When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attainapproximately 60% of his or her maximum heart rate. For 20-year-olds, this rate is approximately 120bpm. A simple random sample of thirty 20-year-olds was taken, and the sample mean was found to be107 bpm, with a standard deviation of 45 bpm. Researchers wonder if this is evidence to concludethat the expected level is actually lower than 120 bpm.Based on your decision, what is the conclusion of the test?O There is statistical evidence to conclude that the expected level is lower than 120 bpm.O There is no statistical evidence to conclude that the expected level is lower than 120 bpm.O We accept the null hypothesis and reject the alternative hypothesisO Data prove that the expected level is lower than 120 bpm

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Answered: When engaging in weight-control…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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At one college, GPA's are normally distributed with a mean of 3 and a standard deviation of 0.6. Fill in the blanks, 99.7% of GPAs are between ____ and ____. A. 1.8, 4.2 B. 3, 3.6 C. 2.4, 3.6 D. 1.2, 4.8
EXPERIMENT 1: A researcher believes that on average women weigh less today than during the renaissance period around the 15th to 16th centuries. To investigate this belief, a random sample of 41 adult wômen is chosen and their weights are recorded. The mean weight of the sample is 111 pounds with a standard deviation of 12.4 pounds. Based on historical records and paintings of women from the renaissance, it is determined that the average weight of an adult women from that period would have been about 115 pounds.
Supposed the price of paid apps for a certain category is normally distributed with the mean of $3.5 and a standard deviation of $1. Based on the empirical rule, approximately 95% of the apps in that category will have the price between which two values (centred around the mean)?
Many scientists are concerned about changes in the ice thickness due to global warming. Suppose the historical mean thickness of the ice just off the coast of Barrow, Alaska, is 3.32 meters. A recent random sample (n = 28) of the ice thickness near Barrow was obtained. The sample mean ice thickness is 4.036 meters, sample standard deviation s = 2.8 meters. Assume the underlying distribution is normal. Conduct a hypothesis test to determine whether there is any change in the mean ice thickness. Use a = 0.01. Solve by both P-value method and reject region method.
QUESTION 1 A health researcher read that a 150-pound college-aged, male can burn an average of 530 calories per hour playing tennis with a standard deviation of 25 calories. 40 college-aged males were randomly selected at a commuter school and the mean number of calories burned per hour playing tennis was 540 calories. Do college-aged male tennis players at the commuter school burn more calories per hour than the college-aged, male tennis player population? Test with a 0.05 significance level. What are the hypotheses? Null and Alternate
An article in the National Geographic News ("U.S. Racking Up Huge Sleep Debt." February 24, 2005) argues that Americans are increasingly skimping on their sleep A researcher in a small Midwestern town wants to estimate the mean weekday sleep time of its adult residents. He takes a random sample of 80 adult residents and records their weekday mean sleep time as 6.4 hours. Assume that the population standard deviation is fairly stable at 1.8 hours. [You may find it useful to reference the z table.) a. Calculate the 95% confidence interval for the population mean weekday sleep time of all adult residents of this Midwestem town (Round intermediote calculations to at least 4 decimal places. Round "z" volue to 2 decimol places and final answers to 2 decimal places.) Confidence interval to b. Can we conclude with 95% contfidence that the mean sleep time of all adult residents in this midwestern town is not 7 hours? O Yes, since the confidence interval contains the value 7 O Yes, since the…
Question 4
I wanted to do a market research study estimating the average hourly wage earned by childcare workers in the bay area. How large does my sample need to be in order to have a margin of error that is less than $0.50 with a 95% confidence in the result. Assume that the standard deviation of the wages is $2 per hour.
A doctor is using a growth chart for baby girls that indicates a 12-month-old baby girl has a mean weight of 21.1 pounds with a standard deviation of about 2.29 pounds. Assume that the weights are approximately normally distributed. What proportion of 12-month-old baby girls weigh between 19.62 and 22.17 pounds?
In a study on the physical activity of young adults, pediatric researchers measured overall physical activity as the total number of registered movements (counts) over a period of time and then computed the number of counts per minute (cpm) for each subject. The study revealed that the overall physical activity of obese young adults has a mean of μ = 325 cpm and a standard deviation of a = 90 cpm. In a random sample of n = 100 obese young adults, consider the sample mean counts per minute, x. Click the icon to view the table of normal curve areas. a. Describe the sampling distribution of x. Find μ. Find o-. X 0-= (Type an integer or a decimal.) Describe the shape of the sampling distribution of x. ✩ OA. Skewed right OB. Approximately normal OC. Skewed left b. What is the probability that the mean overall physical activity level of the sample is between 300 and 310 cpm? P(300 ≤x≤310) = (Round to four decimal places as needed.) c. What is the probability that the mean overall physical…
The salary of a recent graduate from a northeast university with an MBA follows a normal distribution with a mean starting salary of $78,000 with a standard deviation of $15,000. You apply the normal model and discover that approximately 7.1% receive a starting salary of more than $100,000. A university administrator surveyed a random sample of 450 of their recent graduates that earned an MBA. How many of these graduates would you expect to receive a starting salary of more than $100,000? Explain.

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