SOLUTION: Sample size of A = 10 Sample mean of A = 29.5 Sample Standard Deviation of A = 0.7 Sample size of B = 9 Sample mean of B = 30.3 Sample Standard Deviation of B = 0.5 Norma

Question 1058361: Sample size of A = 10
Sample mean of A = 29.5
Sample Standard Deviation of A = 0.7
Sample size of B = 9
Sample mean of B = 30.3
Sample Standard Deviation of B = 0.5
Normally distributed random variables.
Let =0.05
Is the variability of A significantly different from B?
Is the mean of A significantly different from B?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's start with the difference in means first.
Null Hypothesis-: or
Alternate Hypothesis-:

Use unpooled standard deviation method,

Rounding down,

Checking the critical t value for and .

Since , reject the null hypothesis.
The sample means are significantly different.
.
.
.
With regards to the variances, are you supposed to use a particular test to check. F test?
In this case,

I used EXCEL with , and to get a p value of .
Since , there is no significant difference between the samples using the variances.

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