These values were obtained using the qnorm () function in R. Test the following hypotheses at 5% level, assuming that the data are normally distributed with the given variances: i) o² = 4, n = 16, = 2.9, Ho: μ = 2. ii) o² = 4, n = 16, x = 2.9, Ho: μ≤ 2. iii) o² = 2, n = 10, x = -0.3 o² = 3, ny = 20, y = 0.2 Ho: μα fly. = iv) o² = 2, nx -0.3 o² = 3, ny = 20, y = 0.2 Ho: με Σ My· - = 10, x=

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L3. The following table lists (1 - a)-quantiles of N(0, 1), commonly used in hypothesis tests:
10% 5% 2.5% 1%
1.282 1.645 1.960 2.326
a
qa
These values were obtained using the qnorm () function in R. Test the following hypotheses
at 5% level, assuming that the data are normally distributed with the given variances:
i) o² = 4, n= = 16, x = 2.9, Ho: μ = 2.
ii) o² = 4, n = = 16, x = 2.9, Ho: µ ≤ 2.
iii) o² = 2, nx
iv)
= = 10, x = -0.3
o² = 3, ny = 20, y = 0.2
Ho: |x = [y•
= 2, nx = 10, x= -0.3
= 20, y = 0.2
= 3, ny
Ho: μα < My·
Transcribed Image Text:L3. The following table lists (1 - a)-quantiles of N(0, 1), commonly used in hypothesis tests: 10% 5% 2.5% 1% 1.282 1.645 1.960 2.326 a qa These values were obtained using the qnorm () function in R. Test the following hypotheses at 5% level, assuming that the data are normally distributed with the given variances: i) o² = 4, n= = 16, x = 2.9, Ho: μ = 2. ii) o² = 4, n = = 16, x = 2.9, Ho: µ ≤ 2. iii) o² = 2, nx iv) = = 10, x = -0.3 o² = 3, ny = 20, y = 0.2 Ho: |x = [y• = 2, nx = 10, x= -0.3 = 20, y = 0.2 = 3, ny Ho: μα < My·
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