Problem I. The administrator of a physical therapy facility has found that postoperative performance scores on a knee flexibility test have tended to follow a normal distribution with a standard deviation of 4. For a simple random sample of 10 patients who have recently had knee surgery, the scores are: 101, 92, 94, 88, 52, 93, 76, 84, 72, 98 1. What is the point estimate for: a. 4 the mean postoperative knce flexibility rating? la. b. o, the standard deviation for the knee flexibility rating? lb. 2. What is the standard error? onateil to 2. 3. What is the appropriate yalue of the z for a 95% confidence interval? 3. 4. What are the lower and upper bounds for the 95% confidence interval on the mean? Upper bound: Lower bound:

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Name:
California State University, Fresno
DS 123
Class Work #4
Problem I. The administrator of a physical therapy facility has found that postoperative performánce scores on
a knee flexibility test have tended to follow a normal distribution with a standard deviation of 4. For a simple
random sample of 10 patients who have recently had knee surgery, the scores are:
101, 92, 94, 88, 52, 93, 76, 84, 72, 98
1. What is the point estimate for:
a. , the mean postoperative knee flexibility rating?
la.
b. o, the standard deviation for the knee flexibility rating?
lb.
2. What is the standard error?
Iev
2.
e them
3. What is the appropriate yalue of the z for a 95% confidence interval?
3.
4. What are the lower and upper bounds for the 95% confidence interval on the mean?
Upper bound:
Lower bound:
d8 goitesop n
ounlenoo nog fsvini comabitnoo adi lo nódernalni ledareavio
Problem II. Every February 2, crowds gather at Gobbler's Knob, in Punxsutawney, Pennsylvania, where a
groundhog, Punxsutawney Phil, is about to make the most celebrated weather forecast of the year. Has spring
sprung when Phil emerges from his burrow and doesn't see his shadow? Or should he scurry back into his
burrow for six more weeks of winter weather if skies are clear and fair? Below is a table showing Phil's record
from 1988 through 2004.
U.S. NATIONAL
TEMPERATURE VERDICT
Above
YEAR
SHADOW
2004
2003
YES
Wrong
Wrong
Wrong
Wrong
Wrong
Correct
YES
Confeelnce mfenal
Above
2002
YES
Above
2001
YES
Above
2000
1999
YES
NO
Above
Above
Above
Above
1998
1997
YES
Wrong
Correct
17-1
NO
1996
YES
Above
Above
Wrong
Correct
1995
NO
1994
YES
Below
Corect
1993
1992
1991
YES
Below
Above
Above
Above
Correct
Wrong
Wrong
Correct
Corect
YES
YES
1990
NO
1989
1988
YES
Below
NO
Below
Wrong
Transcribed Image Text:Name: California State University, Fresno DS 123 Class Work #4 Problem I. The administrator of a physical therapy facility has found that postoperative performánce scores on a knee flexibility test have tended to follow a normal distribution with a standard deviation of 4. For a simple random sample of 10 patients who have recently had knee surgery, the scores are: 101, 92, 94, 88, 52, 93, 76, 84, 72, 98 1. What is the point estimate for: a. , the mean postoperative knee flexibility rating? la. b. o, the standard deviation for the knee flexibility rating? lb. 2. What is the standard error? Iev 2. e them 3. What is the appropriate yalue of the z for a 95% confidence interval? 3. 4. What are the lower and upper bounds for the 95% confidence interval on the mean? Upper bound: Lower bound: d8 goitesop n ounlenoo nog fsvini comabitnoo adi lo nódernalni ledareavio Problem II. Every February 2, crowds gather at Gobbler's Knob, in Punxsutawney, Pennsylvania, where a groundhog, Punxsutawney Phil, is about to make the most celebrated weather forecast of the year. Has spring sprung when Phil emerges from his burrow and doesn't see his shadow? Or should he scurry back into his burrow for six more weeks of winter weather if skies are clear and fair? Below is a table showing Phil's record from 1988 through 2004. U.S. NATIONAL TEMPERATURE VERDICT Above YEAR SHADOW 2004 2003 YES Wrong Wrong Wrong Wrong Wrong Correct YES Confeelnce mfenal Above 2002 YES Above 2001 YES Above 2000 1999 YES NO Above Above Above Above 1998 1997 YES Wrong Correct 17-1 NO 1996 YES Above Above Wrong Correct 1995 NO 1994 YES Below Corect 1993 1992 1991 YES Below Above Above Above Correct Wrong Wrong Correct Corect YES YES 1990 NO 1989 1988 YES Below NO Below Wrong
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