Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 76 subjects went on a low-carbohydrate diet for sixmonths. At the end of that time, the sample mean weight loss was 4.6 kilograms with a sample standard deviation of 7.07 kilograms. A second sample of 78subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.83 kilograms. Can you conclude that the meanweight loss of subjects having low-carb diets is greater than the mean weight loss of subjects having low-fat diets? Let u, denote the mean weight lost on thelow-carb diet and ₂ denote the mean weight lost on the low-fat diet. Use the a= 0.01 level and the TI-84 Plus calculator.Part: 0 / 4Part 1 of 41441State the appropriate null and alternate hypotheses.B>DO=OHo:H₁:HiP₂This hypothesis test is a (Choose one) test.ロ<ロ

The provided information is x¯1=4.6s1=7.07n1=76x¯2=2.6s2=5.83n1=78α=0.01 Part 1 of…

Answered: Low-fat or low-carb? Are low-fat diets…

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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The mean Math ACT score was 20.5, with a standard deviation of 5.5. Sarah scored a 26 on the Math ACT. According to the empirical rule, what percent of students taking the Math ACT scored higher than Sarah? O 5.5% O 16% O 84% O 2.5%
What is the sample standard deviation?
Maple trees in a large forest have heights that are normally distributed with a mean of 95 feet and a standard deviation of 4.7 feet. One tree has a height of 92 feet. What is the Z-score of this height?
Does the sample size ? affect the standard deviation of all possible samplemeans? Explain your answer.
A study that looked at beverage consumption used sample sizes that were much smaller than previous national surveys. One part of this study compared 20 children who were 7 to 10 years old with 5 who were 11 to 13. The younger children consumed an average of 8.5 oz of sweetened drinks per day while the older ones averaged 14.5 oz. The standard deviations were 10.9 oz and 8.5 oz respectively.Use younger children as population 1. (a) Do you think that it is reasonable to assume that these data are Normally distributed? Explain why or why not. (Hint: Think about the 68-95-99.7 rule.) O The distributions appear to be Normal according to the 68-95-99.7 rule. We can see that the groups have means and standard deviations, two characteristics of Normal distributions. O The 68-95-99.7 rule suggests that the distributions are not Normal. If they were, we would expect some of the children to drink negative amounts of sweetened drinks, which does not make sense. (b) Using the methods in this…
Average adult Americans are about one inch taller but nearly a whopping 25 pounds heavier than they were in 1960, according to a report from the Centers for Disease Control and Prevention (CDC). City A is considered one of America's healthiest cities. Is the weight gain since 1960 similar in city A? A sample of n=25 adults suggested a mean increase of 22 pounds with a standard deviation of 9.4 pounds. Is City A significantly different in terms of weight gain since 1960? Complete and interpret 5 step hypothesis testing by hand at a 5% level of significance using a Z-test. Show each step and your work.
According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. These hours are normally distributed. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
The average home in the US is expected to cost $240,000. A random sample of 56 homes sold this month showed average price of $232,000. Assume you have access to this data. We are interested in determining cost if the cost of average home has decreased this month. If the test statistic is -1.66 what is the p-value?
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?
Suppose we know that the aspirin content of aspirin tablets follows a Normal distribution with standard deviation of o= 5 mg.
What percent of people paid over $17,100?
Low-fat or low-carb? Are low-fat diets more effective for weight loss? A sample of 46 subjects went on a low carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.6 kilograms with a sample standard deviation of 6.28 kilograms. A second sample of 49 subjects went on a low-fat diet. Their sample mean weight loss was 2.3 kilograms with a standard deviation of 4.66 kilograms. Can you conclude that the mean weight loss differs between the two diets? Let μ1 denote the mean weight lost on the low-carb diet and μ2 denote the mean weight lost on the low-fat diet. Use the =α0.01level and the P-value method. Compute the test statistic. Round the answer to three decimal places. t =

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