10-3. Consider the hypothesis test Ho:H = H2 against H:H, > µ2 with known variances o = 10 and o2 = 5. Suppose that sample sizes n, = 10 and n2 = 15 and that x 24.5 and X = 21.3. Use a = 0.01. (a) Test the hypothesis and find the P-value. (b) Explain how the test could be conducted with a confidence %3D %3D %3D %3D %3D %3D interval. c) What is the power of the test in part (a) if u, is 2 units greater than u2? d) Assume that sample sizes are equal. What sample size should be used to obtain B= 0.05 if u, is 2 units greater than u,? Assume that a = %3D =0.05.
10-3. Consider the hypothesis test Ho:H = H2 against H:H, > µ2 with known variances o = 10 and o2 = 5. Suppose that sample sizes n, = 10 and n2 = 15 and that x 24.5 and X = 21.3. Use a = 0.01. (a) Test the hypothesis and find the P-value. (b) Explain how the test could be conducted with a confidence %3D %3D %3D %3D %3D %3D interval. c) What is the power of the test in part (a) if u, is 2 units greater than u2? d) Assume that sample sizes are equal. What sample size should be used to obtain B= 0.05 if u, is 2 units greater than u,? Assume that a = %3D =0.05.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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Why should we use a lower confidence bound for Question 10-3 part (b)?
Transcribed Image Text:both machines fill
X, =7.8. Use a = 0.05.
(a) Test the hypothesis and find the P-value.
(b) Explain how the test could be conducted with a confidence
interval.
een 12.22 and
at we are 90%
this volume is 16
taken from the ou
re millimeter)
(c) What is the power of the test in part (a) for a true difference
in means of 3?
16.0
(d) Assume that sample sizes are equal. What sample size
should be used to obtain B = 0.05 if the true difference in
means is 3? Assume that a =
16.0
16.0
mean strengt
0.05.
16.0
JS 10-2.
H, : H, <µ2 with known variances oj = 10 and o, = 5. Suppose
that sample sizes n, = 10 and n, = 15 and that = 14.2 and
X = 19.7. Use a = 0.05.
(a) Test the hypothesis and find the P-value.
(b) Explain how the test could be conducted with a confi-
dence interval.
Consider the hypothesis test Ho:H = µ2 against
16.
%3D
%3D
(a) Do you thir
the P-value
%3D
%3D
(b) Calculate
means. Prc
(c) What is the power of the test in part (a) if µ, is 4 units less
than u,?
(d) Assume that sample sizes are equal. What sample size
should be used to obtain B = 0.05 if u, is 4 units less than u,?
Assume that a = 0.05.
V 10-3.
H1:H1 > H2 with known variances o = 10 and o2 = 5. Suppose
that sample sizes n, = 10 and n = 15 and that x = 24.5 and
X2 = 21.3, Use x = 0.01.
(a) Test the hypothesis and find the P-value.
(b) Explain how the test could be conducted with a confidence
(c) What is th
in means
two sample
aired so that
(d) Assume
should be
dence. The
ence in m
Consider the hypothesis test Ho:H = µ2 against
J 10-5.
TV
component m
plastic is imp
random samp
and X2 = 155
%3D
%3D
%3D
10-8)
mean breakir
interval.
(a) Based o
(c) What is the power of the test in part (a) if µ, is 2 units
greater than u2?
(d) Assume that sample sizes are equal. What sample size
should be used to obtain B = 0.05 if µ, is 2 units greater
than 2? Assume that a = 0.05.
Use a =
(b) Calculate
Suppose
(c) Find the
does not
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