A surgical team has developed a new technique for an eye operation. Under the old method it is known that only 30% of the patients will recover full vision. Using the new technique, 88 out of 225 patients have recovered full sight. Test the hypothesis that the new method has a better success rate than the old, using a 1% level of significance.
A surgical team has developed a new technique for an eye operation. Under the old method it is known that only 30% of the patients will recover full vision. Using the new technique, 88 out of 225 patients have recovered full sight. Test the hypothesis that the new method has a better success rate than the old, using a 1% level of significance.
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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5. A surgical team has developed a new technique for an eye operation. Under the old method it is known that only 30% of the patients will recover full vision. Using the new technique, 88 out of 225 patients have recovered full sight. Test the hypothesis that the new method has a better success rate than the old, using a 1% level of significance.

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3. Child development researchers designed an experiment in which one twin in each pair spent two hours a day in
a room well supplied with "educational" toys (experimental condition). The other twin in each pair spent the
same time in a room with "non-educational" toys (control condition). For each child, they recorded the age (in
months) when the child started reading at a primary level. The results were:
Twins, Toys, and Reading Age
Twin Pair #
Experimental
group (reading
age)
Control group
(reading age)
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C
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53
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4. Allie, a veterinarian who examines prize bulls, starts by giving them tranquilizer shots. The shot is supposed to
last an average of 65 minutes, and it usually does. However, Allie hates being chased by a bull who wakes up
too soon, and worries about bulls that take too long to recover. A journal article says that the shots have a
standard deviation of 15 minutes. A random sample of 10 of Allie's bulls had a standard deviation of 24
minutes. At the 1% level of significance, is Allie justified in claiming that the variance is larger than the article
says?
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Choose TWO of the following five problems and write out a COMPLETE hypothesis test for each one. Include null
and alternative hypotheses, level of significance, distribution to be used (with a sketch showing p-areas or critical
regions), the critical value and test statistic (if you are using that method) and/or the p-value (if you are using that
method). JUST TWO OF THEM!
1. A CEO wants to know whether management style affects the number of sick days taken by employees. Three
departments were studied, all having the same number of employees but different management styles. For a
random sample of three months, the numbers of sick days were as follows:
Employee Sick Days for Three Management Styles
Quality control teams Informal employee input
Top-down management
19
16
12
14
28
18
What would you tell the CEO? Make sure to state your null and alternate hypotheses, sketch the appropriate
distribution and the critical region, showing the critical value and the value of the test statistic, and explain your
conclusion. Use a 5% level of significance. (Assume that the distributions are normal and have approximately the
same population standard deviations.)
2. Pro football players earn huge salaries, but they have short professional careers. One sports magazine reported
that the average career length is 4.3 years. A random sample of 40 retired players showed a sample mean
career length of 5.2 years. We will accept the magazine's value for the population standard deviation = 2.3
years. Based on these data, is the population mean career length higher than the value reported in the
magazine? Use a 5% level of significance.
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