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Multiple Choice Question Suppose you are testing to see if there is a difference in population mean lifetime of two brands (1,2) of batteries. Random samples of batteries are taken for each brand and the following data are recorded: Sample 1: $n_1 = 16$, $\bar{X}_1 = 210$, $s_1 = 20$ Sample 2: $n_2 = 21$, $\bar{X}_2 = 225$, $s_2 = 23$ What is the test statistic assuming unequal population standard deviations? O $t = -.15$ O $t = 7.084$ O $t = 34.322 = 34$ O $t = -2.117$

Name: multiple choice question suppose you are testing to see if there is a difference in population mean lifetime of two brands 12 of batteries random samples of batteries are taken for each bran 84425
Uploaded: 2024-03-02T22:35:25-08:00
Duration: 3 min 8 s
Channel: Jerelyn Nevil
Description: multiple choice question suppose you are testing to see if there is a difference in population mean lifetime of two brands 12 of batteries random samples of batteries are taken for each bran 84425

          Multiple Choice Question

Suppose you are testing to see if there is a difference in population mean lifetime of two brands (1,2) of batteries. Random samples of batteries are taken for each brand and the following data are recorded:
Sample 1: $n_1 = 16$, $\bar{X}_1 = 210$, $s_1 = 20$
Sample 2: $n_2 = 21$, $\bar{X}_2 = 225$, $s_2 = 23$
What is the test statistic assuming unequal population standard deviations?

O $t = -.15$
O $t = 7.084$
O $t = 34.322 = 34$
O $t = -2.117$

multiple choice question suppose you are testing to see if there is a difference in population mean lifetime of two brands 12 of batteries random samples of batteries are taken for each bran 84425

Added by Cody E.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Jerelyn Nevil

03/02/2024

Step 1

This is a two-sample t-test for independent samples with unequal variances, also known as Welch's t-test. The formula for the test statistic (t) is: $t = \frac{(\bar{X}_1 - \bar{X}_2) - (\mu_1 - \mu_2)}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}}$ In this Show more…

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Multiple Choice Question Suppose you are testing to see if there is a difference in population mean lifetime of two brands (1,2) of batteries. Random samples of batteries are taken for each brand and the following data are recorded: Sample 1: $n_1 = 16$, $\bar{X}_1 = 210$, $s_1 = 20$ Sample 2: $n_2 = 21$, $\bar{X}_2 = 225$, $s_2 = 23$ What is the test statistic assuming unequal population standard deviations? O $t = -.15$ O $t = 7.084$ O $t = 34.322 = 34$ O $t = -2.117$