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A company that manufactures pavers used in residential landscaping. The company guarantees that the paver average...

A company that manufactures pavers used in residential landscaping. The company guarantees that the
paver average weight is no more than 10kg. However, recently the company has received many complaints
that the pavers are heavier than expected. In an effort to address the customers complaints, the quality
control manager selected a random sample of 40 pavers. The average and standard deviation obtained from
this sample are 10.3kg and 3.1 kg, respectively. At α = 0.10, can it be concluded the pavers average weight
is higher than 10kg? Use the critical value/rejection point method

Math   Statistics-And-Probability   
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Answer #1

H0: 10

Ha: > 10

Test statistics

t = ( - ) / ( S / sqrt(n) )

= ( 10.3 - 10) / (3.1 / sqrt(40) )

= 0.61

t critical value at 0.10 significance level with 39 df = 1.685

Rejecion rule = Reject H0 if t > 1.685

Since test statistics falls in non-rejection region, we fail to reject H0

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