**Salaries of 32 college graduates who took a statistics course in college have a mean, $ \bar{x} $, of $61,600. Assuming a standard deviation, $ \sigma $, of $11,936, construct a 99% confidence interval for estimating the population mean $ \mu $.**- [Click here to view a t distribution table.](#)- [Click here to view page 1 of the standard normal distribution table.](#)- [Click here to view page 2 of the standard normal distribution table.](#)\[ \$\_\_ \leq \mu \leq \_\_ \, \text{(Round to the nearest integer as needed.)} \]

Measure of central tendency measures the central or average value of a dataset. Measured of…

Answered: Salaries of 32 college graduates who…

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 woman insists that she will never marry a man as short as or shorter than she, knowing that only one man in 5000 falls into this category. Assuming a mean height of 70 inches for men with a standard deviation of 2.4 inches (and a normal distribution), approximately how tall is this woman? Click the icon to view the z-scores and percentiles table. O z-Scores and Percentiles Table This woman is inches tall. (Round to the nearest whole number as needed.) z-Scores and Percentiles z-Score Percentile z-Score Percentile z-Score Percentile z-Score Percentile -4.0 0.003 -1.0 15.87 0.0 50.00 1.1 86.43 -3.5 0.02 -0.95 17.11 0.05 51.99 1.2 88.49 -3.0 0.13 -0.90 18.41 0.10 53.98 1.3 90.32 -2.9 0.19 -0.85 19.77 0.15 55.96 1.4 91.92 -2.8 0.26 -0.80 21.19 0.20 57.93 1.5 93.32 -2.7 0.35 -0.75 22.66 0.25 59.87 1.6 94.52 -2.6 0.47 -0.70 24.20 0.30 61.79 1.7 95.54 -2.5 0.62 -0.65 25.78 0.35 63.68 1.8 96.41 -2.4 0.82 -0.60 27.43 0.40 65.54 1.9 97.13 -2.3 1.07 -0.55 29.12 0.45 67.36 2.0 97.72 -2.2 1.39…
According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a standard deviation of $7000. Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn at least $45,000. Round answer to at least 4 decimal places.
Time to Complete Final Exam. The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions. Assume that 20% of students did not complete the exam. What was the exam duration?
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 230 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 310 mg of caffeine daily? Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING... Question content area bottom Part 1 Of the 600 adults, approximately enter your response here adults consume at least 310 mg of caffeine daily.
A normal distribution has a mean of 62 and a standard deviation of 17. What is the median?
A company selling a new type of laptop battery advertises that it has a méan lifetime of 5 years. If you were in charge of quality control at the factory, which one of the following standard deviations of battery life spans would you prefer? 2 months. O 2 years O 5 years 27
The typical amount of sleep per night for college graduate students has a normal distribution with a mean of 5 hours. What is the standard deviation of this distribution if 16% of students sleep more than 6.5 hours? A. -1.52 B. -1.55 C. 1.52 D. 1.55
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
A data set includes 106 body temperatures of healthy adult humans having a mean of 98.9°F and a standard deviation of 0.63°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature? Click here to view a t distribution table. LOADING... Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING... Question content area bottom Part 1 What is the confidence interval estimate of the population mean μ? enter your response here°F<μ<enter your response here°F (Round to three decimal places as needed.)
The playing life of a Sunshine radio has a Normal distribution with a mean of 600 hours and a standard deviation of 100 hours. What time frame would be considered unusual? What rule did you use to decide this?
Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.05 to test for a difference between the weights of discarded paper (in pounds) and weights of discarded plastic (in pounds). LOADING... Click the icon to view the data. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the weight of discarded paper minus the weight of discarded plastic for a household. What are the null and alternative hypotheses for the hypothesis test? A. H0: μd≠0 H1: μd>0 B. H0: μd=0 H1: μd<0 C. H0: μd=0 H1: μd≠0 D. H0: μd≠0 H1: μd=0 Household Paper Plastic 1 6.44 8.40 2 7.72 3.86 3 3.27 0.63 4 9.19 3.74 5 14.33 6.43 6 11.08 12.47 7…
z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?

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