of this blend of coffee were purchased on six consecutive days from each of the six cups (measures in milligrams) is provided in the tabl 550 354 401 610 350 358

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Scientists investigated the level of caffeine of 16-ounce cups of a certain blend of coffee. In one phase of the experiment, cups
of this blend of coffee were purchased on six consecutive days from a single specialty coffee shop. The amount of caffeine in
each of the six cups (measures in milligrams) is provided in the table below. Complete parts a through d below.
550
354
401
610
350
358
Transcribed Image Text:Scientists investigated the level of caffeine of 16-ounce cups of a certain blend of coffee. In one phase of the experiment, cups of this blend of coffee were purchased on six consecutive days from a single specialty coffee shop. The amount of caffeine in each of the six cups (measures in milligrams) is provided in the table below. Complete parts a through d below. 550 354 401 610 350 358
a. Suppose the scientists are interested in determining whether the median amount of caffeine in this coffee blend exceeds
325 milligrams. Set up the null and alternative hypotheses of interest.
Ho: n =
325
Ha:n >
325
b. How many of the cups in the sample have a caffeine content that exceeds 325 milligrams?
5 cup(s)
(Type a whole number.)
c. Assuming that p = 0.5, find the probability that at least as many of the 6 cups as were counted in part b have caffeine
amounts that exceed 325 milligrams.
The probability is 0.031
(Round to three decimal places as needed.)
Transcribed Image Text:a. Suppose the scientists are interested in determining whether the median amount of caffeine in this coffee blend exceeds 325 milligrams. Set up the null and alternative hypotheses of interest. Ho: n = 325 Ha:n > 325 b. How many of the cups in the sample have a caffeine content that exceeds 325 milligrams? 5 cup(s) (Type a whole number.) c. Assuming that p = 0.5, find the probability that at least as many of the 6 cups as were counted in part b have caffeine amounts that exceed 325 milligrams. The probability is 0.031 (Round to three decimal places as needed.)
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