What do we call the conditions under which the null hypothesis is not rejected?
Answer(s): B
The decision rule lays out the conditions under which we may compare the z values and decide whether or not to reject the hypothesis.
If the alternative hypothesis states that u(Mu) > 6,700, what is the rejection region for the hypothesis test?
Answer(s): D
Since the alternative is that Mu is bigger than the mean, then it will be located at the upper tail.
A light bulb manufacturer would like to supply only those bulbs which have a life of 2,000 hours or more. Otherwise, it wants the bulbs to be rejected at the assembly line. The statistician hired by the bulb manufacturer is trying to frame the situation as a hypothesis testing problem. He should specify the null and alternate hypothesis as:
In any experiment, you have a natural candidate for a default hypothesis that is maintained to be true until there is sufficient evidence to reject it. This is the hypothesis that must be selected as the null. Inthe present example, the manufacturer is in the business of supplying bulbs which have an average life of more than 2000 hours. So it is logical to assume that the processes usually produce such bulbs and occasionally produce faulty bulbs which have a shorter average life. Hence, the null hypothesis must be that any given bulb has an average life of more than 2000 hours and the alternative hypothesis must be the complement (i.e. average life is less than 2000 hours).
The larger the critical value on the z-statistic,
To reject a null hypothesis, the z-statistic must be larger in magnitude than the critical value for a given level of significance.
If a distribution is right skewed, which of the following is/are true?
A normal distribution is symmetrical and hence, has zero skewness i.e. it is neither positively nor negatively skewed. If the distribution is right skewed, its skewness is positive but it does not necessarily have a positive mean.
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