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AP Stat 1997 mc
A 95 percent confidence interval of the form p(plus or minus)E will be used to obtain
an estimate for an unknown population proportion p. If p is the sample proportion
✅✅
and E is the margin of error, which of the following is the smallest sample size that
will guarantee a margin of error of at most 0.08? - -175
A certain county has 1,000 farms. Corn is grown on 100 of these farms but on none
of the others. In order to estimate the total farm acreage of corn for the county, two
plans are proposed.
Plan I: (a) Sample 20 farms at random. (b) Estimate the mean acreage of corn per
farm in a confidence interval. (c) Multiply both ends of the interval by 1,000 to get an
interval estimate of the total.
Plan II: (a) Identify the 100 corn-growing farms. (b) Sample 20 corn-growing farms at
random (c) Estimate the mean acreage of corn for corn-growing farms in a
confidence interval (d) Multiply both ends of the interval by 100 to get an inteval
estimate of the total.
✅✅
On the basis of the information given, which of the following is the better method for
estimating the total farm acreage of corn for the county? - -Choose plan II over
plan I.
A company wanted to determine the health care costs of its employees. A sample of
25 employees were interviewed and their medical expenses for the previous year
were determined. Later the company discovered that the highest medical expense in
the sample was mistakenly recorded as 10 times the actual amount. However, after
correcting the error, the corrected amount was still greater than or equal to any other
✅✅
medical expense in the sample. Which of the following sample statistics must have
remained the same after the correcting was made? - -Median
A fair coin is flipped 10 times and the number of heads is counted. The procedure of
10 coin flips is repeated 100 times and the results are place in a frequency table.
✅✅
Which of the frequency tables below is most likely to contain the results from these
100 trials? - -chart shows number of heads 0-10 and then the following
frequencies in order....
0/0/6/9/22/24/18/12/7/2/0 (REMEMBER two zeros at top and just 1 zero at end)
A magazine has 1,620,000 subscribers, of whom 640,000 are women and 980,000
are men. Thirty percent ofthe women read the advertisements in the magazine and
50 percent of the men read the advertisements in the magazine. A random sample of
✅✅
100 subscribers is selected. What is the expected number of subscribers in the
sample who read the advertisements? - -42
, A manufacturer makes lightbulbs and claims that their reliability is 98 percent.
Reliability is defined to be the proportion of nondefective items that are produced
✅✅
over the long term. If the company's claim is correct, what is the expected number of
nondefective lightbulbs in a random sample of 1,000 bulbs? - -980
A random sample of the costs of repair jobs at a large muffler repair shop produces a
mean of $127.95 and a standard deviation of $24.03. If the size of this sample is 40,
✅✅
which of the following is an approximate 90 percent confidence interval for the
average cost of a repair at this repair shop? - -$127.95(+−) $6.25
A survey was conducted to determine what percentage of college seniors would
have chosen to attend a different college if they had known what they know now. In a
random sample of 100 seniors, 34 percent indicated that they would have attended a
✅✅
different college. A 90 percent confidence interval for the percentage of all seniors
who would have attended a different college is - -26.2% tp 41.8%
An automobile manufacturer claims that the average gas mileage of a new model is
35 miles per gallon (mpg). A consumer group is skeptical of this claim and thinks the
manufacturer may be overstating the average gas mileage. If µ represents the true
✅✅
average gas mileage for this new model, which of the following gives the null and
alternative hypotheses that the consumber group should test? - -H₀: µ= 35 mpg
Hα: u< 35 mpg
At a college the scores on the chemistry final exam are approximately normally
distributed, with a mean of 75 and a standard deviation of 12. The scores ont eh
calculus final are also approximately normally distributed, with a mean of 80 and a
standard deviation of 8. A student scored 81 on the chemistry final and 84 on the
✅✅
calculus final. Relative to the students in each respective class, in which subject did
this student do better? - -The student did equally well in each course.
Chart:
Juniors / Job 13/ No Job 5/ Total 18......
Seniors/ Job 13/ No Job 26/ Total 39.....
Total/ Job 26/ No Job 31/ Total 57
A survey of 57 students was conducted to determine whether or not they held jobs
outside of school. The two-way table above shows the numbers of students by
employment status (job, no job) and class (juniors, seniors). Which of the following
✅✅
best describes the relationship between employment status and class? -
-There appears to be an association, since the proportion of juniors having jobs
is much larger than the proportion of seniors having jobs.
Circuit boards are assembled by selecting 4 computer chips at random from a large
batch of chips. In this batch of chips, 90 percent of the chips are acceptable. Let X
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