A leading magazine (like Barron's) reported at one time that the average number of weeks an individual isunemployed is 39 weeks. Assume that for the population of all unemployed individuals the length ofunemployment is normally distributed where the population mean length of unemployment is 39 weeks andthat the population standard deviation is 7 weeks. Suppose you would like to select a random sample of 37unemployed individuals for a follow-up study.Find the probability that a single randomly selected value is less than 38.P(X < 38) =1Find the probability that a sample of size n = 37 is randomly selected with a mean less than 38.P(M<38) =Enter your answers as numbers accurate to 4 decimal places.> Next Question

The normal distribution is the most useful theoretical distribution for continuous…

Answered: A leading magazine (like Barron's)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher polled a sample of 1087 adults in the year 2010 , asking them how many hours per week they spent on the Internet. The sample mean was 10.49 with a standard deviation of 14.21 . A second sample of 1046 adults was taken in the year 2012 . For this sample, the mean was 9.45 with a standard deviation of 13.89 . Assume these are simple random samples from populations of adults. Can you conclude that the mean number of hours per week spent on the Internet differs between 2010 and 2012 ? Let μ1 denote the mean number of hours spent on the Internet in 2010 . Use the =α0.10 level and the P -value method with the TI-84 calculator.
A particular fruit's weights are normally distributed, with a mean of 648 grams and a standard deviation of 16 grams. If you pick 5 fruits at random, then 19% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 177000 dollars. Assume the standard deviation is 43000 dollars. Suppose you take a simple random sample of 83 graduates. Find the probability that a single randomly selected salary that doesn't exceed 181000 dollars. Answer = Find the probability that a sample of size 83 is randomly selected with a mean n that that doesn't exceed 181000 dollars. Answer = Enter your answers as numbers accurate to 4 decimal places.
A particular fruit's weights are normally distributed, with a mean of 781 grams and a standard deviation of 38 grams. If you pick 25 fruits at random, then 9% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 284 grams and a standard deviation of 32 grams.If you pick 17 fruits at random, then 11% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 794 grams and a standard deviation of 21 grams.If you pick 5 fruits at random, then 14% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 442 grams and a standard deviation of 35 grams. If you pick 9 fruits at random, then 10% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.
in a test of a lifelong brand of tires , a survey revealed that the mean life was 35,000 mikes and the standard deviation was 7083 mikes. if the shape of the population distribution is known to be normal, approximately what percentage of the tires lasts less than 20834 miles ?
A particular fruit's weights are normally distributed, with a mean of 585 grams and a standard deviation of 18 grams.If you pick 15 fruits at random, then 17% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 696 grams and a standard deviation of 25 grams. If you pick 26 fruits at random, then 4% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 613 grams and a standard deviation of 19 grams.If you pick 20 fruits at random, then 11% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.

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