Random selection of two independent samples of sizes n1= 12 and n2 = 12 are given. Which procedure should be applied to perform a hypothesis test to compare
Q: A researcher is interested in the amount of sleep an individual receives after consuming a sleeping…
A: A: Null Hypothesis: H0:μ1=μ2=μ3 Alternative Hypothesis: H1: At least two μi's are different.
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A: Sample size (n) = 173Population proportion (p) = 0.08Thus,
Q: Use 0.05 significance level to test the daim that blue enhances performance on a creative task. What…
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A: It is given that Population proportion, p = 40% = 0.40 Favourable cases, X = 92 Sample size, n =…
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Q: Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly,…
A: Given data: Population 1 Population 2 66 70 71 68 69 77 73 78 66 75 66 77 65 71…
Q: A nutritionist in the FDA wants to compare the caloric content of medium French fries sold by…
A: We have to find decision and interprt The decision..
Q: A researcher is interested in the amount of sleep an individual receives after consuming a sleeping…
A:
Q: An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city…
A: Sample size(n)=143 Population proportion(P)=0.04 q=1-p q=1-0.04=0.96
Q: Consider a completely randomized design with five treatments, A, B, C, D, and E. The ANOVA F-test…
A: There are five treatments A, B, C, D and E.ANOVA test revealed significant differences among the…
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A: Given: X Y Z 92 98 83 99 95 88 87 95 90 94 96 75 Level of significance = 0.05
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A: Note: We are supposed to solve only one question at a time. Please repost the other question…
Q: A researcher is interested in the amount of sleep an individual receives after consuming a sleeping…
A: Hypothesis to be tested: H0:μ1=μ2=μ3H1:Not all means are equal
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A: (a) sampling distribution: A simple random sample size of n is given which is obtained from the…
Q: Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly,…
A: There are two independent samples which are exercise regularly and does not exercise regularly. We…
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Q: Population 1: 68, 67, 69, 62, 72, 66, 70 Population 2: 70, 73, 77, 72, 70, 70, 77, 71 Is there…
A: Given data : Population 1: 68, 67, 69, 62, 72, 66, 70 Population 2: 70, 73, 77, 72, 70, 70, 77, 71
Q: A researcher is interested in the amount of sleep an individual receives after consuming a sleeping…
A: The study is about the amount of sleep an individual receives after consuming a sleeping aid…
Q: Provide an example (different from the ones considered in this section) of a procedure based on a…
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Q: use a significance level of a=0.05 to test the claim that p1=p2 for two populations. Use the given…
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Q: In a completely randomised design for ANOVA, SST - 75, MST - 25, SSE 60 and MSE - 3.75. The number…
A: Given: SST = 75 MST = 25 MSE = 3.75 SSE = 60
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Q: Random samples of resting heart rates are taken from two groups. Group 1 exercises regularly, and…
A: Answer Group1: 62,71,62,68,69,69,72Group 2: 78,74,73,76,76,71,70,76n1 =7n2 =8level of significance…
Q: How many degrees of freedom will the error have in a randomized block design with five treatments…
A: Randomized block design (RBD): Number of treatments = a = 5 number of blocks = b = 3
Q: Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red…
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Random selection of two independent
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- A new music venue in the city wants to know what kind of music students prefer. To research, they take a random sample of 50 students from each of the following locations: a local middle school, high school, and college. The students are asked to choose which one of three types of music genres they prefer: pop, alternative, or country. A significance test will be conducted to determine if there is convincing evidence at α = 0.05 that the distribution of preferred music type differs amongst these three age groups in this city What are the hypotheses for this test? H0: There is an association between these age groups in this city and the genre of music they prefer. Ha: There is no association between these age groups in this city and the genre of music they prefer. H0: There is no difference in the distribution of preferred music type amongst these students. Ha: There is a difference in the distribution of preferred music type amongst these students. H0: There is no difference in…Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the summary statistics. a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) The…Consider the two sample t-test with equal variances and the paired t-test. These tests are equivalent to which experimental designs. State the designs and draw detailed comparison between them.
- A researcher is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin Valerian Placebo n=6 n=10 n=4 N=20 M=14 M=13 M=9 G=250 T=84 T=130 T=36 ΣX2=3377 SS=60 SS=90 SS=37 a. Using symbols, state the hypotheses for a two-tailed test with α=0.05. b. Locate the critical region. In doing so, determine the degrees of freedom values. c. Calculate the F-ratio.Determine if the samples are independent or related. Two formulations of a new whitening soap are compared to their whitening effect. A random sample of 40 potential users of the soap is selected. Each person uses a randomization mechanism to determine which formulation is applied on the left arm so that the other formulation is applied on the right arm. After two weeks, they measured the effect of each formulation.An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city that are hybrids. Is it sufficient for him to use a simple random sample of 173 cars if hybrids currently account for 8%of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that?
- In order to compare the life expectancies of three different brands of tires, 5 tires of each brand were randomly selected and were subjected to standard wear-testing procedures. Information regarding the three brands is shown below. Stone Bridge Michelle Nice Year Mean mileage (in 1000 miles) 42 46 41 Sample variance 3 2 5 Sample Size 5 5 5 Use the above data and test to see if the mean mileage for all three brands of tires is the same. Let α = .05. Complete the ANOVA table and show the details of calculation. a) State the null and alaternative hypotheses to be tested. b) Complete the table. The null hypothesis is to be tested at 95% confidence. You need to show all calculations. What do you conclude? Source of variation SS df MS F F critcal value Between Treatment SSTR= MSTR= Within Treatment SSE= MSE= Total SST=A nutritionist in the FDA wants to compare the caloric content of medium French fries sold by Wendonald (Population 1) and McKing (Population 2) fast-food chains, to see if there is any difference between them. To test this, random samples from each chain is taken and the caloric contents of French fries are measured. The finding is summarized in the table on next page. Conduct an independent-samples t test to test whether there is any difference between the caloric content of French fries sold by the two chains, following the steps below. Wendonald McKing = 32 = 30 = 390 calories = 365 calories = 30 calories = 38 calories Write down the null and alternative hypotheses using proper notation Calculate (Write all steps) What is the value of for α = 0.05 with a two-tailed test?A study was done to provide data on sleep deprivation rates of Californians and Oregonians. The percent of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this percent is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states. Use California as Group A and Oregon as Group B. Round your test statistic to 2 decimal places and your p-value to 4 decimal places. Test statistic: p-value: Conclusion:
- Based on past record of a pharmaceutical company, the cure rates for a standardmedication in treating a particular ailment is ten percent. After five years, thecompany has produced a new medication. The hired pharmacist in the companyclaims that the new medication produced by the company is effective in treating aparticular ailment compared to a standard medication. In a simple randomsample of two hundred subjects who took the new medication, it was found thatsixty subjects are uncured. Meanwhile, one hundred and eighty subjects arecompletely cured from three hundred subjects who took the standard medication.Given that the 97.8% confidence interval for the cure rates of the standardmedication is (0.5352, 0.6648). Can we conclude that the cure rates of thestandard medication do not change from the past record?Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly, and Population 2 does not. The data from these two samples is given below: Population 1: 66, 71, 66, 64, 63, 69, 70 Population 2: 77, 74, 69, 73, 74, 78, 68, 68 Is there evidence, at an a = 0.065 level of significance, to conclude that there those who exercise regularly have lower resting heart rates? Carry out an appropriate hypothesis test, filling in the information requested. A. The value of the standardized test statistic: -4.87322 B. The p-value is .00001 C. Your decision for the hypothesis test: A. Do Not Reject H₁. B. Do Not Reject Ho. C. Reject H₁. OD. Reject Ho.The news release referenced in the previous exercise also included data fromindependent samples of teenage drivers and parents of teenage drivers. In response to aquestion asking if they approved of laws banning the use of cell phones and texting whiledriving, 74% of the teens surveyed and 95% of the parents surveyed said they approved.The sample sizes were not given in the news release, but suppose that 600 teens and 400 parents of teens were surveyed and that these samples are representative of the twopopulations. Do the data provide convincing evidence that the proportion of teens whoapprove of banning cell phone and texting while driving is less than the proportion ofparents of teens who approve?