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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.A researcher conducts a hypothesis test using a sample from an unknown population. If df = 30 for the t-statistic and M = 46 and s2 = 10, how many individuals were in the sample?A medical researcher says that less than 74%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that country, 71% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 andHa. 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.) Fill the percentage on the correct answer A. % of adults in the country think that healthy children should be required to be vaccinated. B. Less than %of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. More than…
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- To increase egg production, a farmer decided to increase the number of times the lights in his henhouse were on. Ten hens were randomly selected, and the number of eggs each produced was recorded. After one week of lengthened light time, the same hens were monitored again. The data is given here. At α = 0.05, can it be concluded that the increased light time increased egg production? Hen 1 2 3 4 5 6 7 8 9 10 Before 4 3 8 7 6 4 9 7 6 5 After 6 5 9 7 4 5 10 6 9 6A researcher predicts that scores in treatment A will be higher than scores in treatment B. If the mean for the 10 participants in treatment A is 4 points higher than the mean for the 10 participants in treatment B and the data produce t = 2.095, what decision should be made? a. With a = .05, reject H0 for a one-tailed test but fail to reject for a two-tailed test b. With a = .05, reject H0 for a two-tailed test but fail to reject for a one-tailed test c. With a = .05, fail to reject H0 for both a one-tailed and a two-tailed test d. With a = .05, reject H0 for both a one-tailed and a two-tailed testIf reserachers report from thier study were significant, P<.0.5 this means 1 we would expect the results to occur by less 5 times out of 100 2 if they conducted the study over they would get the same results less than 5 times in 100 3 the results are untrustworthy 4 we would expect the results to occur by chance less than 95 time out of 100
- Q1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups the same? Set alpha to .05.The designer of a new sheet metal stamping machine claims that their new machine can turn out a certain product faster than the machine now in use. Nine independent trials of stamping the same item on each machine gave the following results on times to completion:. Standard Machine: n1 = 9, x̄1 = 35.22 seconds, s1² = 24.4375 seconds² New Machine: n2 = 9, x̄2 = 31.56 seconds, s2² = 20.0275 seconds² Given the aforementioned data, the hypotheses H0: µ1 - µ2 ≤ 0 and H1: µ1 - µ2 > 0, α = 0.05, and assuming that the both machines have the same variance, is there evidence to substantiate the designer’s claim? a. The t test statistic equals 1.65, so there is sufficient evidence to substantiate the designer’s claim. b. The z test statistic equals 1.75, so there is insufficient evidence to substantiate the designer’s claim. c. The t test statistic equals 1.75, so there is sufficient evidence to substantiate the designer’s claim. d. The t test statistic…The designer of a new sheet metal stamping machine claims that their new machine can turn out a certain product faster than the machine now in use. Nine independent trials of stamping the same item on each machine gave the following results on times to completion:. Standard Machine: n1 = 9, x̄1 = 35.22 seconds, s1² = 24.4375 seconds² New Machine: n2 = 9, x̄2 = 31.56 seconds, s2² = 20.0275 seconds² Given the aforementioned data, the hypotheses H0: σ1² ≤ σ2² and H1: σ1² > σ2², and α = 0.05, is there evidence to conclude that σ1² ≤ σ2²? a. The test statistic equals 1.10, so there is evidence to conclude that σ1² ≤ σ2². b. The test statistic equals 0.91, so there is evidence to conclude that σ1² ≤ σ2². c. The test statistic equals 0.91, so there is not evidence to conclude that σ1² ≤ σ2². d. The test statistic equals 1.10, so there is not evidence to conclude that σ1² ≤ σ2². e. The test statistic equals 0.82, so there is not evidence to…
