2. A company wishes to determine whether there is a difference between two brands of gasoline A and B. Can we conclude that at 0.05 significance level that brand B is better than brand A using Mann-Whitney U test. Brand A 15.2 14.4 14.6 16.3 15.9 14.7 15.4 15.6 15.3 16 Brand B 16.7 14.9| 15 15.8 16.9 15.5 15.7 14.8 16.4 16.5
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- What is meant by the sample space of an experiment?A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 30% owned cats. In the second sample of 60 women, 55% owned cats. Test the veterinarian's belief at the α=0.05α=0.05 significance level. Preliminary: Is it safe to assume that nmen≤5%nmen≤5% of all men and nwomen≤5%nwomen≤5% of all women? Yes No Verify nˆp(1−ˆp)≥10.np^(1-p^)≥10. Round your answer to one decimal place.nmenˆp(1−ˆp)=nmenp^(1-p^)= nwomenˆp(1−ˆp)=nwomenp^(1-p^)= Test the claim: Determine the null and alternative hypotheses. H0H0: pmenpmen pwomenpwomen HaHa: pmenpmen pwomenpwomen The hypothesis test is left-tailed two-tailed right-tailed Determine the test statistic. Round to two decimal places.x=x= Find the pp-value.…Kevin, a Human Resources professional, would like to make the claim that the average hourly wage for administrative workers at his company is less than $9.69. Kevin samples 15 workers and obtains a sample mean of $8.80 per hour. At the 1% significance level, should Kevin reject or fail to reject the null hypothesis given the sample data below?
- A machine in a factory must be repaired if it produces more than 10% defectives in a day. A random sample of 100 produced items contains 15 defectives, and the supervisor says that the machine must be repaired. Given the aforementioned information and the hypotheses H0: p ≤ 0.1 and H1: p > 0.1, does the sample support the supervisor's decision at the 0.01 significance level?Suppose that in a particular country there is substantial sex selection in favor of male fetuses: 57 percent of all babies born are male, which is much higher than the natural human rate of 51.2 percent male. For a random sample of 600 babies born, what is the POWER of the hypothesis test H0: p = 0.512 versus H1: p > 0.512 supposing that a 1 percent significance level is chosen (i.e. a high burden of proof)?The research department at the home office of New Hampshire Insurance conducts on-going research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three-year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the .05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three year period? Determine the p-value.
- The table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, and assuming that the sample sizes of 900 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women?Determine whether the alternative hypothesis is supported at a 0.05 significance level. would B be correct?A health insurance company wants to determine if more than 25% of US residents have been to a hospital emergency room within the past year. It was found that in a sample of 1000 people, 28% indicated that they had been to an emergency room within the past year. With a significance level of 0.01, is there evidence to suggest that the proportion of US residents that have been to the emergency room in the past year is actually higher than 25%?
- The owner of a machine shop must decide which of two snack-vending machines to install in his shop. If each machine tested 250 times, the first machine fails to work (neither delivers the snack nor returns the money) 13 times, and the second machine fails to work 7 times, test at the 0.05 level of significance whether the difference between the corresponding sample proportions is significant.4. A researcher claims that the percentage of infants who receiveimmunizations is less than 80%. She selects a sample of size 750 infantsand 573 have received immunizations. At a 5 % significance level, what conclusion should the researchersmake?10. The research department at the home office of Superior Insurance conducts ongoing research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three- year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the 0.05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period? Determine and interpret the p- value.