An ecologist records the hourly number of birds x, (i = 1,2,3,...,40) flying over a wetland. The data summaries are 40 Σx, 1200 and x² = 285 000. i=1 ii Based on past records, the number of the population mean of birds flying over the wetland in an hour is 34. Estimate the probability that the sample mean number of birds for 40 hours (1) is greater than 40, (2) is between 25 and the sample mean.

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An ecologist records the hourly number of birds x; (i = 1,2,3,...,40) flying over a
wetland. The data summaries are
40
40
Σx, = 1200 and Σx² = 285 000.
i=1
i=1
ii Based on past records, the number of the population mean of birds flying over the
wetland in an hour is 34. Estimate the probability that the sample mean number of
birds for 40 hours
(1) is greater than 40,
(2) is between 25 and the sample mean.
Transcribed Image Text:An ecologist records the hourly number of birds x; (i = 1,2,3,...,40) flying over a wetland. The data summaries are 40 40 Σx, = 1200 and Σx² = 285 000. i=1 i=1 ii Based on past records, the number of the population mean of birds flying over the wetland in an hour is 34. Estimate the probability that the sample mean number of birds for 40 hours (1) is greater than 40, (2) is between 25 and the sample mean.
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The sample size is 40, why not use the " one mean z-test?

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