Two people are arguing about the size of different breeds of dogs. One believes that German shepherds are larger than huskies, while the other person believes the opposite is true. They conduct a study to see which one of them is correct. They sample the weights of ten dogs of each breed. The data are as follows: German Shepherds: 55, 72, 61, 43, 59, 70, 67, 49, 55, 63 Huskies: 48, 77, 46, 51, 60, 44, 53, 61, 52, 41 (a) Should a one-tailed or two-tailed test be conducted? Why? (b) Conduct the appropriate test with alpha = 0.05. Which breed is larger or are they the same?

Suppose that a middle school is using two different teaching formats for their 6th grade math classes: In-Person and Online. At the end of the school year the 6th grade students are given a test where their math skills are scored as Excellent, Proficient, Needs Improvement, or At-Risk. The middle school collects the following data: Excellent Proficient Needs Improvement At-Risk (a) What was the sample size in this study? In Person 39 75 59 18 Online 11 51 6 15 (b) What percentage of the sample were students that took an In-Person class AND scored Excellent on their test? (c) What percentage of the sample were students that took an Online class OR scored Needs Improvement on their test? (d) Construct the conditional distribution based on teaching format. Which teaching format had the HIGHEST rate of At Risk scores? What was that rate? (f) Use the conditional distribution to give a one or two sentence argument for why In-Person classes seem to be the more successful teaching format. (g)…

A study claims that the Netherlands has the tallest adults of any country with an average height of 6.14 ft. Trent wants to test this claim. He randomly measures the heights of 31 dutch adults and obtains the following data, in feet: 5.23, 6.6, 5.67, 6.44, 7.39, 6.14, 5.86, 4.09, 5.6, 5.68, 6.13, 5.87, 3.95, 5.61, 5.69, 6.83, 7.45, 6.03, 5.5, 5.75, 6.94, 5.65, 7.64, 2.83, 4.42, 5.5, 6.21, 6.53, 6.75, 6.01, 4.35 Should Trent reject the claim? Step 1: State the hypothesis. ? v = Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(? v? v P(?v?

a) TV stations use ratings to decide which shows to keep or cancel. Therefore, the A. C. Nielsen Company collects data on the TV viewing habits of Americans and publishes the information in Nielsen Report on Television. Suppose that you want to use a paired sample to decide whether the mean viewing times of married men and married women differ; Identify the variable. Identify the two populations. Identify the pairs. Identify the paired-difference variable. Determine the null and alternative hypotheses. Classify the hypothesis test as two tailed, left tailed, or right tailed.   (b) State one possible advantage of using paired samples instead of independent samples