What is the null hypothesis? Select the correct response: The mean performance of students assigned to the various learning modalities are different. There is no significant difference among the four learning modalities. The mean performance of students assigned in the different learning modalities are not the same.
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- If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the probability of transmitting a 4-bit code word with (a) at most one error, and (b) exactly four errors.A manufacturer of automobiles finds that 15% of the cars are unfit for delivery when they come off theassembly line. A worker proposes a new assembly technique which he claims will reduce the percentage ofunfit cars. His technique is tried on 80 randomly chosen cars. It turns out that 3 are defective.Test at α = 0.05. Show all seven steps to receive full credit.
- Ackerman and Goldsmith (2011) report that students who study from a screen (phone, tablet, or computer) tended to have lower quiz scores than students who studied the same material from printed pages. To test this finding, a professor identifies a sample of n = 16 students who used the electronic version of the course textbook and determines that this sample had an average score of M = 72.5 on the final exam. During the previous three years, the final exam scores for the general population of students taking the course averaged μ =77with a standard deviation of σ = 8 and formed a roughly normal distribution. The professor would like to use the sample to determine whether students studying from an electronic screen had exam scores that are significantly different from those for the general population. 1. Using the standard four-step procedure, conduct a two-tailed hypothesis test with αto evaluate the effect of studying from an electronic screen.A research center claims that at least 28% of adults in a certain country think that their taxes will be audited. In a random sample of1000 adults in that country in a recent year, 23%say they are concerned that their taxes will be audited. At α=0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of adults in the country think that their taxes will be audited. B. Less than nothing% of adults in the country think that their taxes will be audited. C. At least nothing% of adults in the country think that their taxes will be audited. D. The percentage of adults in the country who think that their taxes will be audited is not nothing%. Let p be the population proportion of…A research center claims that 29% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 31% say that they would travel into space on a commercial flight if they could afford it. At a=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who would travel into space on a commercial flight if they could afford it is not ______%. B. No more than ______% of adults in the country would travel into space on a commercial flight if they could afford it. C. ______% of adults in the country would travel into space on a commercial flight if they could afford it. D. At least ______% of…
- According to a local chamber of commerce, in 1993, 5.9% of local area residents owned more than five cars. A local car dealer claims that the percentage has increased. He randomly selects 180 local area residents and finds that 12 of them own more than five cars. Test this car dealer's claim at the level of significance of 0.05.Researchers investigated the possible beneficial effect on heart health of crinking black tea and whether adding mikk to the tea reduces any possible benefit Tiventy-four volunteers Were randomly assigned to one of three groups Every day for month; participants in group drank twvo cups ofhot black tea without mikk; participants in group drank two cups of hot black tea with milk; and participants in group drank twvo cups ofhot water but no tea At the end of the month the fesearchers measured the change in each of the participants heart health. Is it reasonable to zeneralize the study beyond the 24 participants? Explain why or why not.1. A University Director wants to see whether the average time (in minutes) it takesstudents to reach classes on time is different for three groups. The data are shown here.Junior Senior Graduates35 9 1518 3 627 12 2724 6 2221 12 2414821a) At α=0.05, can the owner conclude that there is a significant difference among themeans?b) If there is a significant difference among the means, test each pair of means?
- Q15) A cookie jar containts 15 chocolate chip and 5 oatmeal cookies. If 3 cookies are randomly selected, what is the probablity at least one is an oatmeal cookie? (Find TWO METHODS to calculate this problem, and show the work)The dataset TrafficFlow gives the delay time in seconds for 24 simulation runs in Dresden, Germany, comparing the current timed traffic light system on each run to a proposed flexible traffic light system in which lights communicate traffic flow information to neighboring lights. On average, public transportation was delayed 105 seconds under the timed system and 44 seconds under the flexible system. Since this is a matched pairs experiment, we are interested in the difference in times between the two methods for each of the n=24 simulations. For the differences D, we were given that seconds with seconds. We wish to estimate the average time savings for public transportation on this stretch of road if the city of Dresden moves to the new system.The standard error is 3.1 for one set of 10,000 bootstrap samples. Find a confidence interval for the average time savings.Round your answers to one decimal place.A research center claims that at least 31% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent year, 26% say they are concerned that their taxes will be audited. At α=0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who think that their taxes will be audited is not enter your response here%. B. enter your response here% of adults in the country think that their taxes will be audited. C. Less than enter your response here% of adults in the country think that their taxes will be audited. D. At least enter your response here% of adults in the country think…