Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 12 Nov 2017 My Price 9.00

treatment response distributions

Suppose not only that the two population or treatment response distributions are normal but also that they have equal variances. Let σ2 denote the common variance. This variance can be estimated by a “pooled” (i.e., combined) sample variance as follows:

(n1 + n2 - 2 is the sum of the df’s contributed by the two samples). It can then be shown that the standardized variable

has a t distribution with n1 + n2 -2 df.

a. Use the t variable above 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, 11.9, 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).

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Maurice Tutor
(5)
Status NEW Posted 12 Nov 2017 02:11 PM My Price 9.00

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