Consider a null hypothesis that tests the population mean is 50 versus the alternative that the mean is not equal to 50. The sample size is 6, and the sample mean is 38 with a sample standard deviation of 16. Test at a 5% level of significance. What is the rejection rule using the critical value?
a) Reject H0 if Zobs ≤ -2.015 or if Zobs ≥ 2.015
b) Reject H0 if Tobs ≥ -2.015 or if Tobs ≤ 2.015
c) Reject H0 if Tobs ≤ -2.571 or if Tobs ≥ -2.571
d) Reject H0 if Tobs ≤ 2.571
e) None of the above
Consider a null hypothesis that tests the population mean is 50 versus the alternative that the...
I would like to test the null hypothesis that the population mean is 50 versus the alternative that it is not 50. My sample size is 6 and the sample mean is 38 with sample standard deviation of 16. At α = 0.05, I should:
Consider the following hypothesis test:H0 : μ = 16Ha : μ ≠ 16A sample of 50 provided a sample mean of 14.34. The population standard deviation is 7. a. Compute the value of the test statistic (to 2 decimals).b. What is the p-value (to 4 decimals)? c. Using α = .05, can it be concluded that the population mean is not equal to 1?d. Using α = .05, what are the critical values for the test statistic (to 2 decimals)?e. State the rejection...
3. Hypothesis tests about a population mean, population standard deviation unknown Aa Aa Airlines compute the weight of outbound flights using either standard average weights provided by the Federal Aviation Administration (FAA) or weights obtained from their own sample surveys. The FAA standard average weight for a passenger's carry-on items (personal items plus carry-on bags) is 16 pounds Many airline companies have begun implementing fees for checked bags. Economic theory predicts that passengers will respond to the increase in the...
1. You want to test whether you can reject the null hypothesis that a population mean is greater than or equal to 10. To do this, you collect a random sample of size 500 from the population, and you calculate that the sample mean and sample standard deviation are 8.6 and s, respectively. Which of the following is true? a. If s is any value between 11 and 13, you can reject the null hypothesis at the 5% significance level....
In a test of hypothesis, the null hypothesis is that the population mean is equal to 90 and the alternative hypothesis is that the population mean is not equal to 90. The test is to be made at the 10% significance level. A sample of 100 elements selected from this population produced a mean of 84 and a standard deviation of 8. What is the value of the observed test statistic, z?
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...
sample mean = 213.4552 sample Standard deviation = 44.81542 N=50 alpha = .05 SEM = 6.337857477 For each of the following hypothesis testing problems, manually calculate the t-statistic, use the 5% level of significance (alpha = 0.05), determine the rejection region, determine the p-value of the t-test, use the 95% confidence interval in part (c) to make a decision about whether or not to reject the null hypothesis. Test the null hypothesis that the true mean is 225 versus the...
4. Hypothesis tests about a population mean, pop ulation standard deviation unknown Airlines compute the weight of outbound flights using either standard average weights provided by the Federal Aviation Administration (FAA) or weights obtained from their own sample surveys. The FAA standard average weight for a passenger's carry-on items (personal items plus carry-on bags) is 16 pounds. Many airline companies have begun implementing fees for checked bags. Economic theory predicts that passengers will respond to the increase in the price...
Suppose that we are testing the null hypothesis that μ = 68 versus the alternative that μ < 68. We take a sample of size 36 and find a sample average of = 63.4 and a sample standard deviation of s = 12.6. Determine the value of the test statistic for the hypothesis test of one population mean. t = -2.19 t = -0.37 t = 0.37 t = 2.19
If the null hypothesis is that the population mean is equal to 150 and a sample mean of 113 gave significant support against the null hypothesis, which of the following sample means would be certain to give support against the null hypothesis. a) 114 b.) 122 c.) 264 d.) 112 _____12) If the p-value is less than the significance level, you would . a.) reject the null hypothesis b.) accept the...