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- What term is used to express the likelihood of an event occurring? Are there restrictions on its values? If so, what are they? If not, explain.An internet provider is trying to gain advertising deals and claims that the mean time the competitors customers spend online per day is less than 46 minutes. You are asked to test this claim. (A) How would you write the null and alternative hypotheses if you represent the internet provider and want to support the claim? (B) How would you write the null and alternate hypothesis if you represent a competing advertiser and want to reject the claim?A golf instructor claims that more than 70% of his students have improved their driving distance by at least 20 yards after viewing and applying the techniques described in his instructional video. If 138 out of 180 viewers say that their driving distance has improved by at least 20 yards, is the instructor's claim valid? Identify the null and alternative hypotheses for this scenario. Is the instructor's claim that "more than 70% of his students have improved their driving distance by at least 20 yards," valid? Your response should include your decision and conclusion in context of the scenario.
- A) A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. Develop the null and alternative hypotheses to test the validity of this belief. B)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. Develop the null and alternative hypotheses to test the validity of this belief.Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the null hypothesis in this case? If p = 0.29, should Colby reject or fail to reject the null hypothesis? What should Colby’s statement of conclusion be? (This circles back to what is being tested).If a null hypothesis is rejected at the 0.05 level of significance, it must be rejected at the 0.01 level. True or False?
- A magazine reported that at the top 50 business schools in a region, students studied an average of 11.2 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 11.2-hour benchmark. State the null and alternative hypotheses. Choose the correct answer below. A. H0: X=11.2 H1: X≠11.2 B. H0: μ=11.2 H1: μ≠11.2 C. H0: α≠11.2 H1: β=11.2 D. H0: α=11.2 H1: α≠11.2 E. H0: β≠11.2 H1: β=11.2 F. H0: β=11.2 H1: β≠11.2 G. H0:μ≠11.2 H1: μ=11.2 H. H0:μ≠11.2 H1: X=11.2 I. H0:μ=11.2 H1:X≠11.2 J. H0: X≠11.2 H1: X=11.2 K. H0:α≠11.2 H1: α=11.2 L. H0:α=11.2 H1:β≠11.2 What is a Type I error for your test? A. Concluding that the mean number of hours studied at your school is not different from the reported 11.2-hour benchmark when in fact it is not different B. Concluding that the…A ski lift manager is interested in the average daily number of ski lift users. In previous years, fewer than 945 people, on average, have used the ski lift daily over the winter season. The manager suspects this average has increased in recent years. If the ski lift manager chooses to use the p-value approach for his hypothesis test, what does he need to compare the p-value to?A hypothesis test is to be performed. Determine the null and alternate hypotheses. In 1995 , the average duration of long-distance telephone calls originating in one town was 7.7 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1995 mean of 7.7 minutes
- A diabetic nurse seeks to assess the prevalence of type 2 diabetes among women in a population (age 18 to 80 years). She conveniently sampled 100 women attending antenatal care and asked them whether they had hypertension. Of the 100 pregnant women sampled, 50 consented to take part in the study and 1 had diabetes. Based on this finding, the nurse concluded that “the prevalence of diabetes among women in the population is low (2%).” A) Do you agree with the conclusion made by the diabetic nurse? Justify in not more than 100 words? B) Would you have conducted such a study differently if you had all the resources at hand (Describe in not more than 75 words).A magazine reported that at the top 50 business schools in a region, students studied an average of 18.1 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 18.1 hour benchmark. State the null and alternative hypotheses.For the given scenario, determine the type of error that was made, if any. (Hint: Begin by determining the null and alternative hypotheses.) A radio station has accepted 2626 as the mean age of its listeners. One radio station executive claims that the mean age of its listeners is different from 2626. The radio station executive conducts a hypothesis test and rejects the null hypothesis. Assume that in reality, the mean age of its listeners is 2929. Was an error made? If so, what type?