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 ) = 0.25. (HINT: use inverse probability).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Education professionals refer to science, technology, engineering, and mathematics as 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 freshmen is selected.

Let \( \hat{p} \) 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: \( \mu_{\hat{p}} = \) [Select]

b) The standard deviation of the sample proportion of high school graduates that have expressed interest in STEM is: \( \sigma_{\hat{p}} = \) [Select]. 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 \( P(\hat{p} > 0.45) = \) [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. \( P(\hat{p} <?) = 0.25 \). (HINT: use inverse probability.)
Transcribed Image Text:Education professionals refer to science, technology, engineering, and mathematics as 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 freshmen is selected. Let \( \hat{p} \) 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: \( \mu_{\hat{p}} = \) [Select] b) The standard deviation of the sample proportion of high school graduates that have expressed interest in STEM is: \( \sigma_{\hat{p}} = \) [Select]. 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 \( P(\hat{p} > 0.45) = \) [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. \( P(\hat{p} <?) = 0.25 \). (HINT: use inverse probability.)
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