A linen company produces bed sheets that they claim are 800 thread count on aver

Question

A linen company produces bed sheets that they claim are 800 thread count on average. You try them out, and you think that they feel a bit thin to have an average thread count of 800. You look at 40 other randomly selected sets of sheets from this company and examine their thread counts. You find that they average a thread count of 780 with a variance of 100 (thread count)^2. Does this support your suspicion? Carry out a statistical test at level 0.05 to answer this question. Provide and interpret a p-value for your test.

Explanation / Answer

Ho : miu = 800

Ha : miu is not 800

t = ( 780 - 800 ) / ( srqt ( 100 / 40 ) )

t = - 12.649

p value : 0.00000

since t value is very lower we can say that we reject Ho

conclusion there is enough evidence to support the suspicion that the average is not 800

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