Test statistic,
Χ^2 = (n-1)*s^2/σ^2
Χ^2 = (16 - 1)*90.25/50
Χ^2 = 27.075
This is right tailed test, for α = 0.05 and df = 15
Critical value of Χ^2 is 24.996
test statistic > 24.996
test statistic < NONE
A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses...
A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using a - .o5. Ho : σ 2 < 50 Ha : σ 2 > 50 a. Calculate the value of the test statistic (to 2 decimals). 2.85 The p-value is between .025 and .05 What is your conclusion? Conclude that the population variance is greater than 50 b. Repeat the hypothesis test using the critical value approach. Round critical value to 3 decimal...
Test the following hypotheses by using the x goodness of fit test. HO: pA = 0.40, pB = 0.40, and pc = 0.20 Ha: The population proportions are not PA 0.40, PB 0.40, and Pc-0.20 A sample of size 200 yielded 40 in category A 140 in category B, and 20 in category C. Use a 1 and test to see whether the proportions are as stated n·。 (a) Use the p-value approach. Find the value of the test statistic....
Consider the following hypothesis test. (a) What is your conclusion if n 21, s,2 - 4.2, n2 26, and s22 2.0? Use a 0.05 and the p-value approach Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value- State your conclusion Reject H0. We cannot conclude that σ,<p σ2 Do not reject Ho. We cannot conclude that σ14 σ 2 o Reject H , we can conclude that σ. σ Do not...
Consider the following hypothesis test. (a) What is your conclusion if n1-21, s12-82, n,-26, and s2 4.0? Use α 0.05 and the ρ-value approach Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value- State your conclusion. Reject Ho, we cannot conclude that σ12 # σ22 Do not reject Ho, we cannot conclude that σ1z # σ2 O Reject H , we can conclude that σ. # σ 0 D Do not...
Consider the following hypothesis test. H0: μ ≤ 50 Ha: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use α = 0.05. (Round your answers to two decimal places.) (a)x = 52.5 Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the...
42. + -13 points ASWSBE14 9.E.013. You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Hoius 50 Hu > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use a = 0.05. (Round your answers to two decimal places.) (a) x = 52.3 Find the value of the...
Consider the following hypotheses: H0: μ-360 The population is normally distributed with a population standard deviation of 73. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic with x = 389 and n = 80, (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic a-2 what is the conclusion at the 10% significance level? Do not reject...
A sample of 14 items provides a sample standard deviation of 3.8. Test the following hypotheses using a = 0.05. What is your conclusion? Use both the p-value approach and the critical value approach. Ho : o2 < 30 Hq : 02 > 30 Test statistic = (to 2 decimals) p-value low from table = (to 3 decimals). Use Table 11.1. p-value high from table = (to 3 decimals). Use Table 11.1. Xổ.05 = (to 3 decimals) Reject Ho if...
Consider the following hypotheses: He: μ28e The population is normally distributed. A sample produces the following observations: 56 67 62 81 8366 Conduct the test at the 1% level of significance. (You may find lt useful to reference the appropriate table: table or Цеье o. Calculate the value of the test statistic. (Negative value should be Indicated by a minus sign. Round Intermedlate caleulatlons to at least 4 declmal places and final answer to 2 declmal places.) Test statistic b....
A sample of 16 items from population 1 has a sample variance s = 5.5 and a sample of 17 items from population 2 has a sample variance s = 2.3. Test the following hypotheses at the .05 level of significance. H: <o H:01 > a. What is your conclusion using the p-value approach? Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer . Use Table 11.1. What is your conclusion? 1...