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This is a bit of a long one but if anyone is up for the challenge, be my guest. The level of significance indicates the
This is a bit of a long one but if anyone is up for the challenge, be my guest.
- The level of significance indicates the probability of rejecting a true null hypothesis. T/F?
- You can make a Type I error when the null hypothesis is correct. T/F?
- The power of a statistical test is the probability of rejecting a false null hypothesis. T/F?
- In a hypothesis test about Mean, increasing the level of significance from 0.05 to 0.10 will raise the chance of a Type II error; other relevant factors being held constant. T/F?
- In a hypothesis test about Mean, switching the significance level from .05 to .10 will make type I error more likely; other relevant factors being held constant. T/F?
- The larger is the gap between the hypothesized mean and the actual Mean, the stronger is "the power of the test." T/F?
- You cannot make a Type II error when the null hypothesis is correct. T/F?
- A tire manufacturer has to find the average tensile strength of rubber in a particular tire brand. Assuming normality and a known population standard deviation, the manager uses a Z test to check that the mean tensile strength is 850 pounds per square inch. The calculated Z-value is a positive value that yields a p-value of 0.015. If the specified alpha is 0.01 is used, we reject the Null hypothesis. T/F?
- The greater the p-value, the more we doubt the null hypothesis. T/F?
- The average for a professional basketball player, who is retiring. is 21 points per game. There are several potential replacements. The owner believes that signing a replacement is only justified if one scores an average more than 22 points per game. We can represent this Hypothesis Test problem as: A. H0: 21 vs. H1: > 21 ; B. H0: 22 vs. H1: > 22 ; C. H0: 21 vs. H1: < 21 ; D. H0: 22 vs. H1: < 22 ?
- We are performing a "large sample" test of H0:: 10 vs. H1: > 10 with a critical value approach. The Null hypothesis will be rejected at significance level if the absolute value of calculated test statistic is: A. Less than Z/2 ; B. Less than Z ; C. Greater than Za/2 ; D. Greater than Z ; E. Less than the p-value
- If we do not reject a null hypothesis at the 0.05 significance level, we will__reject at the 0.10 level. A. Always ; B. Sometimes ; C. Never ; D. Cannot say without knowing one-tailed or two-tailed.
- We are testing whether the average time employees stay with a company is less than three years, given that a randomly selected sample of 64 employees has a mean of 2.76 years and a standard deviation of 0.8 years. We assume a normal distribution. Our conclusion will be: A. Reject the Null at 5% significance level but not at 1% level. ; B. Reject the Null at 10% significance level but not at 5% level. ; C. Reject the Null even at 1% significance level ; D. Cannot reject the Null even at 10% significance level ; E. Reject the Null at 5% significance level but not at 10% level
- In a large sample test as H0: =10 vs. Ha: 10, using a p-value approach, we reject H0 at the level of significance when the p-value is: A. greater than /2 ; B. greater than ; C. less than ; D. less than /2 ; E. Less than Z
- If the sample size is less than 30 in a hypothesis test about population Mean with unknown population standard deviation, one compares the computed test statistic for significance with a value from the___distribution. A. t ; B. Z ; C. Binomial ; D. Hypergeometric ; E. Left-Skewed
- In an early study, researchers at a private University found that 33% of the freshmen had received at least one A in their first semester. University administrators have received report that grade inflation may have caused this percentage to increase recently. A random sample of 500 freshmen found that 180 had at least one A in their first semester. Calculate the appropriate test statistic and test the hypotheses related to the concern and test at 5% and 1%.
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