Manufacturing and Product Development The left outside panel of an apartment-siz

Question

Manufacturing and Product Development The left outside panel of an apartment-size, frost-free refrigerator is designed to have width 23 5/8 inches. Each hour, 10 such panels are randomly selected from the assembly line and carefully measured. If there is any evidence that the mean width is different from 23 5/8 inches, the assembly line is shut down for cleaning and inspection. Suppose the distribution of panel widths is normal and sigma = 0.15. a. During a specific hour of operation, x = 23.7 inches. Should the assembly line be shut down? Use alpha = 0.05. b. Using alpha = 0.05, find the critical values in the x world.

Explanation / Answer

ho : x= 23 5/8

h1 : x 23 5/8

calculated value

of t= x - x / s.e

t = 23 5/8 - 23.7 / 0.15

t = 23.62 - 23.7 / 0.15

t = -0.53

table value at 5% level of significance at n-1 degree of freedom( 10-1) is 1.83

since table value > calculated value

we will accept the null hypostheis

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