2 For each of the following, the random variable X~ N(u, o²), with known standard deviation. A random sample of size n is taken from the parent population and the sample mean, x, is calculated. Carry out hypotheses tests, given H, and H,, at the significance level indicated. H, H, Sig. level (i) 8 6. 195 u = 190 u > 190 5% (ii) 10 10 47.5 µ = 55 µ < 55 1% (iii) 15 25 104.7 µ = 100 M ± 100 10%

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