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A newly hired basketball coach promised a high-paced attack that will put more points on the board than the team's previously tepid offense historically managed.After a few months,the team owner looks at the data to test the coach's claim.He takes a sample of 36 of the team's games under the new coach and finds that they scored an average of 101 points with a standard deviation of 6 points.Over the past 10 years,the team had averaged 99 points.What is(are) the appropriate critical value(s) to test the new coach's claim at the 1% significance level?
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