1. When constructing confidence intervals and conducting hypothesis tests for the comparison of two population means µ1 and 42, we analyze the difference (- 42). In doing so, we turn to the sampling distribution of (7- 1). a) The mean, HT-) of the sampling distribution of ( - 7) is equal to (i) Hi42 (ii) µỉ – 13 (iii) (iv) µ1- 42 b) Suppose the two populations have standard deviations o, and o2, and the sample sizes are, respectively, n and n2 (and that the samples are independent). Then the standard deviation, o-), of the sampling distribution of (TT- 7) is equal to (i) ato (ii) of - ož (iii) (iv) ø102 c) Due to the Central Limit Theorem, for large sample sizes (n 2 30 and n2 2 30), the sampling distribution of (7T – 77) is (approximately) (i) normal (ii) uniform (iii) exponential (iv) log-normal d) Also, for large sample sizes, si and sž will provide good approximations to of and of. Therefore, for large sample sizes, we can approximate o- using (ii) si - s3 (ii) V+ (i) t (iv) $182

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1. When constructing confidence intervals and conducting hypothesis tests for the comparison of two
population means µi and 42, we analyze the difference (41 - 42). In doing so, we turn to the sampling
distribution of (TI – F2).
a) The mean, HT-3), of the sampling distribution of (Fī – 12) is equal to
(i) HI42
(ii) uỉ – 13
(iii)
H2
( iv ) μι - μ2
b) Suppose the two populations have standard deviations o1 and o2, and the sample sizes are, respectively,
nị and n2 (and that the samples are independent). Then the standard deviation, o(7-7), of the sampling
distribution of (T- F2) is equal to
(i)
(ii) of – o
(ii)
(iv) đ102
c) Due to the Central Limit Theorem, for large sample sizes (n 2 30 and ng 2 30), the sampling
distribution of (FT – F2) is (approximately)
(i) normal
(ii) uniform
(iii) exponential
(iv) log-normal
d) Also, for large sample sizes, s? and s will provide good approximations to of and of. Therefore, for
large sample sizes, we can approximate o- using
(i)
(ii) sỉ – sỉ
(iii)
(iv) $182
Transcribed Image Text:1. When constructing confidence intervals and conducting hypothesis tests for the comparison of two population means µi and 42, we analyze the difference (41 - 42). In doing so, we turn to the sampling distribution of (TI – F2). a) The mean, HT-3), of the sampling distribution of (Fī – 12) is equal to (i) HI42 (ii) uỉ – 13 (iii) H2 ( iv ) μι - μ2 b) Suppose the two populations have standard deviations o1 and o2, and the sample sizes are, respectively, nị and n2 (and that the samples are independent). Then the standard deviation, o(7-7), of the sampling distribution of (T- F2) is equal to (i) (ii) of – o (ii) (iv) đ102 c) Due to the Central Limit Theorem, for large sample sizes (n 2 30 and ng 2 30), the sampling distribution of (FT – F2) is (approximately) (i) normal (ii) uniform (iii) exponential (iv) log-normal d) Also, for large sample sizes, s? and s will provide good approximations to of and of. Therefore, for large sample sizes, we can approximate o- using (i) (ii) sỉ – sỉ (iii) (iv) $182
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