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.Given your conclusion, are you at risk of making a Type I error or Type Il error?O Type IIIType IINone of the aboveO Type I

Given that the population mean is 120. The sample size is 30. The sample mean is 107. The standard…

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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Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7.16 kilograms. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.90 kilograms. Can you conclude that the mean weight loss differs between the two diets? Let 4, denote the mean weight lost on the low-carb diet and u, denote the mean weight lost on the low-fat diet. Use the a = 0.01 level and the TI-84 Plus calculator. Compute the -value. Round the answer to four decimal places. Determine whether to reject H0 State a conclusion
On the PSAT test taken by about 1.5 million high school juniors each year, the mean score on the reading portion of the test was 46.9, with a standard deviation of 10.9. The scores are normally distributed. If a student needed a score on this portion of the test that put them in the top 5% of scores nationally to qualify for a particular scholarship, what is the minimum score they must achieve?
The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is more than $35,000?
An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117. What proportion of students earned scores between 500 and 600 on the SAT math test?
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.
Many psychologists are concerned that the average level of anxiety in children has increased over the past 40 years. In the 1980s, the population average score on the Child Manifest Anxiety Scale (CMAS) was 15.1. In 2021, a random sample of 101 children was tested with CMAS. The mean for the sample was 16.1 with the standard deviation of 4. Is there enough evidence to claim that there has been a significant change in the average level of anxiety since the 1980s? Conduct the appropriate statistical test (two- tailed) with a = .05. Based on the estimated Cohen's d, the magnitude of change in the average level of anxiety since the 1980s could best be qualified as: O Very large O Large O No change OSmall
If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what is P85?
a mathematics assessment test has a mean score of 100 points with a standard deviation of 10 points. what does a person have to be in the top 2.5% of people who have completed the exam? (Assume a normal distribution).

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