AP Stats Free Response - Period 6 Name, Date_ Many people consider Fosco University every ye ar for its large graduate programs (estimated over 7,500 students each year). Fos co University provides housing for 10% of the graduate students on campus. The housing office thinks that the percentage of graduate students looking for campus housing may be more than 10%. The office decides to survey a random sample of graduate students, and 62 of the 481 respondents say that they are looking for housing on campus. (a) With the results of the survey, would you re commend that the Fosco University consider increasing the amount of housing on campus for graduate students? Give the appropriate evidence/test to support your claim. Use a significance level of.05. (b) In addition to the 481 gradua te students who completed the survey, an additional 19 students did not respond. If the 19 responded, would you change your recommendation? Explain and show work.

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AP Stats Free Res ponse - Period 6
Name
Date
Many people consider Fosco University every year for its large graduate programs (estimated over 7,500
students each year). Fos co University provides housing for 10% of the gradua te students on campus. The
housing office thinks that the percentage of graduate students looking for campus housing may be more
than 10%. The office decides to survey a random sa mple of graduate students, and 62 of the 481
respondents say that they are looking for housing on campus.
(a) With the results of the survey, would you recommend that the Fosco U niversity consider
increasing the amount of housing on campus for graduate students? Give the appropriate
evidence/test to support your dlaim. Use a significance level of.05.
(b) In addition to the 481 graduate students who completed the survey, an additional 19 students
did not respond. If the 19 responded, would you change your recommendation? Explain and
show work.
Transcribed Image Text:AP Stats Free Res ponse - Period 6 Name Date Many people consider Fosco University every year for its large graduate programs (estimated over 7,500 students each year). Fos co University provides housing for 10% of the gradua te students on campus. The housing office thinks that the percentage of graduate students looking for campus housing may be more than 10%. The office decides to survey a random sa mple of graduate students, and 62 of the 481 respondents say that they are looking for housing on campus. (a) With the results of the survey, would you recommend that the Fosco U niversity consider increasing the amount of housing on campus for graduate students? Give the appropriate evidence/test to support your dlaim. Use a significance level of.05. (b) In addition to the 481 graduate students who completed the survey, an additional 19 students did not respond. If the 19 responded, would you change your recommendation? Explain and show work.
A large pet store buys the identical species of adult tropical fish from two different suppliers-Buy-Rite Pets
and Fish Friends. Several of the managers at the pet store suspect that the lengths of the fish from Fish Friends
are consistently greater than the lengths of the fish from Buy-Rite Pets. Random samples of 8 adult fish of the
species from Buy-Rite Pets and 10 adult fish of the same species from Fish Friends were selected and the lengths
of the fish, in inches, were recorded, as shown in the table below.
Standard
Length of Fish
Mean
Deviation
Buy-Rite Pets 3.4 2.7 3.3 4.1 3.5 3.4 3.0 3.8
| (n, = 8)
Fish Friends 3.3 29 42 3.1 4.2 4.0 3.4 3.2 3.7 2.6 3.46
| (n, = 10)
3.40
0.434
0.550
Do the data provide convincing evidence that the mean length of the adult fish of the species from Fish Friends
is greater than the mean length of the adult fish of the same species from Buy-Rite Pets?
(a)
Use an alpha of .05 and show all work. Assume data has no heavy skewness or outliers.
(b) Construct a 95% confidence interval for the difference between Fish Friends and Buy-rite fish.
Assume the conditions for inference are met.
Transcribed Image Text:A large pet store buys the identical species of adult tropical fish from two different suppliers-Buy-Rite Pets and Fish Friends. Several of the managers at the pet store suspect that the lengths of the fish from Fish Friends are consistently greater than the lengths of the fish from Buy-Rite Pets. Random samples of 8 adult fish of the species from Buy-Rite Pets and 10 adult fish of the same species from Fish Friends were selected and the lengths of the fish, in inches, were recorded, as shown in the table below. Standard Length of Fish Mean Deviation Buy-Rite Pets 3.4 2.7 3.3 4.1 3.5 3.4 3.0 3.8 | (n, = 8) Fish Friends 3.3 29 42 3.1 4.2 4.0 3.4 3.2 3.7 2.6 3.46 | (n, = 10) 3.40 0.434 0.550 Do the data provide convincing evidence that the mean length of the adult fish of the species from Fish Friends is greater than the mean length of the adult fish of the same species from Buy-Rite Pets? (a) Use an alpha of .05 and show all work. Assume data has no heavy skewness or outliers. (b) Construct a 95% confidence interval for the difference between Fish Friends and Buy-rite fish. Assume the conditions for inference are met.
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