally distributed, or not normally distributed when computed from: a)A sample of 10 metabolic rations, where the population is normally distributed b)A Sample of 100 resting vagal tone in healthy adults, where the populati

### Valid probability distribution

A) Which of the following is a valid probability assignment for an event whose sample space is {A, B, C, D, F}? b) Explain the reason why each of the other two is not a valid probability assignment. Outcome Probability A 0.15 0.25 0.25 B 0.6 0.5 0.6 C 0.2 0.21 0.2 D 0.05

### Probability of the Sample Mean of Plumbers in a City

The average weekly earnings of the plumbers in a city is {\$750} with a standard deviation of {\$40}. Assume that we select a random sample of {n=64 plumbers} what is the probability that the sample mean will be greater than \$740?

### Example of statistical analysis

"The company investigating the golf balls is not satisfied with the limited analysis that it has done. The managers have collected a good deal of data, but they are not sure how to look at them and interpret the output. They decide to hire you to help them understand what the golf balls are doing and how they compare to each oth

### Sample means and population mean: Compare the dispersion in the population with that of the sample means.

1. A population consists of the following five values: 12, 12, 14, 15, and 20. List all samples of size 3, and compute the mean of each sample. Compute the mean of the distribution of sample means and the population mean. Compare the two values. Compare the dispersion in the population with that of the sample means. 2.

### Definition of sampling distributions and relation to marketing

What are sampling distributions? How do they assist in marketing?

### A Discussion of Sampling Distribution of the Sample Mean

Which of the following is true about the sampling distribution of the sample mean? A. The mean of the sampling distribution is always "u" B. The standard deviation of the sampling distribution is always "o" C. The shape of the sampling distribution is always approximately normal D. All of the above

### Statistics: Sampling

1. Consider a small population of 4 MBA students who are in the job market. One of the students has no job offers. 1 of the students has 1 job offer and the remaining 2 students each have two job offers. (a) Find the sampling distribution of the average number of job offers if the sample of size 2 is taken with replacement. (

### Sampling Distribution Model of Proportion/Mean

A company supplies poultry farmers with hens, advertising that a mature B300 Layer produces eggs with a mean weight of 60.7 grams. Suppose that egg weights follow a Normal model with standard deviation 3.1 grams. A. What fraction of the eggs produced by these hens weigh more than 62 grams? B. What's the probability that

### A cola dispensing machine...setting control limits

A cola dispensing machine is set to depense 9 ounces per cup with a standard deviation of .5 oz .THe manufacturer would like to set the control limits so that for samples of 16, 5% of the sample means will be greater than the upper limit and 5% of the sample means less than the lower limit. a at what values should the contro

### Skewed Distribution and Sampling (Multi Choice)

The amount of time that it takes to take an exam has a skewed-to-left distribution with a mean of 65 minutes and a standard deviation of 8 minutes. A sample of 64 students will be selected at random. A. Which of the following properly describes the distribution of the amount of time it takes to take an exam? aa)N(65,8) bb) N(65,

### Sampling Distribution and Approximate Probability

NBA salaries averaged 2.1 million with a standard deviation of 1.2 million in 2000. Suppose a sample of 36 NBA players was taken. A. What is the sampling distribution of the sample mean? aa) Approximately N(2.1, 1.2) (unit in millions) bb)Approximately N(1.2, 2.1) cc) Approximately N(2.1, .2) dd) Approximately N(1.2, .35) B. Wha

### New England Colonials

Suppose that the New England Colonials baseball team is equally likely to win any particular game as not to win it. Suppose also that we choose a random sample of 20 Colonials games. a. Estimate the number of games in the sample that the Colonials win by giving the mean of the relevant distribution (that is, the expectation of

### New England Colonials baseball team

Suppose that the New England Colonials baseball team is equally likely to win any particular game as not to win it. Suppose also that we choose a random sample of Colonials games. a. Estimate the number of games in the sample that the Colonials win by giving the mean of the relevant distribution (that is, the expectation of

### Compare and Contrast Confidence Intervals for Samples

P9.43 The SEC requires companies to file annual reports concerning their financial status. It is impossible to audit every account receivable. Suppose we audit a random sample of 49 accounts receivable invoices and find a sample average of \$128 and a sample standard deviation of \$53. a) Find a 99% confidence interval fo

### computing the e-value of a distribution.

A person runs one mile to his house as fast as he can. It is equally likely that he will run at an average speed of 3 miles per hour, 6 miles per hour, and 9 miles per hour. What is the e-value of your distribution of the time it will take this person to get home? Multiple choice answers: a) 8 minutes b) 10 minutes c)