In a process that manufacturers tungsten-coated silicon wafers, the target resis

Question

In a process that manufacturers tungsten-coated silicon wafers, the target resistance for a wafer is 85m. In a simple random sample of 39 wafers was 85.15 m, and the standard deviation was 1.52 m. Let represent the mean resistance of the wafers manufactured by this process. A quality engineer tests the following hypotheses: (use a level of significance =0.01

H0:=85H1:85

The test statistic is.

The P-Value is.

The final conclusion is
A. There is not enough evidence to reject the claim that the mean is on target.
B. There is sufficient evidence to reject the claim that the mean is on target.

Explanation / Answer

Test statistic = (X bar - mean) /(s/ sqrt(n))

= (85.15 - 85) / (1.52 / sqrt (39))

= 0.6163

P-value = 2 * P(t > 0.6163) = 2 * 0.2707 = 0.5414

Since P-value is greater than significance level of 0.01, we should not reject the null hypothesis

Option-A)

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