Refer to Table 10.3, in which the sizes of U-bolts by taking samples of 5 every hour over three shifts from a population with mean μ and standard deviation σ .

In Table 10.3, the means of the 24 samples are also given. By considering the means of the 24 samples as a random sample from a population with mean μ

and standard deviation σ=√24, test whether the population mean μ is significantly deviates from 10 in..

Table 10.3

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Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 10.65 10.75 10.75 10.60 10.70 10.60 10.60 10.75 10.65 10.60 10.80 10.85 10.70 10.65 10.75 10.90 10.75 10.75 10.65 10.60 10.50 10.80 10.65 10.65 Observations 10.70 10.65 10.85 10.75 10.80 10.80 10.70 10.70 10.75 10.65 10.75 10.75 10.80 10.70 10.80 10.80 10.70 10.75 10.75 10.70 10.70 10.80 10.80 10.70 10.70 10.65 10.60 10.55 10.65 10.60 10.70 10.65 10.85 10.60 10.90 10.85 10.75 10.85 10.75 10.80 10.85 10.60 10.85 10.65 10.65 10.75 10.65 10.70 10.65 10.85 10.70 10.75 10.85 10.85 10.75 10.75 10.85 10.80 10.50 10.65 10.75 10.75 10.80 10.75 10.70 10.70 10.65 10.55 10.80 10.65 10.60 10.60 Mean 10.85 10.70 10.65 10.77 10.75 10.76 10.65 10.68 10.80 10.75 10.70 10.73 10.75 10.72 10.70 10.73 10.75 10.78 10.65 10.85 10.70 10.70 10.60 10.65 10.85 10.80 10.60 10.70 10.65 10.80 10.65 10.70 10.65 10.67 10.76 10.76 10.72 10.71 10.75 10.82 10.76 10.67 10.70 10.61 10.66 10.70 10.64 10.66 Range 0.20 0.20 0.10 0.15 0.20 0.25 0.20 0.15 0.20 0.20 0.40 0.20 0.05 0.25 0.15 0.15 0.15 0.15 0.20 0.10 0.30 0.15 0.10 0.10