Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 264 feet and a standard deviation of 45 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N b. Find the probability that a randomly hit fly ball travels less than 229 feet. Round to 4 decimal places. c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet Hist

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P30, the 30-percentile. This is the temperature reading separating the bottom 30% from the top 70%.P30 =       °C(Round answer to three decimal places)

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.   Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING...                 90         A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the left half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 90.       Question content area bottom Part 1 The area of the shaded region is enter your response here. ​(Round to four decimal places as​ needed.)

The ratings of applicants for credit are normally distributed with a mean of 200 and a standard deviation of 50. Find the 60th. percentile, the rating score that separates the lower 60% from the top 40%.  Round to the nearest integer.       a. 208   b. 187   c. 211   d. 213

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.)

Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a standard deviation o=20. Find the probability that a randomly selected adult has an IQ between 88 and 122. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 88 and 122 is (Type an integer or decimal rounded to four decimal places as needed.) C

Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. O A. 0.0082 O B. 0.8989 O C. 0.2881 O D. 0.9918 Next View Instructor Tip Calculator 809 PM 70°F Cloudy 10/8/2021 33 2 Type here to search 10/05/17 PrtSc Insert Delete AI F9 F10 F11 F12 F7 F8 F5 F6 Esc F3 F4 F1 & Backspace Num Lock C@ %23 5 7 080 3 T. Y కాం Home C Tab H. K Enter G A CapsLk 1 Shift C V N End hift PgUp Alt Ctrl End + |/ A MI 小 44

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

Find the area, square unit, to the nearest thousandth of the standard deviation between the given z-scores. Z equals 1.12 and z equals 1.73.

Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Click the icon to view the data table of IQ scores. a. Use a 0.05 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. X A. Ho: H₁ H₂ H₁ H₁ H₂ c. Ho: M₁ = H₂ H₁: H₁ H₂ The test statistic is 0.56. (Round to two decimal places as needed.) The P-value is (Round to three decimal…