For each hypothesis test you complete, please answer questions (a) through (i) listed below. (a) What conditions should you check first before you con- duct the hypothesis test? (b) Write the null and alternative hypotheses. (c) What type of test are you doing: right-tailed, left-tailed or two-tailed?
For each hypothesis test you complete, please answer questions (a)
through (i) listed below.
(a) What conditions should you check first before you con-
duct the hypothesis test?
(b) Write the null and alternative hypotheses.
(c) What type of test are you doing: right-tailed, left-tailed
or two-tailed?
(d) What formula should be used for the test statistic?
(e) What number is the test statistic equal to?
(f) Sketch a graph of the p-value
(g) What p-value do you obtain? Round to the ten-thousandths.
(h) Do you reject the null hypothesis or fail to reject the
null hypothesis? Explain.
(i) Please write a conclusion sentence, in the context of the
problem, that explains to a lay person the result of the hypothesis
test.
3. A marine biologist claims that the
seaperch is different in fall and winter. A sample of 26 mature female
pink seaperch collected in fall has a mean length of 127 millimeters and
a standard deviation of 14 millimeters. A sample of 31 mature female
pink seaperch collected in winter has a mean length of 117 millimeters
and a standard deviation of 9 millimeters. The distribution of lengths
of female pink seaperchs is
α= 0.01, can you support the marine biologist’s claim? Assume the
population variances are equal.
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