The instruction manual for an IKEA bookshelf claims that it will take 2 people 41 minutes to assemble. A local college student has started a business assembling IKEA furniture. He claims that as an individual it takes him less than 41 minutes to assemble the bookshelf. He examines 38 of his randomly selected bookshelf assembly times and finds that his average was 40.9 minutes with a standard deviation of 2.3 minutes. What can be concluded at the the αα = 0.10 level of significance? Round all answers to 3 decimal places where possible. The null and alternative hypotheses would be: test statistic: p value:
The instruction manual for an IKEA bookshelf claims that it will take 2 people 41 minutes to assemble. A local college student has started a business assembling IKEA furniture. He claims that as an individual it takes him less than 41 minutes to assemble the bookshelf. He examines 38 of his randomly selected bookshelf assembly times and finds that his average was 40.9 minutes with a standard deviation of 2.3 minutes. What can be concluded at the the αα = 0.10 level of significance?
Round all answers to 3 decimal places where possible.
The null and alternative hypotheses would be:
test statistic:
p value:
The Null hypothesis H0: μ = 41.
Alternative hypothesis Ha: μ <41
Here, α =0.10
Since population standard deviation is unknown, t-test is appropriate in this situation.
The type of test statistic is t
Test statistic:
The test statistic for hypothesis test for mean is given by:
t =(x-bar –μ)/(s/√n)
= (40.9-41)/(2.3/√38)
= -0.268
The test statistic is -0.268.
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