a)
The test statistic is given by:
b)
Required degrees of freedom =
c)
Since this is a two-tailed test, so the p-value is given by:
d)
Since p-value is less than 0.05, so we have sufficient evidence to reject the null hypothesis H0.
Reject H0. There is sufficient evidence to conclude that .
Hence 3rd option.
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: M-42 - 0 H: 11-20 The following results are from independent samples taken from two populations. Sample 1 Sample 2 - 35 n2 = 40 72 - 10.1 x2 = 13.6 $1 = 5.1 52 = 8.5 (a) What is the value of the test statistic? (Use x - xz Round your answer to three decimal places.) 2.192 (b) What is the...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. The following results are from independent samples taken from two populations assuming the variances are unequal Sample 1 Sample 2 n1-352 x1-13.6x2-10.1 s, 5.5 s = 8.1 n2-40 (a) What is the value of the test statistic? (Use X1-x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Hou 55 H: 4 < 55 A sample of 35 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.01. (a) = 54 and 5 = 5.2 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 70 Ha: μ < 70 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 68.5 Find the value of the test statistic. -1.25 Correct: Your answer is correct. Find the p-value. (Round your answer to...
44. You may need to use the appropriate technology to answer this question. Consider the follovring hypothesis test. A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a)x44 and s5.1 Find the value of the test statistic. (Round your ansvwer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. O Do not reject Ho. There is...
You may need to use the appropriate appendix table or technology to answer this question Consider the following hypothesis test H0: p = 0.20 Ha: p # 0.20 A sample of 400 provided a sample proportion p = 0.185 (a) Compute the value of the test statistic. (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) p-value- (C) 0.05, what is your conclusion? 0 Reject H0. There is insufficient evidence...
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: 41 - H2SO Ho: My - uz > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n = 40 n2 = = 50 * = 25.3 X = 22.8 0 = 5.9 92=6 (a) What is the value of the test statistic? (Round your answer to two decimal places.)...
You may need to use the appropriate technology to answer this question. Consider the following data for a dependent variable y and two independent variables, x, and x, V X1 y 30 92 12 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 16 210 The estimated regression equation for these data is -18.74 2.01x, 4.73x Here, SST 15,229.6, SSR 14,077.25 0.2495, and 0.9575. (a)...
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.09. The population standard devlation is 3. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) (c) At a = 0.05, state your conclusion. Reject H0. There is sufficient evidence to conclude that...
-6 points You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. ASWSBE 139E.011. 3. + Ho' μ-15 Ha: μ * 15 A sample of 50 provided a sample mean of 14.09. The population standard deviation is 3 (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value (c) At α-0.05, state your...