According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Martian adult male is randomly chosen. Let \( \mathrm{X}= \) height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X ? \( \mathrm{X}-\mathrm{N}(66 \) b. Find the probability that the person is between 67.4 and 69.8 inches. c. The middle \( 50 \% \) of Martian heights lie between what two numbers? Low: inches High:

Construct a box plot from the given data. Diameters of Cans in an Assembly Line: \( 5.8,5.7,5.2,5.5,5.3,5.7,5.8,5.4,5.9,5.3 \)

Find the range of the following data set, Assume the data set is a sample. \[ \begin{array}{lllllllllll} & 41 & 82 & 37 & 43 & 77 & 44 & 44 & 50 & 49 & 49\end{array} \] 8

Identify the population, the sample, and any population parameters or sample statistics in the given scenario. In the 1960 s, a poll of 2617 homeowners in the United States resulted in a report that the average price of a house in the U.S. was \( \$ 18,500 \). Answer O Population: none given: Sample: 2617 homeowners polled: Sample Statistic: \( \$ 18,500 \) Opopulation: U.S. homeowners: Sample: none given; Population Parameter: \( \$ 18,500 \)

Suppose that IQ scores have a bell-shaped distribution with a mean of 95 and a standard deviation of 16 . Describe where the highest and lowest \( 32 \% \) of IQ scores lie. Answer botween 47 and 143 below 79 and above 111

Scores on a test have a mean of 78 and a standard deviation of 13 . Tom has a score of 66 . Convert Tom's score to a \( z \)-score, rounded to the nearest hundredth.