For numbers 3 to 7, refer to the gven situatuon: EWin bellevėš that with his current internet subscription, he can download a 750 mb movie in just 14 minutes. In order to test his own daim, he took a random sample of 10 downloadng time obtained a mean of 14.75 minutes with standard deviation of 1.75 minutes. 3. What are the mull and alternate hypotheses? A Ha:u = 14 Ho: # 14 B. Ha # 14; Ho: = 14 C Haii < 14 Ho: H # 14 D. Hai < 14 H,: = 14 4. What type of testis appropriate for the situation? A 2-test B. t-test Cx-test D. F-test 5. Whatvalue of the test statistic? A 1.645 B. -1.645 C 1355 D. -1.355
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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