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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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)
A
*
3
B
E
C
D
$
58
4
61
53
E
75
6
62
63
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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Transcribed Image Text:Spr x aunch Meeting - Zoom X ccc.edu/courses/191939/quizzes/1457221/take orials sources 2 f2 2 W S X 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) A * 3 B E C D $ 58 4 61 53 E 75 6 62 63 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? a ww 4 hp 14 f5 f7 60 71 R LL do 60 64 52 65 5 f6 T G 6 O D Y & 87 H f8 * D N 00 fg f10 9 M K O V W f12 P > 0 at ins prt- [
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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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Transcribed Image Text:x Launch Meeting - Zoom ccd.edu/courses/191939/quizzes/1457221/take bring utorials Resources @2 x + 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. a bp f3 f4 f5 f10 9 # 34 % A 101 21 15 do f6 5 3 W E R T < 6 & 87 Y f8 * fg 8 D - E f12 F
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