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. 1. Tensile Strength An engineer wants to compare the tensile strengths of steel bars that are produced using a conventional method and an experimental method. (The tensile strength of a metal is a measure of its ability to resist tearing when pulled lengthwise.) To do so, the engineer randomly selects steel bars that are manufactured using each method and records the tensile strengths (in newtons per square millimeter) listed below. At α= 0.10, can the engineer support the claim that the experimental method produces steel with a greater mean tensile strength? Assume the population variances are not equal, and that all variables are nor- mally distributed. Please answer D E F
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.
1. Tensile Strength An engineer wants to compare the tensile
strengths of steel bars that are produced using a conventional method
and an experimental method. (The tensile strength of a metal is a
measure of its ability to resist tearing when pulled lengthwise.) To
do so, the engineer randomly selects steel bars that are manufactured
using each method and records the tensile strengths (in newtons per
square millimeter) listed below.
At α= 0.10, can the engineer support the claim that the experimental
method produces steel with a greater
the population variances are not equal, and that all variables are nor-
mally distributed.
Please answer D E F
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