**Statistics: Assignment 18.10****Name:**Suppose that 60% of all students currently enrolled at all California Community College campuses combined are female. Researchers want to do a survey, and randomly select 1000 students who are currently enrolled at CSU campuses. Let $\hat{P}$ represent the proportion of students in the sample who are female.a) What is the expected value of $\hat{P}$?a) ____________________b) What is the standard deviation of the random variable $\hat{P}$?b) ____________________c) Find the probability that less than 58.5% of the students in the sample are female. Use the distribution of $\hat{P}$.c) ____________________d) Find the probability that more than 65% in the sample are female. Use the distribution of $\hat{P}$.d) ____________________e) Find the probability that between 56% and 64% in the sample are female. Use the distribution of $\hat{P}$.e) ____________________f) Use binomcdf( on your calculator to find the probability that between 56% and 64% are female.f) ____________________

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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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Education professionals refer to science, technology, engineering and mathematics a STEM disciplines. A recent ACT Condition and Career Readiness Report states that 47% of high school graduates have expressed interest in a STEM discipline. A random sample of 85 freshman is selected. Let p be the sample proportion of high school graduates that have expressed interest in STEM. a) The mean of the sample proportion of high school graduates that have expressed interest in STEM is: p [Select] b) The standard deviation of the sample proportion of high school graduates that have [Select] expressed interest in STEM is: op Round to three decimal places. c) The probability that the sample proportion of high school graduates that have expressed interest in STEM is above 45% is P(p > 0.45) = [Select] = d) A sample proportion of [Select] is at the 25th percentile of all sample proportions of high school graduates that have expressed interest in STEM. P(p
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1.A personnel manager is employed in a corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.Find the 95th percentile for the mean time to complete one month's reviews. (a) Sketch the graph.(b) Give the 95th Percentile. (Round your answer to two decimal places.)
A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female. a. What is the expected value of X? b. What is the standard deviation of X? c. What is the probability that X is within 2.0 standard deviations of its expected value? d. What is the probability that X = 1.5?
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A survey was conducted to measure the height of Canadian men. In the survey, respondents were grouped by age. In the 20-29 age group, the height was normally distributed, with a mean of 69.2 inches and a standard deviation of 2.9 inches. A study participant is randomly selected. a) Find the probability that his height is less than 66 inches. b) Find the probability that his height is between 66 and 72 inches. c) Find the probability that his height is more than 72 inches. d) Find P10 , the 10th percentile please show all steps using excel formulas

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