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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A study is done to determine if Company A retains its workers longer than Company B. The populations are
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- Researchers are interested in the effect of pet companionship on depression in elderly adults. They randomly select 25 participants from the target population and record their depression scores before and after spending a month with a dog (a higher score indicates a higher level of depression). The researchers then compute the difference scores for each participant (difference after before). The mean of differences is - 1 and the standard deviation of differences is 2. Can the researchers conclude that there is an effect of pet companionship on depression in elderly adults? Conduct the appropriate statistical test (two-tailed) with a = .05. Based on the information provided above, which statistical test seems most appropriate? one sample t test O z test independent samples t test O dependent samples t testarrow_forwardThe lifetimes of a certain brand of battery are assumed to be normally distributed with a mean of 405 hours. Find the standard deviation of these battery lifetimes, if 90% of these batteries do not achieve a lifetime of 411 hours.arrow_forwardIt appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 365 minutes and standard deviation 69 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 528 minutes and standard deviation 106 minutes. A researcher records the minutes of activity for an SRS of 66 mildly obese people and an SRS of 66 lean people. James A. Levine et al., "Inter-individual variation in posture allocation: Possible role in human obesity," Science, 307 (2005), pp. 584-586. What is the probability that the mean number of minutes of daily activity of the 66 mildly obese people exceeds 420 minutes? Give your answer to four decimal places. probability: What is the probability that the…arrow_forward
- The length of students' college careers at Anytown University is known to be normally distributed, with a mean length of 5.5 years and a standard deviation of 1.75 years. What is the lower quartile for the length of students' careers at Anytown University?arrow_forwardA survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with mean 69.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. What's the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park?arrow_forwardA sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 12 footballs were filled with helium to the recommend pressure and 15 footballs were filled with air to the recommended pressure. The mean yardage for the helium filled footballs was 267 yards with a standard deviation of 3 yards. The mean yardage for the air filled footballs was 241 yards with a standard deviation of 5 yards. Assume the populations are normal with equal variances. (a). Construct a 99% confidence interval for the mean difference in in yardage for the two types of footballs Lower bound (use 3 decimal places) Upper bound (use 3 decimal places) (b). What can you conclude about the sports writer's idea that helium footballs travel farther, on average? The helium footballs are no different than the other footballs, on average The other footballs travel farther on average than the helium footballs The helium footballs travel farther on average than the…arrow_forward
- A survey found that women's heights are normally distributed with mean 63.9 in. and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with mean 69.5 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 64 in. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?arrow_forwardIt appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 371 minutes and standard deviation 69 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 526 minutes and standard deviation 106 minutes. A researcher records the minutes of activity for an SRS of 6 mildly obese people and an SRS of 6 lean people. (a) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes? (Enter your answer rounded to four decimal places.) probability: 0.0256 Incorrect (b) What is the probability that the mean numberpof minutes of daily activity of the 6 lean people exceeds 410 minutes? (Enter your answer rounded to four decimal…arrow_forward
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