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Question

Following are some summaries of the data from two separate samples drawn from normal distributions:

$\begin{array}{ccc} \hline \text { Sample } & n & s^2 \\ \hline 1 & 11 & 3.5 \\ 2 & 16 & 9.1 \\ \hline \end{array}$

At the $5 %$ significance level, you want to test the null hypothesis, which states that the two population standard deviations are equal, against the twosided alternative. (a)Calculate the test statistic in step. (b) Obtain the necessary value from Table $mathrmE$ to do the significance test. (c)What do you deduce from ?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 7$\bold{a)}$ First, state what is given in the task:

$\begin{aligned} n_1 &= 11,\\ n_2 &= 16,\\ s_1^2 &= 3.5,\\ s_2^2 &= 9.1.\\ \end{aligned}$

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