12. consider independent andom samples or sizes-10 and 2 variances with -O.O1 6f

Question

12. consider independent andom samples or sizes-10 and 2 variances with -O.O1 6from normal populations. Also, se 436 42 and 522 8.36 Hypotheses are o ,and . onducta ne sided, right I d hypothesis est once ng the popula o n Identify the correct conclusion. o There is evidence to suggest population var iance 1 is ditferent from populatien variance 2. 1 here isno evidence to suggest papulatian vanance 1 15 dfferent from puulation variance 2. Identify the haunds Dn thevalue menclated with this hypothesis test. D.040.07

Explanation / Answer

Test statistic F= s12 / s22 = 436.42/98.36 = 4.44

The p value for F= 4.44 with (10-1, 16-1) degrees of freedom is 0.0055

Since p value is less than 0.01, the significance level

We reject the null hypothesis

There is evidence to suggest that population variance 1 is different from population variance 2

The bound for p value is 0.001< p < 0.01

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