1. Suppose that we are testing Ho: p = Ho versus H₁ μμo. Calculate the p-value for the following observed values of the test statistic: (a) Zo= 2.25 (c) Zo= -2.10 (e) Zo= -0.10 (b) Zo = 1.55 (d) Zo 1.95 =

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1. Suppose that we are testing Ho: μ = μo versus H₁ μpo. Calculate the p-value for the
following observed values of the test statistic:
(a) Zo= 2.25
(c) Zo-2.10
(e) Zo= -0.10
(b) Zo= 1.55
(d) Zo = 1.95
2. Suppose that we are testing Ho μ = μo versus H₁ μ> po. Calculate the p-value for the
following observed values of the test statistic:
(a) Zo = 2.45
(c) Zo = 2.15
(e) Zo= -0.35
(b) Zo= -1.53
(d) Zo = 1.95
3. Consider the following sample data: 9.37, 13.04, 11.69, 8.21, 11.18, 10.41, 13.15, 11.51, and 7.75. Is
it reasonable to assume that this data is a sample from a normal distribution? Draw the normal
plot. Is there evidence to support a claim that the mean of the population is 10?
4. A computer program has produced the following output for a hypothesis-testing problem:
Difference in sample means: 2.35
Degrees of freedom: 18
Standard error of the difference in sample means: ?
Test statistic: to 2.01
p-value: 0.0298
(a) What is the missing value for the standard error?
(b) Is this a two-sided or a one-sided test?
(c) If a = 0.05, what are your conclusions?
(d) Find a 90% two-sided CI on the difference in means.
5. Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking
strength of this plastic is important. It is known that 0₁ = 02 = 1.0 psi. From random samples
of n₁ = 10 and n₂ = 12 we obtain ỹ₁ = 162.5 and ÿ2 = 155.0. The company will not adopt plastic
1 unless its breaking strengths exceeds that of plastic 2 by at least 10 psi. Based on the sample
information, should they use plastic 1? In answering this question, set up and test appropriate
hypotheses using a = 0.01. Construct a 99 percent confidence interval on the true mean difference
in breaking strength.
Transcribed Image Text:1. Suppose that we are testing Ho: μ = μo versus H₁ μpo. Calculate the p-value for the following observed values of the test statistic: (a) Zo= 2.25 (c) Zo-2.10 (e) Zo= -0.10 (b) Zo= 1.55 (d) Zo = 1.95 2. Suppose that we are testing Ho μ = μo versus H₁ μ> po. Calculate the p-value for the following observed values of the test statistic: (a) Zo = 2.45 (c) Zo = 2.15 (e) Zo= -0.35 (b) Zo= -1.53 (d) Zo = 1.95 3. Consider the following sample data: 9.37, 13.04, 11.69, 8.21, 11.18, 10.41, 13.15, 11.51, and 7.75. Is it reasonable to assume that this data is a sample from a normal distribution? Draw the normal plot. Is there evidence to support a claim that the mean of the population is 10? 4. A computer program has produced the following output for a hypothesis-testing problem: Difference in sample means: 2.35 Degrees of freedom: 18 Standard error of the difference in sample means: ? Test statistic: to 2.01 p-value: 0.0298 (a) What is the missing value for the standard error? (b) Is this a two-sided or a one-sided test? (c) If a = 0.05, what are your conclusions? (d) Find a 90% two-sided CI on the difference in means. 5. Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking strength of this plastic is important. It is known that 0₁ = 02 = 1.0 psi. From random samples of n₁ = 10 and n₂ = 12 we obtain ỹ₁ = 162.5 and ÿ2 = 155.0. The company will not adopt plastic 1 unless its breaking strengths exceeds that of plastic 2 by at least 10 psi. Based on the sample information, should they use plastic 1? In answering this question, set up and test appropriate hypotheses using a = 0.01. Construct a 99 percent confidence interval on the true mean difference in breaking strength.
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