(A) Null hypotheses cannot be made with non-normal data. (B) Alternative hypotheses cannot be made with non- normal data. O Both statements are true. Only the first statement (A) is true.
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- If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the expected value of this game is E=0.9+0.1= .7. A manufacturer of balloons claims that p, the proportion of its balloons that burst when inflated to a diameter of up to 12 inches, is no more than 0.05. Some customers have complained that the balloons are bursting more frequently, If the customers want to conduct an experiment to test the manufacturer’s claim, which of the following hypotheses would be appropriate? (A) H0 : p ≠ 0.05, Ha : p = 0.05 (C) H0 : p = 0.05, Ha : p ≠ 0.05 (B) H0 : p = 0.05, Ha : p > 0.05 (D) H0 : p = 0.05, Ha : p < 0.05 If you feel the answer is none of the choices given, submit no answer to the questionA company selling home furnaces claims that installingtheir new high efficiency furnace will “cut your heating bill in half.” A consumer agency collects data for a ran-dom sample of homes and plots this year’s heating costs with the new furnaces against previous costs with the oldfurnaces. Which are the most appropriate hypotheses totest the company’s claim?A) H0: b = 0, HA: b ≠ 0B) H0: b = 0, HA: b 7 0C) H0: b = 0, HA: b 6 0D) H0: b = 0, HA: b 6 0.5E) H0: b = 0.5, HA: b ≠ 0.5
- The Null hypothesis, denoted by H0,represents the hypothesis that will be accepted only if the data provide convincing evidence of its truth.truefalseYou may need to use the appropriate technology to answer this question. Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class: Finance Majors Business Analytics Majors n1 = 120 n2 = 30 x1 = $48,237 x2 = $55,217 s1 = $19,000 s2 = $10,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use ? = 0.05. (Let ?1 = the population mean salary for Finance majors, and let ?2 = the population mean salary for Business Analytics majors. Enter != for ≠ as needed.) H0: Ha: (b) What is the value of the test statistic? (Use ?1 − ?2. Round your answer to three decimal places.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) What is your conclusion? Do not reject H0. We cannot conclude that salaries…You may need to use the appropriate technology to answer this question. Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class: Finance Majors Business Analytics Majors n1 = 140 n2 = 30 x1 = $48,337 x2 = $55,217 s1 = $19,000 s2 = $10,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use ? = 0.05. (Let ?1 = the population mean salary for Finance majors, and let ?2 = the population mean salary for Business Analytics majors. Enter != for ≠ as needed.) H0: Ha: (b) What is the value of the test statistic? (Use ?1 − ?2. Round your answer to three decimal places.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) What is your conclusion? Do not reject H0. We cannot conclude that…
- In a one-tail hypothesis test where you rejected Ho only in the upper tail, what is the value is Zstat =+2.00?To provide support for a hypothesis, one must a. reject the null hypothesis b. affirm the consequent c. accept the null hypothesis d. use very large samplesan experimenter conudcted a two-tailed hypothesis test on a set of data and obtained a p-value of 0.30. If the experimenter has conducted a one-tailed test on the same set of data, which of the following is true about the possible p-values(s) that the experimenter could have obtained? a) the possible p-values are 0.15 and 0.95 b) the only possible p-value is 0.15 c) the only possible p-value is 0.60 d) the possible p-values are 0.15 and 0.85 e) the only possible p-value is 0.30
- 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 ≤ 40,0001. In hypothesis testing, the value against which a test statistic is compared to determine whether or not the null hypothesis is rejected. 2. Calculate the general t statistic if estimate is equal to 3, hypothesized value is equal to 2.5 and the standard error is equal to 0.4. 3. Calculate the general t statistic if estimate is equal to 2.3, hypothesized value is equal to 2 and the standard error is equal to 0.2. 4. Calculate the general t statistic if estimate is equal to 2.1, hypothesized value is equal to 0.75 and the standard error is equal to 0.5. 5. Calculate the general t statistic if estimate is equal to 1.6, hypothesized value is equal to 0.35 and the standard error is equal to 0.8. 6. Calculate the general t statistic if estimate is equal to 1.75, hypothesized value is equal to 1 and the standard error is equal to 0.6. 7. Calculate the general t statistic if estimate is equal to 2.5, hypothesized value is equal to 2.1 and the standard error is equal to 0.2. 8.…A golf pro shop is deciding whether to carry a new, more expensive line of golf balls that claim to travel further. To test the new balls, the pro shop manager asked the club’s golf pro to hit 100 of the top selling brand of balls and 100 of the new balls. The distance traveled by both the new and current balls was recorded. For this scenario, which of the following would be the proper set of hypotheses? a. H0: µD = 0 H1: µD > 0 b H0: µD = 0 H1: µD < 0 c. H0: µnew - µcurrent = 0 H1: µnew - µcurrent < 0 d. H0: µnew - µcurrent = 0 H1: µnew - µcurrent > 0 II. What is the dependent variable in this study?
