13. The heights of 1000 students are approximately normally distributed with amean of 174.5 cm and a standard deviation of 6.9 cm. Suppose 200 randomsamples of size 25 are drawn from this population and the means recorded tothe nearest tenth of a centimeter. Determinea) The mean and SD of X mean =.SDb) The number of sample means that fall between 172.5 and 175.8 cminclusive:c) The number of samples means that fall below 172 cm.

a) The expectation and standard deviation of the sampling distribution of the sample mean are as…

Answered: 13. The heights of 1000 students are…

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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8. Suppose the length of the newborn babies in a community is normally distributed with an average of 50 cm and a standard deviation of 3cm. If a newborn baby's length is 95th percentile, find the length in cm.
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For the study purpose, the mean of the observations is 148 gm and standard deviation is 17.4 gm. Approximately, the coefficient of variation equals to: А. 11 С. 12 В. 14 D. 13
4. The variance of a data set is 3410.56. Find the standard deviation for the data set. This ample of
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4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be changed. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed? JTM
3.) A population has a mean of 300 and a variance of 80. If we get 160 samples from this population, what wili be the mean and standard deviation of the sampling distribution of sample mean? A.) Hg = 300 and og =0.53 B.) µg = 300 and og =0.71 C.) µg = 300 and og =6.32 D.) µg = 300 and og =80 %3D %3D
Solve step by step in digital format Suppose that the average income of the engineers hired at REDUNO presents an approximately normal behavior with a mean of $17,000 pesos and a standard deviation of $3,000 pesos. a) What percentage of the employees will have incomes greater than $20,000 pesos?b) In a random sample of 50 employees, about how many people can be expected to have incomes of less than $15,000 pesos?
6. A distribution with a µ = 55 and o = 6 is standardized so that the new mean and standard deviation will be u = 50 and o = 10. When the new distribution is standardized, what value will be obtained for a score of x = 52 from the original distribution? a. X= 45 b. X = 47 C. X= 52 d. X = 53
30. The distribution of weights for 12-month-old baby girls in the US is ap- proximately normal with mean u = 21 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old girl weighs 23.2 pounds, approximately what weight percentile is she in? b) If a 12-month-old girl is in the 16th percentile in weight, estimate her weight. c) Estimate the weight of a 12-month-old girl who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old girl who is in the 75th percentile by weight.
1. A group of 500 volunteers recorded an average age of 21.5 years and standard deviation of 9.6 years. Assumed the distribution is normally distributed. d) If 2.5% of the volunteers are older than Shirley how old is she? e) Between what ages is the middle 40% of the volunteers?

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