A research firm claims that the distribution of the days of the week that people are most likely to order food for delivery is different from the distribution shown in the pie chart. You randomly select 493 people and record which day of the week each is most likely to order food for delivery. The table to the right shows the results. At a = 0.01, test the research firm's claim. Day Frequency, f Sunday Monday Tuesday Wednesday Thursday Friday Saturday 47 15 W Click the icon for the pie chart of the distribution. 27 49 41 164 150 State Ho and H, and identify the claim. O Graph/Chart Ho: The distribution of the days people order food for delivery H: The distribution of the days people order food for delivery Food at your door I Sunday 8% Which hypothesis is the claim? IMonday 3% O Ho O Tuesday 6% O Ha O Wednesday 14% I Thursday 11% Calculate the test statistic. IFriday 36% X = (Round to three decimal places as needed.) I Saturday 221% Determine the P-value. P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. Print Done
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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