We run a hypothesis test with H0 : µ = 40 against H1 : µ >...
We run a hypothesis test with H0 : µ = 40 against H1 : µ > 40 at the 5% level of significance and find a test statistic of -1.88. If we used a sample of 22 with the population standard deviation, then give the critical value and decide if you accept or reject H0.
Homework Answers
4. It is desired to test H0 : µ = 20 Vs H1 : µ <...
4. It is desired to test H0 : µ = 20 Vs H1 : µ < 20, on the basis of a random sample of size 64 from normal distribution with population standard deviation σ = 2.4. The sample mean and sample standard deviation are found to be 19.5 and 2.5, respectively. (a) Test the hypothesis at α = 0.05. Compute the test statistics, critial regions, and perform the test. Will the result be difference if α is changed to...
For the hypothesis test H0: µ = 10 against H1: µ < 10 with variance unknown...
For the hypothesis test H0: µ = 10 against H1: µ < 10 with variance unknown and n = 20, let the value of the test statistic be t0 = 1.25. Find the approximate the P-value.
For the hypothesis test H0: µ = 10 against H1: µ > 10 with variance known...
For the hypothesis test H0: µ = 10 against H1: µ > 10 with variance known and n = 15, find the P-value for each of the following values of test statistic. (1) z0 = - 2.05 and (2) z0 = 1.84
We find the 95% confidence interval for a mean is (25.2, 26.7). If we test H0...
We find the 95% confidence interval for a mean is (25.2, 26.7). If we test H0 : µ = 25 against H1 : µ 6= 25 at the 5% level what is our conclusion? Possible answers are: reject H0, accept H0, can’t tell.
To test H0: σ = 40 versus H1: σ < 40
To test H0: σ = 40 versus H1: σ < 40, a random sample of size n=27 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 28.8, compute the test statistic (b) if the researcher decides to test this hypothesis at the a=0.05 level of significance, use technology to determine the P-value.(c) Will the researcher reject the null hypothesis?
In order to test HO: µ0 = 40 versus H1: µ ≠ 40, a random sample...
In order to test HO: µ0 = 40 versus H1: µ ≠ 40, a random sample of size n = 25 is obtained from a normal population with a known σ = 6. My x-BAR mean is 42.3 from my sample. Using a TI 83/84 calculator, calculate my P-value with the appropriate Hypothesis Test. Use a critical level α = 0.01 and decide to Accept or Reject HO with the valid reason for the decision. A. My P-value greater than...
Test Ho: µ =100; H1: µ < 100, using n = 36 and alpha = .05...
Test Ho: µ =100; H1: µ < 100, using n = 36 and alpha = .05 If the sample mean=92 and the sample standard deviation = 18, which of the following is true? A. test statistic = -2.67; critical value = 1.69; we fail to reject Ho. B. test statistic = -2.67; critical value = 1.96; we fail to reject Ho. C. test statistic = -2.67; critical value = -1.96; we reject Ho. D. test statistic = -2.67; critical value...
Use the following to answer questions 1 and 2. Consider the hypothesis test H0: µ ≥...
Use the following to answer questions 1 and 2. Consider the hypothesis test H0: µ ≥ 65, Ha: µ < 65. From a sample of 15 observations, the sample mean was 63 and the sample standard deviation was 4. Use level of significance 0.01. Compute the test statistic. Give your answer to 2 decimal places.
Consider the hypothesis test H0: σ1 = σ2 against H1: σ^21 ≠ σ^22 with known variances...
Consider the hypothesis test H0: σ1 = σ2 against H1: σ^21 ≠ σ^22 with known variances s1 ^2= 2.3 and s^2 2 = 1.9. Suppose that sample sizes n1 = 15 and n2 = 15. Use α = 0.05. a. Parameter of Interest b. Null and Hypothesis c. test statistic d. reject Ho if e. computation f. conclusion
Suppose we want to test the null hypothesis H0 : p = 0.34 against the alternative...
Suppose we want to test the null hypothesis H0 : p = 0.34 against the alternative hypothesis H1 : p > 0.34. Suppose also that we observed 120 successes in a random sample of 300 subjects and the level of significance is 0.05. What is the observed test statistic for this test? a. -2.194 b. 2.194 c. 0.05 d. 0.4
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