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 mean of 57 and a standard deviation of 8, calculate the following probabilities using Excel. Notice this is not a standard
Pr(X < 62.4)
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- A normal distribution has a data point 28.2 with a z-score of 1.4. If the standard deviation is 3.8, what is the mean? 22.88 28.2 33.52 11.75Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 80 people. (You may need to use the standard normal distribution table. Round your answers to the nearest whole number.) How many would you expect to be taller than 178 cm? peopleAssume that the distribution for the following scenario is normal. Use the standard normal table to find the probability. Round z-scores to the nearest hundredth. Do not round the probability from the table. Heights of 2 year old boys are normally distributed with mean 28 inches and standard deviation of 2.4. What is the chance a 2 year old boy is less than 26 inches tall? P(xP(x Answer 26)=P(z26)=P(z Answer Answer )=)= Answer What is the chance a 2 year old boy is more than 20 inches tall? P(xP(x Answer 20)=P(z20)=P(z Answer Answer )=)= Answer Incorrect
- 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.Suppose that you expect college freshmen who live on campus will do better academically than those who do not. You select a random sample of 75 freshmen, group them according to where they live, and calculate the following summary statistics. Do these results support your expectations? Assume that the true population standard deviations are equal. Use α = 0.10. Use α = 0.05. What is the p-value of this test?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 (
- 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 meanYou 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: 10.5
- Justin records the speeds of vehicles moving past their house. The speed limit is 50 km/h. The mean and standard deviation of 128 readings was 2-38.1 km/h and s=5.2 km/h. Assuming the data is normally distributed, what is the percent chance (approximately) that a person is travelling faster than 43.3 km/h? Use this Standard Normal Distribution curve to help answer the question: Answer: Answer 0.1% 0.5% 30 1.7% 4.4% 9.2% 15% 10 19.1% 19.1% 15% 05 00 05 Standard Deviation (0) no 4.4% 1.7% 0.5% 0.1% 25 3.5Suppose 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) =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)
