Answer the following questions on the F test statistic. Complete parts (a) through (d) below. 2 a. If s represents the larger of two sample variances, can the F test statistic ever be less than 1? O A. No, because the ratio O B. Yes, because the ratio O C. No, because the ratio $2 2 1 will always be greater than 1. $2 will always be less than 1. $2 2 1 will always be greater than 1. 2 $2 O D. Yes, because the ratio will always be less than 1. $1 b. Can the F test statistic ever be a negative number? O A. No, because sample variances cannot be negative, and the result of dividing the squares of two nonnegative numbers is never negative. O B. Yes, because the numerator and denominator used to calculate the F test statistic can both take or negative and positive values. O C. No, because sample variances are always negative and the result of dividing the squares of two negative numbers is never negative. OD. Yes, because s can take on values from 1 to 1 inclusive. c. If testing the claim that o² o2, what do we know about the two samples if the test statistic is F = 1?

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Answer the following questions on the F test statistic. Complete parts (a) through (d) below.
a. If s represents the larger of two sample variances, can the F test statistic ever be less than 1?
O A. No, because the ratio will always be greater than 1.
S1
2
$₁
O B. Yes, because the ratio will always be less than 1.
$2
1
O C. No, because the ratio will always be greater than 1.
$2
2
$2
O D. Yes, because the ratio
will always be less than 1.
2
$1
b. Can the F test statistic ever be a negative number?
O A.
No, because sample variances cannot be negative, and the result of dividing the squares of two
nonnegative numbers is never negative.
O B. Yes, because the numerator and denominator used to calculate the F test statistic can both take on
negative and positive values.
O C.
No, because sample variances are always negative and the result of dividing the squares of two
negative numbers is never negative.
OD. Yes, because scan take on values from - 1 to 1 inclusive.
c. If testing the claim that o #62, what do we know about the two samples if the test statistic is F = 1?
Transcribed Image Text:Answer the following questions on the F test statistic. Complete parts (a) through (d) below. a. If s represents the larger of two sample variances, can the F test statistic ever be less than 1? O A. No, because the ratio will always be greater than 1. S1 2 $₁ O B. Yes, because the ratio will always be less than 1. $2 1 O C. No, because the ratio will always be greater than 1. $2 2 $2 O D. Yes, because the ratio will always be less than 1. 2 $1 b. Can the F test statistic ever be a negative number? O A. No, because sample variances cannot be negative, and the result of dividing the squares of two nonnegative numbers is never negative. O B. Yes, because the numerator and denominator used to calculate the F test statistic can both take on negative and positive values. O C. No, because sample variances are always negative and the result of dividing the squares of two negative numbers is never negative. OD. Yes, because scan take on values from - 1 to 1 inclusive. c. If testing the claim that o #62, what do we know about the two samples if the test statistic is F = 1?
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