en a sample with a mean of 57 and a standard deviation of 8, calculate the following probabilities using Excel. Notice this is not a standard normal distribution. Round your answer to three decimals points, e.g. 0.753. Pr(X < 62.4)
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Given a sample with a
Pr(X < 62.4)
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- Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be less than 240 lbs? Round your answer to three decimal places, eg 0.192.Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 252 lbs? Round your answer to three decimal places, eg 0.192.Assume that the heights of women are normally distributed with a mean of 62.4 inches and a standard deviation of 1.6 inches. Find Q3 the third quartile that separates the bottom 75% from the top 25%
- You are interested in how uniform the lengths of socks are that are produced at a factory. You measure the distribution and see that there is a normal distribution for the length of the socks. Given the following information, how likely is it that a sock is above 25 cm. Mean: 20 Standard deviation: 10.5Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be greater than 260 lbs? Round your answer to three decimal places, eg 0.192.In the US women between the ages of 18 to 50 have shoe sizes that approximately follow a normal distribution. The approximate mean is shoe size 8.43 and the standard deviation is 1.35. Find the 90th percentile of this distribution, write the calculator function used to compute the result, and interpret it in a complete sentence.
- Lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 13 days. A baby is considered premature if the pregnancy length is at or below the third percentile (P3) of all pregnancy lengths. Find the length of pregnancy in days that separates the premature babies from those that are not considered premature. Round to the nearest integer.Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be greater than 240 lbs? Round your answer to three decimal places, eg 0.192.If a normal distribution has a mean of 19.0 and a standard deviation of 1.3, what value is at the 90th percentile? (Hint: Use Table A4)
- Valentino's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold Thin crust 339 Thick crust 232 Stuffed crust 269 Pan style 210 Based on this information, of the next 3000 pizzas he sells, how many should he expect to be pan style? Round your answer to the nearest whole number. Do not round any intermediate calculations.The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.2 and 10.1 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High:In a certain population, let us assume that high school scores are normally distributed with mean of 74 and standard deviation of 15. What is the 75th percentile? Select one: O a. 84.05 O b. 68.15 O c. 79.85 O d. 63.95
