Consider the pooled t variable which has a t distribution with m n 2 df when both population distributions are normal with Iuml 1 Iuml 2 (see the Pooled t Procedures subsection for a description of Sp) a Use this t variable to obtain a pooled t confidence interval formula for micro 1 micro 2 b A sa...

a Following the usual format for most confidence intervals statistic critical v ...

Consider the pooled t variable which has a t distribution with m = n - 2 df

Question:

Consider the pooled t variable

which has a t distribution with m = n - 2 df when both population distributions are normal with Ïƒ1 = Ïƒ2 (see the Pooled t Procedures subsection for a description of Sp).
a. Use this t variable to obtain a pooled t confidence interval formula for µ1-µ2
b. A sample of ultrasonic humidifiers of one particular brand was selected for which the observations on maximum output of moisture (oz) in a controlled chamber were 14.0, 14.3, 12.2, and 15.1. A sample of the second brand gave output values 12.1, 13.6, 1 9, and 11.2 ("Multiple Comparisons of Means Using Simultaneous Confidence Intervals," J. of Quality Technology, 1989: 232-241). Use the pooled t formula from part (a) to estimate the difference between true average outputs for the two brands with a 95% confidence interval.
c. Estimate the difference between the two µ's using the two-sample t interval discussed in this section, and compare it to the interval of part (b).

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...