1(a) A researcher hypothesized that joining a fitness training program could result in change of weight. To test this hypothesis empirically, 15 participants were invited to complete the fitness training program. The changes of weight (in kg) of the 15 participants were found to be -1.0, -1.1, -1.2, -0.9, -0.8, -0.1, -0.4, -0.6, -0.9, -0.3, -0.5, -0.9, -1.5, -1.1, and -1.3 respectively. (i) State the non-directional null and alternative hypothesis of this study. Using .05 as the level of significance, conduct an appropriate statistical test on the results and state (ii) the steps to compute the test statistics; and(iii) the conclusion of your statistical test and your reasoning to arrive at your conclusion. (b)If the mean height of a population of university students is 166cm (μ=166) and the standard deviation is 8cm (? = 8): (i) What is the probability of drawing a random sample of university students whose mean height is larger than 168cm if sample size is equal to 1. 30? 2. 100?
1(a) A researcher hypothesized that joining a fitness training program could result in change of weight. To test this hypothesis empirically, 15 participants were invited to complete the fitness training program. The changes of weight (in kg) of the 15 participants were found to be -1.0, -1.1, -1.2, -0.9, -0.8, -0.1, -0.4, -0.6, -0.9, -0.3, -0.5, -0.9, -1.5, -1.1, and -1.3 respectively.
(i) State the non-directional null and alternative hypothesis of this study.
Using .05 as the level of significance, conduct an appropriate statistical test on the results and state
(ii) the steps to compute the test statistics; and
(iii) the conclusion of your statistical test and your reasoning to arrive at your conclusion.
(b)If the mean height of a population of university students is 166cm (μ=166) and the standard deviation is 8cm (? = 8):
(i) What is the probability of drawing a random sample of university students whose mean height is larger than 168cm if sample size is equal to
1. 30?
2. 100?
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