The living spaces of all homes in a city have a mean of 2150 square feet and a standard deviation of 400 square feet. Let x be the mean living space for a random sample of 50 homes selected from this city. Find the mean of the sampling distribution of x. Enter an exact answer. mean of x = i Find the standard deviation of the sampling distribution of . Round your answer to one decimal place. square feet standard deviation of x = i square feet

Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees   and standard deviation of 1.00degrees C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 95 ​, the 95 th   percentile. This is the temperature reading separating the bottom 95 %   from the top 5 %.

Assume that the SAT test scores are normally distributed with a mean score of 1200 and a standard deviation of 150. ACT test scores are normally distributed with a mean score of 22 and a standard deviation of 3 Mike scored 1250 on the SAT. What proportion of all test takers did Mike score higher than? If Mike scored a 1250 on the SAT and Jes scored a 26 on the ACT, then who's score is relatively better?

Please answer with explanation. I will really upvote

The ages in years of a random sample of shoppers at a gamming store are shown. 12, 17, 23, 13, 20, 16, 20, 18, 13, 18. Find the range, mean, variance and standard deviation.

The ages​ (in years) of a random sample of shoppers at a gaming store are shown. Determine the​ range, mean,​ variance, and standard deviation of the sample data set. 12, 20, 23, 13, 18, 17, 22, 17, 15, 16 The range is The mean is ( Simplify your answer. Round to the nearest tenth as​ needed.) The variance is (Simplify your answer. Round to the nearest hundredth as​ needed.) The standard deviation is (Simplify your answer. Round to the nearest tenth as​ needed.) Can you please explain me this math problem having trouble understanding. Thank you.

Assume the selling prices of homes in a particular community follow a normal distribution with a mean of $263,100 and a standard deviation of $43,200. Complete parts a through c. a. Determine the range of selling prices in this community that includes one standard deviation around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) b. Determine the range of selling prices in this community that includes two standard deviations around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) c. Determine the range of selling prices in this community that includes three standard deviations around the mean. The range is from $ to $1. (Type integers or decimals. Use ascending order.)

Please answer a and b

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is between -2.05 and 3.87 and draw a sketch of the region. Sketch the region. Choose the correct graph below. OA. OB. OC. OD. -2.05 3.87 2.05 3.87 -2.05 3.87 -2.05 3.87 The probability is (Round to four decimal places as needed.)

Compute the standard deviation of the sampled proportions if p=.8 and n=50. Round to three places.