The following information relates to the next five questions. Suppose that you had collected the following sample data (in inches) on the diameters of tree trunks, measured at waist level and growing at 2000’ elevation in the Cascade Mountains: 9.0, 6.2, 6.5, 7.0, 10.5 and 8.8

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The following information relates to the next five questions. Suppose that you had collected the following sample data (in inches) on the diameters of tree trunks, measured at waist level and growing at 2000’ elevation in the Cascade Mountains: 9.0, 6.2, 6.5, 7.0, 10.5 and 8.8.

1. The sample median for this data is:
(a) 7.5
(b) 8.8
(c) 8.0
(d) 7.9
(e) It cannot be Determined.

2. The sample mean for this data is:

(a) 4.8

(b) 8.0
(c) 7.9
(d) 6.5
(e) None of the Above.

3. The sample standard deviation for this data is:

(a) 18.565
(b) 2.580
(c) 2.401
(d) 1.695
(e) 4.127

4. The sample Inter Quartile Range is:

(a) 5.5
(b) 4.5
(c) 3.5
(d) 2.5
(e) 4.0
(f) None of the above

5. Based on your answers to questions 2 and 3, if you assume that the data is normally distributed, then the reasonable range of values that you would expect to see in a 95% confidence interval for the population mean based on a typical sample of this size selected from this population of trees would be:

(a) 5.85” to 8.95”
(b) 6..22” to 9.78”
(c) 6.58” to 9.42”
(d) 7.17” to 9.25”
(e) 6.75” to 10.18”
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