Tom is a big Green Bay Packers and Aaron Rodgers fan. He claims that Aaron Rodger's average number of touchdowns per game is 2.47. Dave (a hardcore Bears fan) believes that Tom might be inflating...


Tom is a big Green Bay Packers and Aaron Rodgers fan. He claims that Aaron Rodger's average number of<br>touchdowns per game is 2.47. Dave (a hardcore Bears fan) believes that Tom might be inflating Rodgers'<br>statistics. From his debut until November 18, 2019, Aaron Rodgers have played 175 games! So Dave does not<br>want to look at all of them. He randomly selects 50 games that Rodgers played and finds the sample average<br>number of touchdowns to be 1.9 with a standard deviation of 1.147.<br>Do a hypothesis test and state your conclusion. Use the significance level a = 0.01.<br>1. Which of the following hypothesis tests should we use?<br>O (a) One-sided two-sample z-test<br>O (b) Two-sided one-sample z-test<br>O (c) Two-sided two-sample z-test<br>O (d) One-sided one-sample z-test<br>2. Choose the correct null hypothesis and alternative hypothesis.<br>O (a) Ho : mean = 1.9 vs. Ha : mean > 1.9<br>O (b) Ho : mean = 2.47 vs. Ha: mean < 2.47<br>O (c) Ho : mean = 1.9 vs. Ha : mean = 2.47<br>O (d) Ho : mean = 2.47 vs. Ha : mean + 2.47<br>3. Compute the test statistic for the test that you chose above.<br>Make sure your answer contains EXACTLY 3 digits after the decimal point.<br>Test statistic:<br>number (rtol=0.01, atol=1e-08)<br>

Extracted text: Tom is a big Green Bay Packers and Aaron Rodgers fan. He claims that Aaron Rodger's average number of touchdowns per game is 2.47. Dave (a hardcore Bears fan) believes that Tom might be inflating Rodgers' statistics. From his debut until November 18, 2019, Aaron Rodgers have played 175 games! So Dave does not want to look at all of them. He randomly selects 50 games that Rodgers played and finds the sample average number of touchdowns to be 1.9 with a standard deviation of 1.147. Do a hypothesis test and state your conclusion. Use the significance level a = 0.01. 1. Which of the following hypothesis tests should we use? O (a) One-sided two-sample z-test O (b) Two-sided one-sample z-test O (c) Two-sided two-sample z-test O (d) One-sided one-sample z-test 2. Choose the correct null hypothesis and alternative hypothesis. O (a) Ho : mean = 1.9 vs. Ha : mean > 1.9 O (b) Ho : mean = 2.47 vs. Ha: mean < 2.47="" o="" (c)="" ho="" :="" mean="1.9" vs.="" ha="" :="" mean="2.47" o="" (d)="" ho="" :="" mean="2.47" vs.="" ha="" :="" mean="" +="" 2.47="" 3.="" compute="" the="" test="" statistic="" for="" the="" test="" that="" you="" chose="" above.="" make="" sure="" your="" answer="" contains="" exactly="" 3="" digits="" after="" the="" decimal="" point.="" test="" statistic:="" number="" (rtol="0.01," atol="">

Jun 04, 2022
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