htp://www. /Assignment Responses/tubeitdep: 16994 354 , week 11: Exam 3. Chapter
ID: 3356672 • Letter: H
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htp://www. /Assignment Responses/tubeitdep: 16994 354 , week 11: Exam 3. Chapters ..x Assemsbly 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 glven in the table below. Test their claim at the 0.05 significance level DATA (n35) Assembly Time (a) What type of test is this? O This is a two-tailed test O This is a left-tailed test. O This is a right-tailed test. 1.36 statistic? Round your answer to 2 decimal places 2.02 t, = (c) Use software to get the P-value of the test statistic. Round te 4 decinsal places p-value = 2.84 (d) what is the conclusion regarding the null hypothesis? 0 reject M O fail to reject 95 62 2.95 (e) Choose the appropriate condluding statement. O The data supports the claim that the mean assembly time is less than 2 hours ° There is not enough data to support the claim that the mean assembly time is less than 2 hours. wo 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. 05 Additional Materials eBookExplanation / Answer
(a) Let Ho denote the Null Hypothesis and Ha denote the alternate hypothesis and let u denote avg. assembly time
Ho: u<=2 hrs
Ha: u>2 hrs
This therefore is a left tail test as we will be finding the area to the left of the test statistic in the standard normal curve.
(b) The t test statistic t = (x - u) / (s/Sqrt(n)) where x is the sample mean, u is mean of the population, s is the sample standard deviation and n is the number of sample observations
i.e. t = (1.88 - 2)/(0.78/Sqrt(35)) = -0.91
(c) The p value of the test statistic or the area to the left of the test statistic on the t dist curve, which can be found using t dist table or excel = 0.1846
(d) Since p >0.05 (significance level), the conclusion is that we fail to reject the Null Hypothesis
(e) Hence the concluding statement would be
The data supports the claim that the mean assembly time is less than two hours
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