Compute the x² value (test statistic) for this scenario.
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- A research study investigated the composition of wines from the Rhine and Moselle wine regionsof Germany. One component measured was the concentration of i-Butyl alcohol. The results ofthe study are listed in the following table:Region n i-Butyl alcohol (mg/100ml)Rhine 9 ̄x =5.32,s =2.24Moselle 14 ̄x =3.62,s =0.97(a) Assume that the underlying population variances from the two regions are identical. At the0.05 level of significance, test the null hypothesis that the mean concentration of i-Butylalcohol is the same for wines from the Rhine and Moselle regions.Construct a 95% confidence interval(b) Now assume that the underlying population variances from the two regions differ. At the 0.05level of significance, test the null hypothesis that the mean concentration of i-Butyl alcohol isthe same for wines from the Rhine and Moselle regions, construct a 95% confidence interval(c) If you were to provide a report to the investigators which of the above results would youinclude and why?Has the Percentage of U.S. Adults Who Smoke Decreased since 2007? With data from the 2005-2007 National Health Interview Survey, the Centers for Disease Control and Prevention estimated that about 20% of U.S. adults (18 and older) smoke. Is the percentage lower this year? Suppose we select a random sample of 100 adults (18 and older) this year. The conditions are met for use of a normal model, because we expect 20 smokers (20% of 100) in the sample and 80 nonsmokers. Both expected counts are greater than 10, so we use a z-score and a standard normal curve to assess the evidence. (The standard error is 0.04.) Suppose that 15 in our sample of 100 are smokers. Which conclusion is supported by the data? We cannot conclude that the percentage of U.S. adults (18 and older) who smoke is less than 20% this year. We can conclude that the percentage of U.S. adults (18 and older) who smoke is less than 20% this year. Incorrect. You are right that the percentage in the sample is 15% and this is…You collect data on coronavirus cases from a random sample of cities of similar sizes in cold climates and in warm climates and make the following table: (This data can be copied into Excel.) You use this data to answer the research question: is the population average number of coronavirus cases different in warm cities and cold cities? You assume that the variances of coronavirus cases are not equal across cold cities and warm cities. What is the p-value associated with your hypothesis test? Round your answer to four decimal places.
- According to the JPM Riskmetrics analysis report, the return on a UK-based portfolio is bigger than +2% on average. You collect a sample of 20 observations on past returns on the portfolio (all assets in the portfolio are equally weighted and the weights are unchanged over time). The sample mean is 2.03% and the sample variance is 1%. Is the claim made by JPM supported by the data? Make sure to state any assumptions you need to address this question.The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of fifteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation y = 40.63 - 0.46x . This line is shown in the scatter plot below. Mileage, x(in thousands) Used selling price, y(in thousands of dollars) 23.9 29.5 37.6 22.6 20.8 30.9 23.3 33.1 28.3 26.1 27.3 29.9 27.7 29.8 20.9 30.3 25.8 27.2 34.4 25.9 23.9 27.4 23.8 27.5 23.2 31.4 15.6 34.0 29.4 27.7 Send…Snow avalanches can be a real problem for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of civil engineering at the University of British Columbia. Suppose slab avalanches studied in a region of Canada had an average thickness of u = 67 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample of avalanches in spring gave the following thicknesses (in cm). 59 51 76 38 65 54 49 62 68 55 64 67 63 74 65 79 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X= cm S= cm (ii) Assume the slab thickness has an approximately normal distribution. Use a 1% level of significance to test the claim that the mean slab thickness in the Vail region is different from that in the region of Canada. (a) What is the level of significance? State the null and…
- Let’s say you have a study looking at the DV “Time to help”. Your IV is whether potential helpers did not see (condition #1) or saw (condition #2) someone else helping. The mean time to help for those in condition #1 was 58 seconds (variance was 2.81). The mean time to help for those in condition #2 was 55 seconds (variance was 3.06). First, tell me what Cohen’s d (pooled) is. Second, tell me if the effect size is meaningful in terms or magnitude!The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of fifteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation y = 40.86-0.45x. This line is shown in the scatter plot below. Mileage, x (in thousands) 29.7 27.8 26.8 24.2 21.1 23.0 24.3 15.4 37.7 23.6 34.4 27.8 23.5 20.9 259 Used selling price, y (in thousands of dollars) 27.4 29.4 31.2 30.1 31.7 31.7 27.2 34.2 23.4 28.2 26.3 26.5 33.7 30.6 267 Used selling price (in thousands of dollars) 40- 35+ 30- 25- 20 THIS 15 X 20 X X X 30 Mileagex (in thousands) X 35 40A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.
- Qualitative researchers should view the opinions of other researchers about the themes derived from data analysis as biased. This is because other researchers would not be as familiar with the results as the researcher. True False A researcher has conducted a crosstabs analysis to understand the distribution of income across 3 different gender groups (male, female and non-binary). They notes that the Chi-square test produced an asymptotic significance level of 0.027. What does this suggest? (pick the most appropriate interpretation) Income does not vary across different genders Income does not differ across the different grouops There are significant differences in the distribution of income for the male, female and non-binary groups The male group has sufficiently more income compared to the female and non-binary groupsA traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data table, the distribution shows the proportion of fatalities by location of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for 2073 riders not wearing a helmet. Complete parts (a) and (b) below. (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use α = 0.10 level of significance. What are the null and alternative hypotheses? A. Ho: The distribution of fatal injuries for riders not wearing a helmet follows the same distribution for all other riders. H₁: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. B. Ho: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. H₁: The distribution of fatal injuries for…Post-hoc tests are necessary for an analysis of variance comparing only two treatment conditions. t or f