### Candy Bar Consumption Study Among College UndergraduatesResearchers examined the candy bar consumption of college undergraduates and found that males ate candy bars significantly more often than females. Assume that the overall level of consumption for college **male** undergraduates averages μ = 35 ounces of candy bars per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 15.To investigate this phenomenon, a researcher selects a random sample of n = 9 females and finds they ate an average of 21 ounces per month.**Question:** Did this sample of females eat significantly fewer ounces of candy bars than their male counterparts?**Statistical Significance Test:** Use alpha = 0.01 two-tailed.### Potential Answers:- **no, p > 0.01 two-tailed**- **yes, p > 0.01 two-tailed**- **no, p < 0.01 two-tailed**- **yes, p < 0.01 two-tailed**Please select the appropriate option based on your analysis.

Answered: Image /qna-images/answer/6c610afe-40e5-4584-853d-a744c4bec920.jpg

Answered: Researchers examined the candy bar…

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 water usages in American showers are normally distributed, with an average shower using 16.4 gallons, and a standard deviation of 3.7 gallons. Estimate the percentage of showers that used between 9 and 23.8 gallons more than 27.5 gallons less than 12.7 gallons between 9 and 20.1 gallons
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
A researcher collected data from Boston police officers and found that on average they spent 14.3 hours on in-service training per year with a standard deviation of 3.2. The department offers bonuses for officers in the top 10 percent on in-service training completed. Would the officer who did 22 hours of training get the bonus?
Suppose that El Camino is studying the average number of hours students study for classes per week. According to research from 2010 El Camino students spent an average of 21 hours a week studying for classes. El Camino wants to study if this average has changed. To do this they take a random sample of 81 current students and find that the average student spent 19.3 hours studying with a standard deviation of 6.4 hours. (Note: You may assume there are approximately 20,000 El Camino students). (a) Carry out a hypothesis test at α = .05 to test the claim that the average number of hours per week that El Camino students study has changed since 2010. (b) Describe what it would mean in this situation to make a Type I error (c) Describe what it would mean in this situation to make a Type II error (d) Construct a 95% confidence interval for the average number of hours studied by El Camino students per week. Make sure to interpret your interval.
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
A nurse is interested in the amount of time patients spend exercising per day. According to a recent study, the daily workout time per adult follows an approximately normal distribution with a mean of 94 minutes and a standard deviation of 27minutes. If the nurse randomly samples patients in her office to analyze their exercise time and gets a standard error of 3minutes, how many patients did she sample?
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.4 and a standard deviation of 1.51. Using the empirical rule, what percentage of American women have shoe sizes that are between 5.38 and 11.42?
A researcher is interested in examining the effect of emotions on those that are convicted of a crime while under the age of 15. She decides to compare the empathy quotient (EQ) scores of those convicted of violent crimes to those convicted of non-violent crimes. A random sample of 35 violent offenders had a mean score of 33.5 and a standard deviation of 3.2, and another sample of 46 non-violent offenders had a mean of 37 and a standard deviation of 3.8. Also, suppose that equal variance cannot be assumed, but the populations are normal. If a higher EQ score indicated increased empathy, construct a 95% confidence interval for the difference in means. What is the critical value? What is the lower bound of the confidence interval? What can she conclude about the difference in empathy between the two groups?

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