An article in Electronic Components and Technology Conference (Vol. 52, 2001, pp 1167-1171) describes a study comparing single versus dual spindle saw processes copper metallized wafers. A total of nsingle = 10 devices of the single saw type and a total of ndouble = 12 devices of the double saw type were measured for the width of the backside chipouts. The sample mean chipouts for the single saw type were sin = 68.9 with a sample standard deviation of sgingle = 7.3. The sample mean chipouts the double saw type were double = 49.0 with a sample standard deviation of sdoubl 8.7. Assume that both populations are normally distributed and have the same variance %3D Calculate the upper bound of a 95% two-sided confidence interval on the mean difference in spindle saw process where the difference is "single - double". Enter yo answer to two decimal places. Hint: The formula for a confidence interval using the pooled variance (assumes equ variances) is (1 - T2) ±ta/2,n +ng-2 * Sp * V1/n1 +1/n2

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An article in the Electronic Components and Technology Conference (Vol. 52, 2001, pp. 1167–1171) describes a study comparing single versus dual spindle saw processes on copper metallized wafers. A total of \( n_{\text{single}} = 10 \) devices of the single saw type and a total of \( n_{\text{double}} = 12 \) devices of the double saw type were measured for the width of the backside chipouts. The sample mean chipouts for the single saw type were \( \bar{x}_{\text{single}} = 68.9 \) with a sample standard deviation of \( s_{\text{single}} = 7.3 \). The sample mean chipouts for the double saw type were \( \bar{x}_{\text{double}} = 49.0 \) with a sample standard deviation of \( s_{\text{double}} = 8.7 \).

**Assume that both populations are normally distributed and have the same variance.** Calculate the upper bound of a 95% two-sided confidence interval on the mean difference in spindle saw process where the difference is "single - double". Enter your answer to two decimal places.

**Hint:** The formula for a confidence interval using the pooled variance (assumes equal variances) is 

\[
(\bar{x}_1 - \bar{x}_2) \pm t_{\alpha/2, n_1 + n_2 - 2} \times s_p \times \sqrt{\frac{1}{n_1} + \frac{1}{n_2}}
\]
Transcribed Image Text:An article in the Electronic Components and Technology Conference (Vol. 52, 2001, pp. 1167–1171) describes a study comparing single versus dual spindle saw processes on copper metallized wafers. A total of \( n_{\text{single}} = 10 \) devices of the single saw type and a total of \( n_{\text{double}} = 12 \) devices of the double saw type were measured for the width of the backside chipouts. The sample mean chipouts for the single saw type were \( \bar{x}_{\text{single}} = 68.9 \) with a sample standard deviation of \( s_{\text{single}} = 7.3 \). The sample mean chipouts for the double saw type were \( \bar{x}_{\text{double}} = 49.0 \) with a sample standard deviation of \( s_{\text{double}} = 8.7 \). **Assume that both populations are normally distributed and have the same variance.** Calculate the upper bound of a 95% two-sided confidence interval on the mean difference in spindle saw process where the difference is "single - double". Enter your answer to two decimal places. **Hint:** The formula for a confidence interval using the pooled variance (assumes equal variances) is \[ (\bar{x}_1 - \bar{x}_2) \pm t_{\alpha/2, n_1 + n_2 - 2} \times s_p \times \sqrt{\frac{1}{n_1} + \frac{1}{n_2}} \]
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