## Related questions with answers

An article in Electronic Components and Technology Conference (Vol. 52, 2001) describes a study comparing single versus dual spindle saw processes for copper metallized wafers. A total of 15 devices of each type were measured for the width of the backside chipouts, $\overline{x}_{\text {single}}=66.385, s_{\text {single}}=7.895 \text { and } \overline{x}_{\text {double}}=45.278, s_{\text {double}}=8.612$ (a) Do the sample data support the claim that both processes have the same chip outputs? Assume that both populations are normally distributed and have the same variance. Answer this question by finding and interpreting the P-value for the test. (b) Construct a 95% two-sided confidence interval on the mean difference in spindle saw process. Compare this interval to the results in part (a). (c) If the $beta-error$ of the test when the true difference in chip outputs is 15 should not exceed 0.1 when $\alpha = 0.05,$ what sample sizes must be used?

Solution

VerifiedGiven:

$\overline{x}_1=66.385$

$s_1=7.895$

$n_1=15$

$\overline{x}_2=45.278$

$s_2=8.612$

$n_2=15$

$c=95\%=0.95$

$\alpha=0.05$

$\Delta=15$

$\beta= 0.1$

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