Given a sample with a mean of 175 and a standard deviation of 40, calculate the following probabilities using Excel. Notice this is not a standard normal distribution. Round your answer to three decimal places e.g. 0.132 Pr(X < 184.4
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Given a sample with a mean of 175 and a standard deviation of 40, calculate the following probabilities using Excel. Notice this is not a standard
Pr(X < 184.4)
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- Use z-scores to make the following comparison. A high school student took two college entrance exams, scoring 1110 on the SAT and 27 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 130 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 50 and a standard deviation of 8. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 42 and 66?ans =_______ %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.
- This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.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 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.
- Suppose the mean starting salary for nurses is $68,722 nationally. The standard deviation is approximately $10,769. The starting salary is not normally distributed but it is mound shaped. A sample of 43 starting salaries for nurses is taken. What is the mean of the sample mean?μx̄ = What is the standard deviation of the sample mean? Find the probability that the sample mean is more than $77,000. P(x̄ > 77000) =The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.Suppose a set of data has a sample mean of 112 and a sample standard deviation of 8.3. What is the z-score for the value 127.8? Round the z-score to two decimal places. Your Answer:
- A normal distribution has a mean of 136 and a standard deviation of 10. Find the z-score for a data value of 141.Round to two decimal placesAssume 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.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: