Robert thinks he and his brother Jack play a certain level on a video game at different speeds. He decides to test this hypothesis. They each play the level 15 times and compute their averages and sample standard deviations. Let μ 1 be Robert's average speed and μ 2 be Jack's average speed. P-value = 0.028 Will he use t or z as their test statistic? Is the test left-tailed, right-tailed, or two-tailed? What can he conclude at the 5% significance level?
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!
Robert thinks he and his brother Jack play a certain level on a video game at different speeds. He decides to test this hypothesis. They each play the level 15 times and compute their averages and sample standard deviations. Let μ 1 be Robert's average speed and μ 2 be Jack's average speed.
P-value = 0.028
Will he use t or z as their test statistic? Is the test left-tailed, right-tailed, or two-tailed?
What can he conclude at the 5% significance level?
Given information-
We have given two samples of video game speed of Robert and his brother Jack.
Let μ 1 be Robert's average speed and μ 2 be Jack's average speed.
Significance level, α = 0.05
P-value = 0.028
We have to test the claim Robert and his brother Jack play a certain level on a video game at different speeds.
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