Five ²'s computed for fourfold tables in independent replications of an experiment are 0-50, 4-10, 1-20, 2-79, and 5.41. Does the aggregate of these tests yield a significant x²?
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- The caiculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the folowing data: SST= 268, SSA = 25, SSB = 24, SSAB - 160. Set up the ANOVA table and test for significance using a- 0.05. Show entries to 2 decimals, if necessary. If the answer is zero, enter "0". Use unrounded intermediate values for calculation. Source Sum Degrees Mean of Varlation of Squares of Freedom Square Fvalue p-value Factor A Factor B Interaction Error TotalA researcher used one-factor ANOVA for independent samples to examine the effectiveness of four workout videos. Students who enrolled to the study were divided into four groups with n = 21 participants in each group. Each group exercised to a different workout video and afterwards, all participants completed a survey evaluating the effectiveness of their workout. The partial results of the ANOVA conducted on the collected data are shown in the summary table below: Source SS df MS F Between Treatments 36 ____ ____ F = 4.00 Within Treatments ____ ____ Total ____ A. Fill in all the missing values in the table.…Suppose you are a manager for a local clothing store. You want to introduce a new product for an upcoming holiday. You design 8 new products, and take a sample of 16 customers per product design, to determine if any of the products provide a different value to consumers through a rating system. Your one-way ANOVA test reveals a SSTotal of 8762, along with a sum of squares between treatments (SST) of 1204. Using this information, conduct the appropriate one-way ANOVA test, with a significance level of 1%, to determine if any of the products provide a significantly different value to consumers (significantly different average rating). What is the correct result of your analysis? We cannot say that there is a significant difference in value to consumers between the products on average, since the F-statistic of the analysis is smaller than the critical value. We cannot say that there is a significant difference in value to consumers between the products on average, since the F-statistic of…
- A manufacturer of batteries for electronic watches wants to determine how long batteries last. A sample of 8 batteries reveals the following lifetimes (in months): 8, 6, 10, 3, 8, 9, 10, 7. Compute the sample: e) Variancean automobile engineer claims that 1in 10 automobile accidents are due to driver fatigue . if a random sample of 5 accidents observed , then the probabilty that 3 accidentsare due to drive fatigue isAccording to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.38. Suppose a random sample of 105 traffic fatalities in a certain region results in 51 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a = 0.01 level of significance? Because npo (1 - Po 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) can be reasonably assumed to be random, What are the null and alternative hypotheses? is given to be random, cannot be reasonably assumed to be random, Ho: versus H,: (Type integers or decimals. Do not round.) is given to not be random, Find the test statistic, zo. Z0 = (Round to two decimal places as needed.) Find the P-value.…
- 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=The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,95110,951 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 184184 of their customers and calculates that these customers used an average of 11,162kWh11,162kWh of electricity last year. Assuming that the population standard deviation is 1263kWh1263kWh, is there sufficient evidence to support the power company's claim at the 0.050.05 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.If SSBetween = 225.31 and there are four groups in the study with 10 cases per group, MSBetween = :
- If you have samples of n1=19 and n2=24, in performing the pooled-variance t test, how many degrees of freedom do you have?The Substance Abuse and Mental Health Services Administration (SAMHSA, 2017) estimates that 10.9% of the population of the United States age 18–24 had an episode of depression in the previous 12 months. Suppose a researcher takes a random sample of 225 United States adults aged 18–24. Determine the value of the sample proportion, p, such that 5% of samples of 225 United States adults age 18–24 are greater than p. You may find software or a z-table useful. Give your answer precise to three decimal places. p = IIDr. Maddan's eye drops are supposed to cause significant reduction is eye redness. The following table shows the results of a recent study where a random sample of individuals took part in a placebo controlled study. No Reduction in Redness Reduction in Redness Total Eye Drops 120 220 340 No Eye Drops Total 120 140 260 240 360 600 With 5% level of significance, determine if eye redness reduction is dependent upon taking the eye drops. Provide, a. the Chi-square statistic. b. the critical value or the p-value. c. Your decision on whether or not to reject Ho.
