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Assembly Time: In a sample of 45 adults, the mean assembly time for a child's swing set was 1.76 hours with a standard deviation of

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Assembly Time: In a sample of 45 adults, the mean assembly time for a child's swing set was 1.76 hours with a standard deviation of 0.72 hours. The makers of the swing set ciaim the average assembly time is less than 2 hours. Test their claim at the 0.05 signicance level. (a) What type of test is this? 0 This is a right-tailed test. 0 This is a two-tailed test. 0 This is a lei't-tailed test. (b) What is the test statistic? Round your answer to 2 decimal places. (c) Use software to get the P-value of the test statistic. Round to 4 decimal places. (d) What is the conclusion regarding the null hypothesis? 0 reject Ho 0 fail to reject H0 (e) Choose the appropriate concluding statement. 0 The data supports the claim that the mean assembly time is less than 2 hours. 0 There is not enough data to support the claim that the mean assembly time is less than 2 hours. 0 We reject the claim that the mean assembly time is less than 2 hours. 0 We have proven that that the mean assembly time is less than 2 hours. Assembly Time (Raw Data, Software Required): The makers of a child's swing set claim that the average assembly time is less than 2 hours. A sample of 35 assembly times (in hours) for this swing set is given in the table below. Test their claim at the 0.10 significance level. (a) What type of test is this? DATA ( n = O This is a right-tailed test. 35 ) Assembly O This is a left-tailed test. Time Hours O This is a two-tailed test. 0.91 2.4: (b) What is the test statistic? Round your answer to 2 decimal places. 1.23 t= = 1.85 1.83 (c) Use software to get the P-value of the test statistic. Round to 4 decimal places. P-value = 2.07 0.82 (d) What is the conclusion regarding the null hypothesis? 2.00 O reject Ho 1.21 2.63 O fail to reject Ho 3.07 1.65 (e) Choose the appropriate concluding statement. 1.44 O The data supports the claim that the mean assembly time is less than 2 hours. 2.72 O There is not enough data to support the claim that the mean assembly time is 0.73 less than 2 hours. 0.48 2.20 O We reject the claim that the mean assembly time is less than 2 hours. 0.03 O We have proven that that the mean assembly time is less than 2 hours. 1.15 1.79 2.30 1.91 1.38 0.73 0.93 2.35 2.31 1.25 3.38 1.17 1.55 2.1: 0.48 2.21 2.35

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