The mean area of the several thousand apartments in a new development by a certain builder is advertised to be 1100 square feet. A tenant group thinks this is inaccurate and suspects that the actual average area is less than 1100 square feet. To investigate this suspicion, the group hires an engineer to measure a sample of apartments. The appropriate hypotheses to test the tenants group claim about u are: Hoμ 1100 and Hau 1100 Ho: μ 1100 and Haμ< 1100 1100 and Haμ > 1100 Ho : μ = = =
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- A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Identify the P-value?Each day for 200 days, a quality engineer samples 144 fuses rated at 15 A and measures the amperage at which they burn out. He performs a hypothesis test of H0 : μ = 15 versus H1 : μ ≠ 15, where μ is the mean burnout amperage of the fuses manufactured that day. a) On 10 of the 200 days, H0 is rejected at the 5% level. Does this provide conclusive evidence that the mean burnout amperage was different from 15 A on at least one of the 200 days? Explain. b) Would the answer to part (a) be different if H0 had been rejected on 20 of the 200 days? Explain.A researcher is using a two-tailed hypothesis test with α = 0.05 to evaluate the effect of a treatment. If the boundaries for the critical region are t = ± 2.080, then how many individuals are in the sample?
- A researcher is using a two-tailed hypothesis test with α = 0.01 to evaluate the effect of a treatment. If theboundaries for the critical region are t = ± 2.845, then how many individuals are in the sampleIn 2002 a statistician named Fukuda found the following in Japan: Out of 565 births where both parents smoked more than a pack a day, 255 were boys. Out of 3602 births where both parents didn’t smoke, 1975 were boys. At ∝= 0.05, can we claim that there is a smaller propor)on of boys with parents who are smokers? Test using: a.) a hypothesis test b.) an appropriate CIA nationwide study of undergraduate students reported that the mean number of drinks consumed per week during the spring semester is 7.96. The mean number of drinks consumed per week at USC is 7.64 (s.d.=2.55, N=412 Health services is concerned that USC students are consuming significantly more alcohol per week than the national average. Using an alpha level of .05, Is there sufficient evidence to be concerned? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusion
- a cereal company claims that the mean weight of the cereal in its packets is at least 14oz. express the null hypothesis and the alternatvie hypothesis in symbolic formCalculateaconfidenceinterval for the me-dian ofthe second population.Select your confidenc eleve land reportit with your answer.??The researchers wrote: “On the basis of a pilot test indicating a Cohen’s d of 0.175, we set a target sample size of 1,000 participants, yielding 75% power to detect a small effect size after allowing for 100 exclusions (10%)” (Catapano et al., 2019, p. 426). A “pilot test” is an initial, smaller study usually conducted to gather information to guide the actual, larger study. By “exclusions,” the researchers meant participant data that they didn’t use for some reason—for example, because the participant failed to answer all of the questions. The findings from the pilot test, or initial study, had a Cohen’s d of 0.175, a small effect size. Why is this information useful for planning the sample size for the main study? A.Researchers now know that there is likely to be only a small effect, so it’s not worth conducting the study after all. B.Researchers need to estimate the size of the effect they hope to detect so as to determine how many participants will be necessary to…
- When determining whether grounding accidents and hull failures result in different spillage (is there a difference between spills caused by grounding or hull failures) would I use a two tail t test to decide this?A research center claims that more than 32% of employees in a certain country have changed jobs in the past three years. In a random sample of 360 people from that country, 126 have changed jobs in the past three years. At α=0.05, is there enough evidence to support the center's claim? Complete parts (a) through (e) belowA tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is less than 0.20. If the z− test statistic was calculated as z=−2.11, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.005. Move the blue dot to choose the appropriate test (left-, right, or two-tailed). Then, use the graph below to show the test statistic, p-value, and the rejection region to make a conclusion about the hypothesis test. powered by Move the blue dot to choose the appropriate test α=0.01 α=0.025 α=0.05 α=0.1 Significance level = 0.01 Select the correct answer below: There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is not enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is greater than 0.20.…