A random sample of 50 plants was selected from a field containing one-year-old plants of a variety of guayule, a plant species yielding rubber. Of the 50, 25 were classified as Normal (N), 14 were classified as Off-type (O) and 11 as Aberrant (A). The data on the following page show the percentage rubber content from each plant. Normal Off-type Aberrant 6.40 6.34 4.25 8.90 6-93 6.38 6.68 7.10 6.42 7.26 7.29 6.30 7.01 6-84 7.12 6.83 7.31 7.25 6.86 6.68 6.81 7.32 6.48 5.70 4.84 5.01 6.20 5-82 4.46 5.24 5.58 7.70 5.90 6.36 7.10 5.88 5.24 5.51 7.00 6.42 6.20 6.04 5.58 4.72 7.42 7.27 6.43 6.10 6.01 7.90 (a) Test the null hypothesis that there is no difference in mean rubber content between the three types of plant. (b) If the means of the distributions of each type of plant are denoted by PN Po and PA respectively, test the following particular null hypotheses: (i) μ. = μαί (ii) μη = }(μμ + μα).
A random sample of 50 plants was selected from a field containing one-year-old plants of a variety of guayule, a plant species yielding rubber. Of the 50, 25 were classified as Normal (N), 14 were classified as Off-type (O) and 11 as Aberrant (A). The data on the following page show the percentage rubber content from each plant. Normal Off-type Aberrant 6.40 6.34 4.25 8.90 6-93 6.38 6.68 7.10 6.42 7.26 7.29 6.30 7.01 6-84 7.12 6.83 7.31 7.25 6.86 6.68 6.81 7.32 6.48 5.70 4.84 5.01 6.20 5-82 4.46 5.24 5.58 7.70 5.90 6.36 7.10 5.88 5.24 5.51 7.00 6.42 6.20 6.04 5.58 4.72 7.42 7.27 6.43 6.10 6.01 7.90 (a) Test the null hypothesis that there is no difference in mean rubber content between the three types of plant. (b) If the means of the distributions of each type of plant are denoted by PN Po and PA respectively, test the following particular null hypotheses: (i) μ. = μαί (ii) μη = }(μμ + μα).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:A random sample of 50 plants was selected from a field containing one-year-old plants of a
variety of guayule, a plant species yielding rubber. Of the 50, 25 were classified as Normal
(N), 14 were classified as Off-type (O) and 11 as Aberrant (A). The data on the following
page show the percentage rubber content from each plant.
Normal
Off-type
Aberrant
6.34 6.40
5.70 4.84
5.01 6.20
4.25 8.90
6.93 6.38 6.68 7.10
6.42 7.26 7.29 6.30
7.01 6-84 7.12 6.83
7.31 7.25 6.86 6.68
5.82 4.46
7.70
5.90
5.24 5.58
6.36
7.10
6.81 7.32 6.48
5.88 5.24
5.51
7.00 6.42 6.20
6.04 5.58
4.72
7.42 7-27 6.43
6-10 6-01
7.90
(a) Test the null hypothesis that there is no difference in mean rubber content between the
three types of plant.
(b) If the means of the distributions of each type of plant are denoted by N, PO and PA
respectively, test the following particular null hypotheses:
(i) EN = RA;
(ii) Po=(PN + PA).
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