The quality department at an electronics component manufacturer must ensure that their components will operate at prespecified
Question:
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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Step by Step Answer:
Business Statistics Communicating With Numbers
ISBN: 9780078020551
2nd Edition
Authors: Sanjiv Jaggia, Alison Kelly