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The Medical Rehabilitation Education Foundation reports that the average cost of rehabilitation for stroke victims is $24,672. To see if the average cost of rehabilitation is different at a particular hospital, a researcher selects a random sample of 35 stroke victims at the hospital and finds that the average cost of their rehabilitation is $26,343. The standard deviation of the population is $3251. At a = 0.01, can it be concluded that the average cost of stroke rehabilitation at a particular hospital is different from $24,672?

The Medical Rehabilitation Education Foundation reports that the average cost of rehabilitation for stroke victims is $24,672. To see if the average cost of rehabilitation is different at a particular hospital, a researcher selects a random sample of 35 stroke victims at the hospital and finds that the average cost of their rehabilitation is $26,343. The standard deviation of the population is $3251. At a = 0.01, can it be concluded that the average cost of stroke rehabilitation at a particular hospital is different from $24,672?

MATLAB: An Introduction with Applications
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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PLEASE COMPLETE STEP 1-5.
Use the traditional method of hypothesis testing. Complete the step 1-5. 1. The average production of peanuts in Antipolo City is 3000 pounds per a e. A new plant food has been developed and is tested on 60 individual plots of land. The mean yield with the new plant food is 3120 pounds of peanute per acre, and the population standard deviation is 578 pounds. At a = 0.05 can you conclude that the average production has increased? 2. The Medical Rehabilitation Education Foundation reports that the average cost of rehabilitation for stroke victims is $24,672. To see if the average cost of rehabilitation is different at a particular hospital, a researcher selects a random sample of 35 stroke victims at the hospital and finds that the average cost of their rehabilitation is $26,343. The standard deviation of the population is $3251. At a = 0.01, can it be concluded that the average cost of stroke rehabilitation at a particular hospital is different from $24,672? 3. The Family and Medical Leave Act provides job protection and unpaid time off from work for a serious illness or birth of a child. In 2000, 60% of the respondents of a survey stated that it was very easy to get time off for these circumstances. A researcher wishes to see if the percentage who said that it was very easy to get time off has changed. A sample of 100 people who used the leave said that 53% found it easy to use the leave. At a = 0.01, has the percentage changed? 4. It has been found that 85.6% of all enrolled college and university students in the United States are undergraduates. A random sample of 500 enrolled college students in a particular state revealed that 420 of them were undergraduates. Is there sufficient evidence to conclude that the proportion differs from the national percentage? Use a = 0.05. 5. A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults. A sample of 15 joggers has a mean of 40.6 milliliters per kilogram (ml/kg) and a standard deviation of 6 ml/kg. If the average of all adults is 36.7 ml/kg, is there enough evidence to support the physician's claim at a = 0.05? 6. The average 1-ounce chocolate chip cookie contains 110 calories. A random sample of 15 different brands of 1-ounce chocolate chip cookies resulted in the following calorie amounts. At the a = 0.01 level, is there sufficient evidence that the average calorie content is greater thanm110 calories? 100 125 150 125 155 140 150 145 135 160 160 120 185 100 110
Transcribed Image Text:Use the traditional method of hypothesis testing. Complete the step 1-5. 1. The average production of peanuts in Antipolo City is 3000 pounds per a e. A new plant food has been developed and is tested on 60 individual plots of land. The mean yield with the new plant food is 3120 pounds of peanute per acre, and the population standard deviation is 578 pounds. At a = 0.05 can you conclude that the average production has increased? 2. The Medical Rehabilitation Education Foundation reports that the average cost of rehabilitation for stroke victims is $24,672. To see if the average cost of rehabilitation is different at a particular hospital, a researcher selects a random sample of 35 stroke victims at the hospital and finds that the average cost of their rehabilitation is $26,343. The standard deviation of the population is $3251. At a = 0.01, can it be concluded that the average cost of stroke rehabilitation at a particular hospital is different from $24,672? 3. The Family and Medical Leave Act provides job protection and unpaid time off from work for a serious illness or birth of a child. In 2000, 60% of the respondents of a survey stated that it was very easy to get time off for these circumstances. A researcher wishes to see if the percentage who said that it was very easy to get time off has changed. A sample of 100 people who used the leave said that 53% found it easy to use the leave. At a = 0.01, has the percentage changed? 4. It has been found that 85.6% of all enrolled college and university students in the United States are undergraduates. A random sample of 500 enrolled college students in a particular state revealed that 420 of them were undergraduates. Is there sufficient evidence to conclude that the proportion differs from the national percentage? Use a = 0.05. 5. A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults. A sample of 15 joggers has a mean of 40.6 milliliters per kilogram (ml/kg) and a standard deviation of 6 ml/kg. If the average of all adults is 36.7 ml/kg, is there enough evidence to support the physician's claim at a = 0.05? 6. The average 1-ounce chocolate chip cookie contains 110 calories. A random sample of 15 different brands of 1-ounce chocolate chip cookies resulted in the following calorie amounts. At the a = 0.01 level, is there sufficient evidence that the average calorie content is greater thanm110 calories? 100 125 150 125 155 140 150 145 135 160 160 120 185 100 110
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