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 750 with a variance of 100 (thread count)^2. Does (his support your suspicion? Carry out a statistical test at level 0.05 to answer this question. Provide a p-value for your test.

Explanation / Answer

Ho : miu = 800

Ha : miu is not 800

Z = ( 750 - 800 ) / srqt ( 100 )

Z = -5

p value : 0.000001 from tables of normal distribution

since p value is lower than level of significance we reject Ho

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