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1.STATISTICAL INFERENCE
Question 1 a i)
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- Cars and trucks We have data on the city and highwayfuel efficiency of 316 cars and 316 trucks.a) Would it be appropriate to use paired t methods tocompare the cars and the trucks?b) Would it be appropriate to use paired t methods tocompare the city and highway fuel efficiencies ofthese vehicles?c) A histogram of the differences (highway – city) isshown. Are the conditions for inference satisfied?A B CThe correlation statistic is a number a) between 0 and 1 and a number further from 0 indicates a stronger correlation b) between -1 and 1 and a number closer to 0 indicates a stronger correlation c) between -1 and 0 and a number further from 0 indicates a stronger correlation d) between -1 and 1 and a number further from 0 indicates a stronger correlation
- 9) A hypothesis test is to be conducted using the claim that the mean hourly wage of employess in a large company is at least $21. What are the null and alternative hypothesis? pick one a H 0 : 21 vs H a : < 21 b H 0 : μ ≤ 21 vs H a : μ > 21 c H 0 : μ 21 vs H a : μ < 21 d H 0 : p 21 vs H a : p < 2A and B pleaseConstruct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.) Click the icon to view the frequency distributions. Complete the relative frequency table below. Relative Frequency (Filtered) % Tar (mg) 6-9 10-13 14-17 18-21 22-25 Relative Frequency (Nonfiltered) % % % % % % % do d % %
- We want to know if the average rating of attractiveness (1=homely, 5=stunning) of a typical person differs depending on the state they are located in. We believe that there will be significant differences in the average attractiveness of the people at each of the four states we examine. 1) Report (in words or statistical notation), our null and alternative hypothesis: Provided are the data we collected from four different states: OR, WA, ID, and CA (see below): OR WA ID CA X bar 3.01 3.07 2.88 3.7 SD 0.42 0.60 0.46 0.30 n 10 10 10 9 SS 92.19 97.47 84.84 123.95 2) Given that we have more than two samples, we need to conduct a one-way ANOVA. Conduct the test in order to calculate the F-statistic addressing our hypothesis. Be sure to calculate the grand mean and the between-groups & within-groups mean-squares first (also don’t forget to round to 2 decimal places and report the formulas!!): 3.) Calculate the degrees…Using the Venn Diagram from the last question find probabilitiy P(no donuts and no common rolls) show work.A researcher wants to see if there is a difference in APGAR scores of newborns depending on whether the mother smoked during pregnancy or not. She collects data and analyzes the results using SPSS. What is the correct way to report the results in APA style? Question 23 options: t(58) = 3.288, p>.05 t(58) = 3.288, p= .002 t(26.5) = 3.278, p<.05 t(26.5) =3.278, p=.003
- II. calculate the probabil ities 1. P(011-The production numbers for five days in a factory producing three different products are given in the Table. Production numbers do not satisfy parametric assumptions . When investigating whether there is a difference between the production numbers of different products at the 0.05 significance level, which of the following is the test statistic? A) 6,43 B) 13,38 C) 10,53 D) 1,72 E) 2,563.) In a particular epidemic disease, 400 individuals were surveyed by a well-established pharmaceutical company to determine if the company’s new vaccine was effective after 4 months. Among the 120 individuals who had that disease and were given the shot, 29 were cured and achieved immunity after 4 months. Among 280 individuals who had the disease but were not given the shot, 56 were cured and achieved immunity after 4 months. Is there enough statistical evidence to support the company’s claim of the effectiveness of the vaccine?