8 Perform the indicated test of hypotheses, based on the information given. Test H0:μ=105H0:μ=105 vs. Ha:μ>105Ha:μ>105...

8

Perform the indicated test of hypotheses, based on the information given.

Test H0:μ=105H0:μ=105 vs. Ha:μ>105Ha:μ>105 @ α=0.05α=0.05, σ unknown, n = 30, x⎯⎯=108x-=108, s = 7.2
Test H0:μ=21.6H0:μ=21.6 vs. Ha:μ<21.6Ha:μ<21.6 @ α=0.01α=0.01, σ unknown, n = 78, x⎯⎯=20.5x-=20.5, s = 3.9
Test H0:μ=−375H0:μ=−375 vs. Ha:μ≠−375Ha:μ≠−375 @ α=0.01α=0.01, σ = 18.5, n = 31, x⎯⎯=−388x-=−388, s = 18.0

Expert Solution

orchestra answered 2 years ago

8. Perform the test of hypotheses indicated, using the data from independent samples given. Use the...

8. Perform the test of hypotheses indicated, using the data from independent samples given. Use the critical value approach. Test H 0 : μ 1 − μ 2 = 75 vs. H a : μ 1 − μ 2 > 75 @ α = 0.025: n 1 = 45, x - 1 = 674, s 1 = 18 n 2 = 29, x - 2 = 591, s 2 = 13 Test H 0 : μ 1 − μ 2...

Test the null hypothesis H0:μ=3.8against the alternative hypothesis HA:μ<3.8, based on a random sample of 25...

Test the null hypothesis H0:μ=3.8against the alternative hypothesis HA:μ<3.8, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3.6 and σ=0.72. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? YesNoClick for List ii) the...

Test the null hypothesis H0:μ=3.8against the alternative hypothesis HA:μ≠3.8, based on a random sample of 35...

Test the null hypothesis H0:μ=3.8against the alternative hypothesis HA:μ≠3.8, based on a random sample of 35 observations drawn from a normally distributed population with x¯=4 and σ=0.89. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 5% level of significance? NoYesClick for List ii) the...

Test the null hypothesis H0:μ=3.3against the alternative hypothesis HA:μ≠3.3, based on a random sample of 37...

Test the null hypothesis H0:μ=3.3against the alternative hypothesis HA:μ≠3.3, based on a random sample of 37 observations drawn from a normally distributed population with x¯=3.5 and σ=0.89. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 5% level of significance? YesNoClick for List ii) the...

Using the following information, perform the indicated hypothesis test. μ = 10 μ ≠ 10 α...

Using the following information, perform the indicated hypothesis test. μ = 10 μ ≠ 10 α = 0.05 Sample mean = 11.6, Sample standard deviation = 3.1, Sample size = 32 1- The test statistic is ? (rounded to 1 decimal place) 2-The positive critical value for the hypothesis test is ?

Suppose that you are testing the hypotheses H0: μ =11 vs. HA: μ <11 A sample...

Suppose that you are testing the hypotheses H0: μ =11 vs. HA: μ <11 A sample of size 64 results in a sample mean of 11.5 and a sample standard deviation of 2.4 a) What is the standard error of the mean? b) What is the critical value of t* for a 99 % confidenceinterval? c) Construct a 99%confidence interval for μ. d) Based on the confidence interval, at a =0.005 can you reject H0? Explain. 2)Before lending someone money,...

Questions 1)For a test of H0 : μ = μ0 vs. H1 : μ ≠ μ0,...

Questions 1)For a test of H0 : μ = μ0 vs. H1 : μ ≠ μ0, the value of the test statistic z obs is -1.34. What is the p-value of the hypothesis test? 2)For a test of H0 : μ = μ0 vs. H1 : μ > μ0, assume that the test statistic follows a t-distribution with 11 degrees of freedom. What is the critical value of the test if a 1% significance level is desired? 3)For a particular...

Perform the test of hypotheses indicated, using the data from independent samples given. Use the critical...

Perform the test of hypotheses indicated, using the data from independent samples given. Use the critical value approach. Compute the p-value of the test, as well. Test H 0 : μ 1 − μ 2 = 45 vs. H a : μ 1 − μ 2 > 45 @ α = 0.001: n 1 = 200, x - 1 = 1312, s 1 = 35 n 2 = 225, x - 2 = 1256, s 2 = 28 Test H...

Given the following hypotheses: H0: μ = 440 H1: μ ≠ 440 A random sample of...

Given the following hypotheses: H0: μ = 440 H1: μ ≠ 440 A random sample of 10 observations is selected from a normal population. The sample mean was 445 and the sample standard deviation 4. Using the 0.05 significance level: State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) 1) Reject Ho when the test statistic is outside the interval ( , ) 2.) Compute the value of the...

Given the following hypotheses: H0: μ ≤ 10 H1: μ > 10 A random sample of...

Given the following hypotheses: H0: μ ≤ 10 H1: μ > 10 A random sample of 10 observations is selected from a normal population. The sample mean was 11 and the sample standard deviation 3.2. Using the 0.100 significance level: a. State the decision rule. (Round your answer to 3 decimal places.) Reject H0 if t > b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic c....

Question