Anonymous

Question description

Suppose we want to build an interval estimate for the
proportion of Indiana households who live in owneroccupied houses with a 95% confidence level and a margin
of error of ±0.02 (two percentage points). What is the
minimum sample size to achieve this margin of error? Use
0.70 for the planning value.
a)  1537
b)  1801
c)  2017
d)  2401
16)  We can make a confidence interval more precise (narrower)
by,
a)  increasing the sample size.
b)  reducing the confidence level.
c)  increasing the confidence level.
d)  both (a) and (b) are correct.
17)  An interval estimate for the mean weekly wage of Illinois
workers had a lower and upper end, respectively of  \$1,055
and \$1,153.  The sample size was n = 196, with a standard
deviation of \$294. What is the confidence level for this
interval estimate?
a)  99 percent
b)  98 percent
c)  95 percent
d)  90 percent
18)  You read a news report that the average annual textbook
expense for undergraduate students is at least \$650.  You
want to test the hypothesis that the average for IUPUI
students is at least \$650. You select a random sample of 121
students. The sample mean is x̅  = 622, with a sample
standard deviation of \$209.  Which of the following is the
correct statement of the null and alternative hypotheses?
a)  H₀ : µ ≥ 650  H₁ : µ < 650
b)  H₀ : µ > 650  H₁ : µ ≤ 650
c)  H₀ : µ ≤ 650  H₁ : µ > 650
d)  H₀ : µ < 650  H₁ : µ ≥ 650
19)  Regardless how you answered the previous question, which
of the following statements is correct?
a)  If the mean cost of text books is in fact less than \$650
and the hypothesis test leads to reject the null
hypothesis, the you have committed a Type I error.
b)  If the mean cost of text books is in fact greater than
\$650 and you do not reject the null hypothesis, the you
have committed a Type I error.
c)  If the mean cost of text books is in fact less than \$650
and you reject the null hypothesis, the you have
committed a Type II error.
d)  If the mean cost of text books is in fact less than \$650
and you do not reject the null hypothesis, then you have
committed a Type II error.
20)  To perform the hypothesis test for the previous question, at
a 5% level of significance, compute the test statistic and the
probability value (p-value).  The p-value for the test is,
a)  0.071. Do not reject H₀. Conclude the mea n is no
greater than \$650.
b)  0.045. Reject H₀. Conclude the mean is less than \$650.
c)  0.071. Do not reject H₀. Conclude the mean is  at least
\$650.
d)  0.045. Reject H₀. Conclude the mean is greater than
\$650.
21)  To test if the average fill of half-gallon milk containers is 32
ounces, a random sample of 5 containers were selected,
which yielded the following data.

32.0  ∑x = 165
33.0
34.0  ∑x² = 5448.28
32.2
33.8
Compute the test statistic and the critical value at a 5 percent
level of significance. Round both the sample standard
deviation and the standard error to three decimal points.
a)  TS = 2.47  ; CV = 2.776. Conclude the mean is equal to 32.
b)  TS = 2.47  ; CV = 2.776. Conclude the mean is not equal
to 32.
c)  TS = 2.98  ; CV = 2.757. Conclude the mean is equal to 32.
d)  TS = 2.47  ; CV = 1.960. Conclude the mean is greater
than 32.
22)  You are reading a report that con

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