Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $176,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 35 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of ? I - N( c. For a single randomly selected graduate, find the probability that her salary is between $172,940 and $178,260. d. For a simple random sample of 35 graduates, find the probability that the average salary is between $172,940 and $178,260. e. For part d), is the assumption of normal necessary? O YesO No

In a normal distribution, ____ of the distribution lies within one standard deviation of the mean. 50%. 68%. 95%. 99.7%.

Scores on an aptitude test are normally distributed with a mean of 960 and standard deviation of 120. Use the Cumulative Z-Score Table to answer the following questions. Write your answer rounded to the nearest whole number. If 1,570,000 students take the test.. how many would you expect to score above 1224? students ...how many would you expect to score above 972? students ...how many would you expect to score between 972 and 1224? students

A report announced that the median sales price of new houses sold one year was ​$231,000​, and the mean sales price was ​$271,000. Assume that the standard deviation of the prices is ​$100,000. Complete parts​ (a) through​ (d) below. ​(a)   If you select samples of n=​2, describe the shape of the sampling distribution of X.   Choose the correct answer below.     A. The sampling distribution will be approximately normal.   B. The sampling distribution will depend on the specific sample and will not have a constant shape.   C. The sampling distribution is skewed to the​ right, but less skewed to the right than the population.   D. The sampling distribution will be approximately uniform. ​(b)   If you select samples of n=100​, describe the shape of the sampling distribution of X.   Choose the correct answer below.     A. The sampling distribution will depend on the specific sample and will not have a constant shape.   B. The sampling…

The average income in a state was ​$64 comma 64,000 per person per year. Suppose the standard deviation is ​$29 comma 29,000 and the distribution is​ right-skewed. Suppose we take a random sample of 100 residents of the state. Complete parts​ (a) and​ (b) below. a. What value should we expect for the sample​ mean? Why?   b. What is the standard error for the sample​ mean?

What is the mean and standard deviation of the sampling distribution of X¯X¯ for n = 16, if the sampled population has a mean of 48 and a standard deviation of 12? Select one: a. 4 and 1 b. 12 and 3 c. 48 and 3 d. 48 and 1 e. 48 and 12

The average production cost for major movies is 57 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 46 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 20 b. What is the distribution of ? - N c. For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 55 million dollars. 58 d. For the group of 46 movies, find the probability that the average production cost is between 52 and 55 million dollars. e. For part d), is the assumption of normal necessary? Yes No

i need c d and e please

Suppose that 49% of all adult women think they do not get enough time for themselves. An opinion poll interviews 958 randomly chosen women and records the sample proportion who feel they don't get enough time for themselves. a. Describe the sampling distribution of p.  Mean = ________ Standard Deviation=__________ b. The truth about the population is p=0.49. In what range will the middle 95% of all sample results fall? lower bound -_______________ upper bound -_______________ c. What is the probability that the oll gets a sample in which fewer than 47% say they do not get enough time for themselves.

The test scores on a science quiz were:  50  50  63  71  74  74  75  77  78  80  85  99. This is a population! ALL QUIZ GRADES!  Determine the mean (round to the nearest whole number) and standard deviation (Round to the hundredth place- two decimals).  The mean is?     and the deviation is ?