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 0.01 significance level.
(a) What type of test is this? This is a twotailed test. This is a lefttailed test. This is a righttailed test. (b) What is the test statistic? Round your answer to 2 decimal places. t_{x} = (c) Use software to get the Pvalue of the test statistic. Round to 4 decimal places. Pvalue = (d) What is the conclusion regarding the null hypothesis? reject H_{0} fail to reject H_{0} (e) Choose the appropriate concluding statement. 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. We reject the claim that the mean assembly time is less than 2 hours. We have proven that the mean assembly time is less than 2 hours. 
DATA ( n = 35 )

(a) This is a lefttailed test
(b)
Data:
n = 35
μ = 2
s = 0.7772
xbar = 1.8663
Hypotheses:
Ho: μ ≥ 2
Ha: μ < 2
Decision Rule:
α = 0.01
Degrees of freedom = 35  1 = 34
Critical t score = 2.44114961
Reject Ho if t < 2.44114961
Test Statistic:
SE = s/√n = 0.7772/√35 = 0.131370777
t = (xbar  μ)/SE = (1.8663  2)/0.131370777355001 = 1.02
p value = 0.1580
Decision (in terms of the hypotheses):
Since 1.017730143 > 2.44114961 we fail to reject Ho
Conclusion (in terms of the problem):
There is not enough data to support the claim that the mean assembly time is less than 2 hours.
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