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2. The summer monsoon rains bring 80% of a country\'s rainfall and are essential

ID: 3053466 • Letter: 2

Question

2.  The summer monsoon rains bring 80% of a country's rainfall and are essential for the country's agriculture. Records going back more than a century show that the amount of monsoon rainfall varies from year to year according to a distribution that is approximately Normal with mean 858 millimeters (mm) and standard deviation 88 mm. Use the 68-95-99.7 rule to answer the following questions.

(a) Between what values do the monsoon rains fall in 95% of all years?
From _______mm to __________mm

A study of academic dishonesty among col ege students used a two-stage sampling design. The first stage chose a sample of 30 colleges and universities. Then the study authors mailed questionnaires to a straified sample of 200 seniors, 100 juniors, and 100 sophomores at cach school, One of the schools chosen has 1127 freshmen, 989 sophomores, 943 juniors, and 895 seniors, Assign labels for stratified sampling, (Give the first and last label for cach class using the complete number of digits of the label.) sophomores (first label) sophomores (last label) uniors (first label) uniors (last label) seniors (first label) senlors (last label) Use Table B, starting at line 140, to select the first 5 students in the sample from each stratum. After selecting five students for a stratum, continue to select the students for the next stratum. Report the labels of the selected student from each class in the order of Table B, using the complete number of digits of the label. ?Enter your answers as comma-separated lists.)

Explanation / Answer

2)

the 68–95–99.7 rule is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations, respectively

Thus, for 95% +- 2 std deviations from mean

Thus, from 858- 2*88 mm to 858+ 2*88 mm

i.e. 682 mm to 1034 mm

3)

Z= (x-u)/ ?

Thus, Z = (34-24.8)/6.9

Z = 1.33

P(X>34) = P(Z>1.33)

= 1- 0.9082

= 0.0918

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