7. A survey of the white and nonwhite population in a local area reveals the following annual trip frequencies to the nearest state park x₁ = 4.1,

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Qn 7 part b, c, d, e. NO EXCEL.
of z=1.645 (based on a
null hypothesis that the
ds. The p-value is found
ormal table; the resulting
or a community to within an
e level. A small survey
is 2.0. How large should
tion of commuters who
be, if the planner desires a
esearcher takes a sample of
ant is 18.5 mg/l, with a
nce interval around the
vel is within this interval
ion of childless couples in a
erage of 0.12. The analyst
es in her community is higher
s interviewed; the mean
to be 0.16. Test the null
a.
7. A survey of the white and nonwhite population in a local area reveals the following
annual trip frequencies to the nearest state park
₁ = 4.1,
₂3.1,
= 14.3.
12.0,
b.
K
4 = 20
y = 16
where the subscript '1' denotes the white population and the subscript 2 denotes the
nonwhite population.
+
Repeat the exercise, assuming that the variances are unequal
Find the p-value associated with the tests in parts (a) and (b)
C.
d Associated with the test in partha), find a 95% confidence interval for the
difference in means.
G
Assume that the variances are equal, and test the null hypothesis that there is
no difference between the park-going frequencies of whites and nomwhites
e., Repeat parts (a)-(d), assuming sample sizes of n, -24 and m,- 12
8. Test the hypothesis that two communities have equal support for a political
candidate using the following data:
Community A: P₁ -0.33 n₁-54
Community B: P = 0.18 n=38
9. A researcher suspects that the level of a particular stream's pollutant is higher
than the allowable limit of 4.2 mg/l. A sample of n - 17 reveals a mean polutant
level of x-6.4 mg/l, with a standard deviation of 4.4 mgl is there sufficient
evidence that the stream's pollutant level exceeds the allowable limit? What is the
P-value?
Q
Transcribed Image Text:of z=1.645 (based on a null hypothesis that the ds. The p-value is found ormal table; the resulting or a community to within an e level. A small survey is 2.0. How large should tion of commuters who be, if the planner desires a esearcher takes a sample of ant is 18.5 mg/l, with a nce interval around the vel is within this interval ion of childless couples in a erage of 0.12. The analyst es in her community is higher s interviewed; the mean to be 0.16. Test the null a. 7. A survey of the white and nonwhite population in a local area reveals the following annual trip frequencies to the nearest state park ₁ = 4.1, ₂3.1, = 14.3. 12.0, b. K 4 = 20 y = 16 where the subscript '1' denotes the white population and the subscript 2 denotes the nonwhite population. + Repeat the exercise, assuming that the variances are unequal Find the p-value associated with the tests in parts (a) and (b) C. d Associated with the test in partha), find a 95% confidence interval for the difference in means. G Assume that the variances are equal, and test the null hypothesis that there is no difference between the park-going frequencies of whites and nomwhites e., Repeat parts (a)-(d), assuming sample sizes of n, -24 and m,- 12 8. Test the hypothesis that two communities have equal support for a political candidate using the following data: Community A: P₁ -0.33 n₁-54 Community B: P = 0.18 n=38 9. A researcher suspects that the level of a particular stream's pollutant is higher than the allowable limit of 4.2 mg/l. A sample of n - 17 reveals a mean polutant level of x-6.4 mg/l, with a standard deviation of 4.4 mgl is there sufficient evidence that the stream's pollutant level exceeds the allowable limit? What is the P-value? Q
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