Dr. Ryan Gosling is conducting the following hypothesis test at the 5% significance level using a sample size ofn = 9 observations: HO: µ = 83 vs. Ha: µ < 83. Which of the following is the best choice for the rejection region? %3D
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- Independent random samples of 32 people living on the west side of a city and 30 people living on the east side of a city were taken to determine if the income levels of west side residents are significantly different from the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are significantly different from the income levels of east side residents, at the 2% significance level. H0:μw=μeHa:μw≠μe t0=2.364 t0.01=±2.099 Select the correct answer below: No; the test statistic is not between the critical values. No; the test statistic is between the critical values. Yes; the test statistic is not between the critical values. Yes; the test statistic is between the critical values.Two types of flares are tested and their burning times (in minutes) are recorded. Summary statistics are given below.Brand Xn=35x = 19.4 mins = 1.4 min Brand Yn=40x = 15.1 mins = 0.8 min Use a 0.08 significance level to test the claim that the two samples are from populations with the same mean. Use the traditional method or the P Value method of hypothesis testing.Independent random samples of 31 people living on the west side of a city and 25 people living on the east side of a city were taken to determine if the income levels of west side residents are greater than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are greater than the income levels of east side residents, at the 2% significance level. H0:μw≤μeHa:μw>μe t0=0.511 t0.02=2.104 Select the correct answer below: Yes; the test statistic is greater than the critical value. No; the test statistic is greater than the critical value. No; the test statistic is less than the critical value. Yes; the test statistic is less than the critical value.
- . The term sample usually refers to a sample that ___ - Consists of people with chemical dependency problems - Uses the same group of individuals with a before/after measurement - Requires a dependent variable for hypothesis testing - Is randomly selected from two dependent populationsA 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.…Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.10 level of significance whether the two methods of analysis give, on the average, the same result.
- An investigator hypothesizes that the improvement rate associated with a placebo is P1 = 0.45, and that the improvement rate associated with an active drug is P2 = 0.65. The plan is to perform a two-tailed test. Use SAS to complete each problem below. (a) If a significance level 0.01 and a power of 0.95 are desired, how large a sample per treatment must he study? (b) How large must the sample size be if the significance level is relaxed to 0.05 and the power to 0.85? (c) For this study, suppose that you have funds to recruit 130 patients per group. What is the power for a 5% level test for this sample size? First do the computation by hand and then use SAS to confirm.In a 2 × 3 between-subjects ANOVA with dfWithin = 17 and alpha set at .05, what is q if one is looking to determine the value of Tukey's HSD for an interaction effect?An investigator hypothesizes that the improvement rate associated with a placebo is P1 = 0.45, and that the improvement rate associated with an active drug is P2 = 0.65. The plan is to perform a two-tailed test. Use SAS to complete each problem below. (b) How large must the sample size be if the significance level is relaxed to 0.05 and the power to 0.85? Suppose that instead of accruing an equal number of patients on each treatment arm, you allocate 1.5 patients to the new treatment for every patient on standard treatment. What sample size is required on each arm to guarantee 85% power with a level 0.05? How does the sample size computed here compare with the total required sample size in (b)?
- Independent random samples of 27 people living on the west side of a city and 26 people living on the east side of a city were taken to determine if the income levels of west side residents are less than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are less than the income levels of east side residents, at the 4% significance level. H0:μw≥μeHa:μw<μe t0=−2.344 t0.04=−2.107 Select the correct answer below: Yes; the test statistic is greater than the critical value. No; the test statistic is less than the critical value. No; the test statistic is greater than the critical value. Yes; the test statistic is less than the critical value.Independent random samples of 27 people living on the west side of a city and 26 people living on the east side of a city were taken to determine if the income levels of west side residents are less than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are less than the income levels of east side residents, at the 4% significance level. H0:μw≥μeHa:μw<μe t0=−2.344 t0.04=−2.107A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, use the 0.05 level of significance in determining whether the new filtration system could be superior. Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 Do reject or fail to reject H0?