After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $25,300. Assume the population standard deviation is $8,400. Suppose that a random sample of 40 USC students will be taUse z-table.a. What is the value of the standard error of the mean?(to nearest whole number)b. What is the probability that the sample mean will be more than $25,300?(to 2 decimals)c. What is the probability that the sample mean will be within $1,000 of the population mean?(to 4 decimals)d. How would the probability in part (c) change if the sample şize were increased to 100?(to 4 decimals)

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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...

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M1
C6. When taking a random sample from a very large population, how does the standard error of the mean change when a. the sample size is increased from 100 to 1,600? b. the sample size is decreased from 300 to 150? c. the sample size is multiplied by 4?
If the weight (in pounds) of fish in my pond is normally distributed with mean 8 and standard deviation 2, what (to 2 decimal place accuracy) is the lowest possible weight for a fish in the top three percent in weight? You may use stattrek.org to calculate the answer. Group of answer choices
Urgent
1. In a sentence or two, explain what a sampling distribution is. 2. In a sentence or two explain how the standard error of the mean is similar to the standard deviation.
Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 115. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING... Question content area bottom Part 1 (a) Approximately 1.181.18% of the SAT verbal scores are less than 650. (Round to two decimal places as needed.) Part 2 (b) You would expect that approximately 0.880.88 SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed.)
K The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before (Round to the nearest integer as needed.) days are considered premature. .
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The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.

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