Choose the incorrect explanation on the following hypothesis testing:
H0 x> 1.8
Ha x = 1.8
Either the hypothesis should be about the population mean, not the sample OR
There is no error
A study with 21 transplants for 21 children was reported where ultrasounds were taken at the time of liver transplant and again 10 years later to determine the diastolic blood pressure (DBP) of the hepatic artery. It is interested if liver transplant changes the mean DBP 10 years after transplant. Assume that the underline distribution is normal distribution. State the alternative hypothesis.
Is the mean difference = 0 OR not equal to 0
1) This is incorrect because the hypothesis should be about the population mean, not the sample.
2) The alternative hypothesis is that the mean difference is not equal to 0.
Choose the incorrect explanation on the following hypothesis testing: H0 x> 1.8 Ha x = 1.8...
From a nationwide study, we know that the mean diastolic blood pressure is 67.2 mm gH for children aged 5-6 years of age, and that the measurements are normally distributed. Blood pressure measurements were taken on 13 children aged 5-6 years living in a specific community to determine whether their living conditions resulted in a difference in mean blood pressure. For these children the average diastolic blood pressure was found to be 62.2 mm Hg with standard deviation 8.1 mm...
Consider the following hypothesis test. H0:mean 1 -mean 2 ≤ 0 Ha: mean1 -mean 2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 and sample 2: n 1 = 40 n 2 = 60 x 1 = 25.7 x 2 = 22.6 σ 1 = 5.6 σ 2 = 6 a. What is the value of the test statistic (round to 2 decimals)? b. What is the p-value (round to 4...
eBook Video Consider the following hypothesis test. H0: 1 - 2 ≤ 0 Ha: 1 - 2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n 1 = 40 n 2 = 50 x 1 = 25.5 x 2 = 22.3 σ 1 = 5.6 σ 2 = 6 a. What is the value of the test statistic (round to 2 decimals)? b. What is the p-value (round to...
Consider the following hypothesis test. H0: 1 - 2≤ 0 Ha: 1 - 2> 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n 1 = 30 n 2 = 60 x 1 = 25.6 x 2 = 22.2 σ 1 = 5.2 σ 2 = 6 a. What is the value of the test statistic (round to 2 decimals)? b. What is the p-value (round to 4 decimals)? Use z-table. Use z-value rounded to...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.28. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.025 < p-value < 0.0500.010 < p-value < 0.025p-value <...
Consider the following hypothesis test: H0: μ = 18 Ha: μ ≠ 18 A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.9. a. Compute the value of the test statistic (to three decimal places.) b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. (to two decimal places) p-value is between is c. At α = .05, what is your conclusion? p-value...
Consider the following hypothesis test: H0: μ = 18 Ha: μ ≠ 18 A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.7. a. Compute the value of the test statistic (to three decimal places.) b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. (to two decimal places) p-value is between ___________ is __________ c. At α = .05, what is your...
Consider the following hypothesis test with nequals=16 sequals=6.6 and x overbarxequals=60.9 H0: muμ equals= 57 HA: muμ not equals≠ 57 alphaα equals= 0.01 a. State the decision rule in terms of the critical value of the test statistic. b. State the calculated value of the test statistic. c. State the conclusion. a. State the decision rule. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A.Reject the...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) _______ (b) Use the t distribution table to compute a range for the p-value. a) p-value > 0.200 b) 0.100 < p-value < 0.200 c) 0.050 < p-value < 0.100 d) 0.025 <...
In R, Part 1. Learn to understand the significance level α in hypothesis testing. a) Generate a matrix “ss” with 1000 rows and 10 columns. The elements of “ss” are random samples from standard normal distribution. b) Run the following lines: mytest <- function(x) { return(t.test(x,mu=0)$p.value) } mytest(rnorm(100)) Note that, when you input a vector in the function mytest, you will get the p-value for the one sample t-test H0 : µ = 0 vs Ha : µ =/= 0....