Take this quiz as you would take a quiz in class. After you are done, check your work against the answers given in the hack of the hook. For each exercise, perform the steps below. (a) Identify the claim and state H 0 and H a . (b) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning. (c) Choose one of the options. Option 1: Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic. Option 2: Find the appropriate standardized test statistic and the P-value. (d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. 3. A government agency reports that the mean amount of earnings for full-time workers ages 18 to 24 with a bachelor’s degree in a recent year is $47,254. In a random sample of 15 full-time workers ages 18 to 24 with a bachelor’s degree, the mean amount of earnings is $50,781 and the standard deviation is $5290. At α = 0.05, is there enough evidence to support the claim? Assume the population is normally distributed. (Adapted front U.S. Census Bureau )
Take this quiz as you would take a quiz in class. After you are done, check your work against the answers given in the hack of the hook. For each exercise, perform the steps below. (a) Identify the claim and state H 0 and H a . (b) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning. (c) Choose one of the options. Option 1: Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic. Option 2: Find the appropriate standardized test statistic and the P-value. (d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. 3. A government agency reports that the mean amount of earnings for full-time workers ages 18 to 24 with a bachelor’s degree in a recent year is $47,254. In a random sample of 15 full-time workers ages 18 to 24 with a bachelor’s degree, the mean amount of earnings is $50,781 and the standard deviation is $5290. At α = 0.05, is there enough evidence to support the claim? Assume the population is normally distributed. (Adapted front U.S. Census Bureau )
Solution Summary: The author explains that the null hypothesis indicates the claim. The test is two-tailed because the alternative hypotheses contain the not equal (ne) symbol
Take this quiz as you would take a quiz in class. After you are done, check your work against the answers given in the hack of the hook.
For each exercise, perform the steps below.
(a) Identify the claim and state H0 and Ha.
(b) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning.
(c) Choose one of the options.
Option 1: Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic.
Option 2: Find the appropriate standardized test statistic and the P-value.
(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
3. A government agency reports that the mean amount of earnings for full-time workers ages 18 to 24 with a bachelor’s degree in a recent year is $47,254. In a random sample of 15 full-time workers ages 18 to 24 with a bachelor’s degree, the mean amount of earnings is $50,781 and the standard deviation is $5290. At α = 0.05, is there enough evidence to support the claim? Assume the population is normally distributed.(Adapted front U.S. Census Bureau)
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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