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

According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a standard deviation of $7000. Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn at least $45,000. Round answer to at least 4 decimal places.

CNNBC recently reported that the mean annual cost of auto insurance is 991 dollars. Assume the standard deviation is 206 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N (

A car company says that the mean gas mileage for its luxury sedan is at least 25 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 6 cars has a mean gas mileage of 24 mpg and a standard deviation of 2 mpg. At a = 0.05, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. Click here to view page 1 of the normal table. Click here to view page 2 of the normal table. Which sampling distribution should be used and why? A. Use a normal sampling distribution because the population is normal, and o is known. B. Use a normal sampling distribution because n> 30. C. Use a t-sampling distribution because the population is normal, and o is known. D. Use a normal sampling distribution because the population is normal, and o is unknown. E. Use a t-sampling distribution because the population is normal, and o is unknown. O F. Use a t-sampling distribution because n 25 Ho: H#25 Ha: µ= 25 D. H : μ…

The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches

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.

Given a normal distribution with a mean of 50 and a standard deviation of 7 assign the values to the axis below for the mean and the 3 values above and below the mean

A normal distribution has mean 55.955.9 and standard deviation 2.582.58. Find the data value corresponding to z equals negative 3.91z=−3.91.   The data value is enter your response here. ​(Round to the nearest tenth as​ needed.)

Rhiannon made her first sky dive while in college. Based on a normal distribution with mean 52.8 years and standard deviation 10.3, what must the age of a skydiver be to fall in the bottom 11.12% of the distribution? 38.561 65.368 40.232 33.814