MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Here is a link to the data set collected by Dr. Hernandez. Her research team has a data set of the weight of fishes caught from both the contaminated lake
and the pristine lake. Assume both of these data sets have equal variance.
Perform the correct statistical test and determine the P value to test Dr. Hernandez's hypothesis. Report your P value rounded to three decimal places.
Use formulas, functions, and the data analysis tool pack in Excel to avoid accruing rounding errors. Useful functions include
=t.test(array1,array2,tails,type)
to produce a P value for any type of a t test from a data set
Type can be set to 1 for paired, 2 for unpaired with equal variance, or 3 for unpaired with unequal variance
=chidist(x,degrees of freedom)
to produce a P value from a calculated chi squared statistic
ANOVA Single Factor from the data analysis tool pack
to perform a 1-way ANOVA on a data set with only one factor
Regression from the data analysis tool pack
to perform a linear regression and the corresponding t-test on the slope of the line
Based on the statistic results and P value determined in the previous question, which of the following statements are TRUE? (Check all that apply)
O The calculated statistic value would be greater than the critical value (when alpha = 0.05).
O The P value is less than alpha = 0.05
O The P value is greater than alpha = 0.05.
O The calculated statistic value would be less than the critical value (when alpha = 0.05).
Which of the following are appropriate interpretations of statistical results observed in Dr. Hernandez's research? (Check all that apply)
O The fish that reached adulthood in the pristine lake were significantly larger than fish that reached adulthood in the contaminated lake.
O There was not a significant difference in size between fish that reached adulthood in the pristine lake and fish that reached adulthood in the
contaminated lake.
O The presence of bovine growth hormone in the water increased the weight of fish that reach adulthood in contaminated waters.
O The null hypothesis is rejected.
O The null hypothesis is not rejected.
O Fish that reached adulthood in the lake contaminated with bovine growth hormone were significantly greater in size than fish that reached adulthood in the
pristine lake.
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Transcribed Image Text:Here is a link to the data set collected by Dr. Hernandez. Her research team has a data set of the weight of fishes caught from both the contaminated lake and the pristine lake. Assume both of these data sets have equal variance. Perform the correct statistical test and determine the P value to test Dr. Hernandez's hypothesis. Report your P value rounded to three decimal places. Use formulas, functions, and the data analysis tool pack in Excel to avoid accruing rounding errors. Useful functions include =t.test(array1,array2,tails,type) to produce a P value for any type of a t test from a data set Type can be set to 1 for paired, 2 for unpaired with equal variance, or 3 for unpaired with unequal variance =chidist(x,degrees of freedom) to produce a P value from a calculated chi squared statistic ANOVA Single Factor from the data analysis tool pack to perform a 1-way ANOVA on a data set with only one factor Regression from the data analysis tool pack to perform a linear regression and the corresponding t-test on the slope of the line Based on the statistic results and P value determined in the previous question, which of the following statements are TRUE? (Check all that apply) O The calculated statistic value would be greater than the critical value (when alpha = 0.05). O The P value is less than alpha = 0.05 O The P value is greater than alpha = 0.05. O The calculated statistic value would be less than the critical value (when alpha = 0.05). Which of the following are appropriate interpretations of statistical results observed in Dr. Hernandez's research? (Check all that apply) O The fish that reached adulthood in the pristine lake were significantly larger than fish that reached adulthood in the contaminated lake. O There was not a significant difference in size between fish that reached adulthood in the pristine lake and fish that reached adulthood in the contaminated lake. O The presence of bovine growth hormone in the water increased the weight of fish that reach adulthood in contaminated waters. O The null hypothesis is rejected. O The null hypothesis is not rejected. O Fish that reached adulthood in the lake contaminated with bovine growth hormone were significantly greater in size than fish that reached adulthood in the pristine lake.
Fish Weight (g)
Pristine Lake
Contaminated Lake
57.4
89.4
40.1
96.3
79.4
80.1
54.3
76.3
61.8
99.2
89.9
84.5
75.5
85.6
95.6
91.2
60.3
85.3
67.8
87.2
70.5
71.2
30.2
58
71.5
70
89.1
66.3
70.5
97.2
55.4
86
92.2
84.2
74.3
86.3
55.9
75
37.9
73.4
92.1
98.9
87.2
59.9
66.6
92.5
82.4
90.5
88.9
97.7
94.1
99.8
86.3
96.3
82.2
77.2
79.4
62
85.2
70.3
expand button
Transcribed Image Text:Fish Weight (g) Pristine Lake Contaminated Lake 57.4 89.4 40.1 96.3 79.4 80.1 54.3 76.3 61.8 99.2 89.9 84.5 75.5 85.6 95.6 91.2 60.3 85.3 67.8 87.2 70.5 71.2 30.2 58 71.5 70 89.1 66.3 70.5 97.2 55.4 86 92.2 84.2 74.3 86.3 55.9 75 37.9 73.4 92.1 98.9 87.2 59.9 66.6 92.5 82.4 90.5 88.9 97.7 94.1 99.8 86.3 96.3 82.2 77.2 79.4 62 85.2 70.3
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