A sample of size n = 19 has variance
s2 = 1.96. At α2 = .05 in a
right-tailed test, does this sample contradict the hypothesis that
σ2 = 1.21?
(a) Choose the correct null and alternative
hypotheses.
H0: σ2 ≥ 1.21 vs. H1: σ2 < 1.21
H0: σ2 = 1.21 vs. H1: σ2 ≠ 1.21
H0: σ2 ≤ 1.21 vs. H1: σ2 > 1.21.
(b) Calculate the decision rule. (Round
your answer to 2 decimal places.)
χ2 >
(c) Calculate the test statistic. (Round
your answer to 2 decimal places.)
χ2
(d) Choose the correct conclusion.
Fail to reject H0.
Reject H0.
Find the sample proportions and test statistic for equal proportions. (a-1) Dissatisfied workers in two companies: x1 = 46, n1 = 100, x2 = 36, n2 = 100, α = .05, two-tailed test. (Round your answers to 4 decimal places. Use Excel to calculate the p-value.) p1 p2 zcalc p-value zα/2 +/- (a-2) Choose the appropriate hypotheses. a. H0:π1 – π2= 0 vs. H1:π1 – π2 ≠ 0. Reject H0 if zcalc < –1.96 or zcalc...
Find the sample proportions and test statistic for equal proportions. (a-1) Dissatisfied workers in two companies: x1 = 46, n1 = 100, x2 = 36, n2 = 100, α = .05, two-tailed test. (Round your answers to 4 decimal places. Use Excel to calculate the p-value.) p1 p2 zcalc p-value zα/2 +/- (a-2) Choose the appropriate hypotheses. a. H0:π1 – π2 = 0 vs. H1:π1 – π2 ≠ 0. Reject H0 if zcalc < –1.96 or zcalc > 1.96 b....
The following information is available. H0: μ = 48 H1: μ ≠ 48 The sample mean is 47, and the sample size is 38. The population standard deviation is 7. Use the .05 significance level. 1. value: 2.00 points Required information Is this a one- or two-tailed test? One-tailed test Two-tailed test 2. value: 2.00 points Required information What is the decision rule? Reject H0 if z < -1.96 or z > 1.96 Reject H0 if -1.96 < z <...
A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.H0: μ = 50H1: μ ≠ 50Is this a one- or two-tailed test?One-tailed testTwo-tailed test doneWhat is the decision rule?Reject H0 if −1.96 < z < 1.96Reject H0 if z < −1.96 orz > 1.96 doneWhat is the value of the test statistic? (Negative amount should be...
The sodium content of a popular sports drink is listed as 235 mg in a 32-oz bottle. Analysis of 19 bottles indicates a sample mean of 241.4 mg with a sample standard deviation of 24.3 mg. (a) State the hypotheses for a two-tailed test of the claimed sodium content. a. H0: μ ≥ 235 vs. H1: μ < 235 b. H0: μ ≤ 235 vs. H1: μ > 235 c. H0: μ = 235 vs. H1: μ ≠...
The mean potassium content of a popular sports drink is listed as 148 mg in a 32-oz bottle. Analysis of 40 bottles indicates a sample mean of 147.4 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. H0: μ = 148 mg vs. H1: μ ≠ 148 mg H0: μ ≤ 148 mg vs. H1: μ > 148 mg H0: μ ≥ 148 mg vs. H1: μ < 148 mg a b c (b) Assuming...
The mean potassium content of a popular sports drink is listed as 149 mg in a 32-oz bottle. Analysis of 28 bottles indicates a sample mean of 148 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. a. H0: μ = 149 mg vs. H1: μ ≠ 149 mg b. H0: μ ≤ 149 mg vs. H1: μ > 149 mg c. H0: μ ≥ 149 mg vs. H1: μ < 149 mg (b) Assuming...
A sample of 37 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.02 significance level. H0: μ ≤ 20 H1: μ > 20 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 when z > 2.054 Reject H0 when z ≤ 2.054 What is the value of the test statistic? (Round your...
A sample of 35 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.02 significance level. H0: ? ? 28 H1: ? >28 1. a. Is this a one- or two-tailed test? Two-tailed test One-tailed test 2. b. What is the decision rule? Reject H0 when z ? 2.054 Reject H0 when z > 2.054 3. c. What is the value of...
A sample of 31 observations is selected from a normal population. The sample mean is 11, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 10 H1: μ > 10 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 when z > 1.645 Reject H0 when z ≤ 1.645 What is the value of the test statistic? (Round your...