The quality department at an electronics component manufacturer must ensure that their components will operate at prespecified

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The quality department at an electronics component manufacturer must ensure that their components will operate at prespecified levels. The accompanying table shows a frequency distribution with measured resistance values (in ohms) for a sample of 520 resistors. The sample mean and the sample standard deviation are 4790 ohms and 40 ohms, respectively.

Resistance (ohms) ....................... Frequency

Under 4740 .................................. 44

4740 up to 4780 ........................... 145

4780 up to 4820 ........................... 197

4820 up to 4860 ........................... 107

4860 or more ................................ 27

...................................... Total = 520

a. Using the goodness-of-fit test for normality, state the competing hypotheses to test if the sample data suggest that resistance does not follow the normal distribution.

b. At α = 0.05, what is the critical value?

c. Calculate the value of the test statistic.

d. What is the conclusion to the test? Would your conclusion change at the 10% significance level?

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