Question
In a study on nutrition, the researchers carefully followed 60 athletes over a 40 days, and recorded the following average caloric intake for each person:
In a study on nutrition, the researchers carefully followed 60 athletes over a 40 days, and recorded the following average caloric intake for each person:
2094, 2737, 3087, 1601, 2803, 2836, 2368, 2380, 2373, 2232, 2410, 2185, 2281, 2645, 3032, 2569, 2396, 2222, 2255, 3663, 2675, 2405, 2426, 2816, 2317, 1990, 2866, 2174, 2610, 2212, 3094, 2411, 2310, 2400, 1912, 2111, 1673, 2036, 2490, 2415, 3245, 2154, 2247, 2495, 2186, 2198, 2138, 2075, 2390, 2402, 1835, 2365, 2137, 2178, 2547, 2861, 3331, 2282, 3312, 2116
To clarify, for the first individual, they averaged 2094 over the 60 days, the second person averaged 2737, etc.
The nutritionist researchers believe this is too high for this group of athletes and that the desired average should be no higher than 2200. Using a confidence interval at 80%, run a hypothesis test to determine whether or not the recorded athletes' numbers exceed the researchers' recommended maximum of 2200.
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