On average, indoor cats live to 16 years old with a standard deviation of 2.6 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. The middle 40% of indoor cats' age of death lies between what two numbers?      Low:  in years?      High:  in years?

Pearson publishes textbooks each semester and the mean number of textbook pages published by Pearson for 2020 is 568 with a standard deviation of 150 pages.  What is the chance you will have to read a textbook published by Pearson in 2020 that has more than 733 pages? Write your answer as a percent.

The song-length of tunes in the Big Hair playlist of a Statistics professor's mp3-player varies from song to song. This variation can be modeled by the Normal distribution, with a mean song-length of u = 4.3 minutes and a standard deviation of o 0.65 minutes. Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds. = While listening to a song, the professor decides to shuffle the playlist, which means the mp3-player is to randomly pick a song within this particular playlist, and play this next. If using/working with z-values, use three decimals. (a) What is the probability that the next song to be played is between 3.6 and 4.6 minutes long? Answer to four decimals. (b) What proportion of all the songs in this playlist are longer than 5 minutes? Use four decimals in your answer. (c) 10% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals, and keep your answer consistent with how the song length…

Yearly snow fall of a certain town follows a normal distribution with a mean of 37 inches and a standard deviation of 2.5 inches.  What is the z-score if in 2007 the snowfall was 40 inches?

A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 1549 and the standard deviation was 318. The test scores of four students selected at random are 1960​,1270​, 2250​, and 1450. Find the​ z-scores that correspond to each value and determine whether any of the values are unusual.

Suppose the the high temperatures recorded during each of the past 5 days (in Fahrenheit) are as follows: 70, 85, 91, 77, and 82. Find the mean and standard deviation of these temperatures.

The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days and a standard deviation of 13 days.In what range would you expect to find the middle 50% of most pregnancies? Between and.

Round each z-score to the nearest hundredth. A data set has a mean of  x = 213  and a standard deviation of 48. Find the z-score for each of the following. (a) x = 200   (b) x = 224   (c) x = 300   (d) x = 100

The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of ¯x?

A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of the applicants would you expect to have a score of 350 or above?