b) Pearl E. Gates has a test score called S. If another child in the class is picked at random, the probability thatthe other child has a score higher than Pearl is 0.68. Find Pearl's test score.2) The average weekly earnings of the plumbers in a city is $748 with a population standard deviation of $21.Assume that we select a random sample of 53 plumbers.a) What is the sampling distribution of the mean weekly earnings of plumbers?(i.e. What is the sampling distribution of x?)b) Find the probability that the sample mean weekly earnings will be between $740 and $745.

(a) The sampling distribution of the mean weekly earnings of plumbers is obtained below as follows:…

Answered: 2) The average weekly earnings of the…

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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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 254 feet and a standard deviation of 43 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet? P(more than 216 feet) =
3. In a job fair, 3 000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years. a) Draw a normal curve distribution showing the z-scores and the raw scores. b) How many applicants are below 20 years old? c) How many applicants are above 32 years old? d) How many have ages between 24 and 32 years? ·e) Find the ages such that 75% is below it. 5. Five hundred children participated in a field demonstration. Their heights averaged 110 cm with standard deviation of 6 cm. a) What is the probability that a child, picked at a random, has a height greater than 116 cm? b) What is the probability that the height of a child picked at a random, is less than 104 cm. c) How many children belong to the upper 15% of the group?
The distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.
The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 258 people. a) Complete the table. Age Number of people 18 54 19 69 20 70 21 (b Find the mean for this sample. Give your answer to at least 2 decimal places. (c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
1. In a distribution of six scores, the deviations from the mean for five of the scores are +5, +3, +1, 0, and-3.What is the value of the deviation for the sixth score? 2. On the midterm exam in their anthropology course, Jan’s deviation score was +5, Kim’s was -12, andLeslie’s was 0.a) of these three, who did the best and who did the worst?b) the mean for the class was 80. What was the raw score for Jan, Kim, and Leslie?
/
Solve the following by concept of normal distribution and graph clearly. Show your complete solution and write clearly and readable. Thank you. In a job fair, 3000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years. A.) draw a normal curve distribution showing the z scores and raw scores. B.) Find the age such that 75% are below it. (Normal curve in letter A is the normal curve for letter B).
A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 73 and a standard deviation of 8. Calculate: a.the percentage of students scored between 75 and 90 ( using Rstudio) b.the test score higher than what grade if only 5% of the students taking the test (manually and using R studio)
A normal distribution of scores has a standard deviation of 10 and a mean of 0. Find the z-scores corresponding to each of the following values: a) A score that is 20 points above the mean. b) A score that is 10 points below the mean. c) A score that is 15 points above the mean d) A score that is 30 points below the mean. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. a. Convert Einstein’s IQ score to a z score.
1. The average salary of senior high school teachers is P 21,200. Assume a normal distribution with standard deviation of P 2,500. What is the probability that the mean for a sample of 36 teachers salaries is less than P20,000?
III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.

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