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If two options are mutually exclusive and collectively exhaustive, and you have sufficient evidence to conclude that one of the options is probably false, then
| A. |
You may provisionally accept the remaining option as being probably true |
|
| B. |
You may not make any decisions due to a lack of certainty |
|
| C. |
You must continue testing until you become certain about which option is true |
|
| D. |
You must create additional options |
|
| E. |
All of the above |
|
| F. |
None of the above
|
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- Determine the null and alternative hypotheses based on the following: Historically, the time to order and deliver a pizza at Jimbo’s pizza was 48 minutes. Jim, the owner, implements a new system for ordering and delivering pizzas that he believes will reduce the time required to get a pizza to his customers.A fast-food franchise is considering building a restaurant at a busy intersection. A financial advisor determines that the site is acceptable only if, on average, more than 300 automobiles pass the location per hour. If the advisor tests the hypotheses H0: μ ≤ 300 versus HA: μ > 300, μ stands for __________.For three categorical variables X, Y and Z: a. When Y is jointly independent of X and Z, show that X and Y are conditionally independent, given Z. b. Prove that mutual independence of X, Y and Z implies that X and Y are both marginally and conditionally independent. c. When X is independent of Y and Y is independent of Z, explain why X is not necessarily independent of Z.
- A certain university claims that for the last school year the proportion of students who were not able to earn a college diploma is at most 25%. What is the alternative hypothesis? a. Proportion is greater than or equal to 0.25.b. Proportion is less than or equal to 0.25.c. Proportion is equal to 0.25.d. Proportion is not equal to 0.25.The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 3 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. (a) Determine the null and alternative hypotheses that the magazine will test. H0: ▼ pp muμ sigmaσ ▼ equals= greater than> not equals≠ less than< 3 H1: ▼ pp muμ sigmaσ ▼ less than< equals= not equals≠ greater than>Which of the following statements is true? A. If a sample has 16 observations and a 90% confidence estimate for μ is needed, the appropriate t-score is 1.753. B. If a sample has 16 observations and a 99% confidence estimate for μ is needed, the appropriate t-score is 2.602. C. If a sample has 20 observations and a 95% confidence estimate for μ is needed, the appropriate t-score is 1.729. D. If a sample has 20 observations and a 98% confidence estimate for μ is needed, the appropriate t-score is 2.093.
- The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is a. H 0: μ ≥ 40,000 H a: μ < 40,000 b. H 0: μ ≤ 40,000 H a: μ > 40,000 c. H 0: μ < 40,000 H a: μ ≥ 40,000 d. H 0: μ > 40,000 H a: μ ≤ 40,000For each of the following scenarios, state whether the null hypothesis should be rejected or not. Stateany assumptions that you make beyond the information that is given.(a) H0: µ = 6, Ha: µ ≠ 6, n=25, x̄=5.6, s=2.5, α=0.05(b) H0: µ = 6, Ha: µ < 6, n=25, x̄=5.6, s=2.5, α=0.05(c) H0: µ = 25, Ha: µ > 25, n=81, x̄=26.4, s=3.2, α=0.01(d) H0: µ = 50, Ha: µ ≠ 50, n=55, p-value=0.053A certain university claims that for the last school year the proportion of students who were not able to earn a college diploma is at most 25%. What is the null hypothesis? a. Proportion is greater than or equal to 0.25.b. Proportion is less than or equal to 0.25.c. Proportion is equal to 0.25.d. Proportion is not equal to 0.25.