SAT scores in one state is normally distributed with a mean of 1502 and a standard deviation of 176. Suppose we randomly pick 37 SAT scores from that state. Find the probability that the average of the scores for the sample of 37 scores is greater than 1438. Hello, can you please help me with this and can this be done with calculator function and excel? Thank you!

SAT scores in one state is normally distributed with a mean of 1502 and a standard deviation of 176. Suppose we randomly pick 37 SAT scores from that state. Find the probability that the average of the scores for the sample of 37 scores is greater than 1438. Hello, can you please help me with this and can this be done with calculator function and excel? Thank you!

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Scores on the SAT test have a mean of 1518 and a standard deviation of 325. If 100 students are randomly chosen and the mean of their SAT scores is calculated, find the probability that the sample mean is less than 1460.
The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5 years, find the z-scores corresponding to the oldest and youngest senators of age 86 and 46. Round z scores to two decimal places.
please use the calculator method to work this how you would work it in a ti-83 or ti-84 calculator If the mean operating life for a particular make of washing machine is 10.5 years with standard deviation of 2.2 years, find the probability that, for a sample of 50 of these washing machines, the mean operating life will be more than 11 years.
The national average SAT schore was found to be a 2140 with a standard deviation of 892. If the test is normally distributed, find each The integer 87th percentile score What is the probability that a students will score between a 2100 and a 2740
You will be comparing two sets of data for this assignment. 1. Determine the average number of toilet paper rolls* for Fall 2022 biochemistry and genetics students (individually) and calculate the standard deviation of each using the equation. Please be sure to show your work. I know that you can easily use tools like Microsoft Excel to calculate standard deviation, but I would like to see you complete the work by hand so that you get a sense of the role of each component of the equation. Ignore students that did not provide answers (don't use those students in the mean or N value calculations). 2. Please answer the following questions when you submit your data. Which group had a higher mean number of rolls of toilet paper? Which value had the most variability? Referring to the equation, how could you decrease the amount of variability in the mean? Did you find the variation surprising or unexpected? The two sets of data and the standard deviation formula pictures are attached…
the statistic X defined as X = 49S 2
My mean is 104 and the standard deviation is 24. At least 36% of the scores fall between what 2 values? I am stuck, please help!
A population of N = 20 scores has a mean of = 10. One score in the population is changed from X = 25 to X = 5. What is the value of the new population mean?
The distribution of heights of adult men is approximately normal with mean 69 inches and standard deviation 2.5 inches. Bob's height has a Z-score of -2.5 when compared to all adult men. In 1-2 sentences, interpret what this Z score tells about how Bob compares to other men in terms of height.
I need help solving this statistics problem.
A certain standardized test's math scores have a bell-shaped distribution with a mean of 520 and a standard deviation of 119. What percentage of standardized test scores is between 163 and 877? I can't figure out how to solve this problem for my stats homework and how the standard deviation works.
The scores on a standardized test are normally distributed with a mean of 115 and standard deviation of 20. What test score is 2.2 standard deviations above the mean?