Question

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.

1.) Perform the correct statistical test and determine the P value to test Dr. Hernandez's hypothesis. Report your answer for P rounded to four decimal places.

Fish Weight (g)
Pristine	Contaminated
45.3	79.3
56.8	96.8
79.6	84.6
61.4	79.6
39.6	97.6
89.3	80.5
74.9	76.9
95.5	89.7
71.6	86.6
92	89.4
76.3	72.5
46.5	92.3
77.6	68.9
88.7	56.9
70.6	99.5
55.4	87.3
90.3	84
77.6	88.5
54.6	79
39.9	71.2
90.5	78.8
84.6	68.8
68.8	61.6
82.9	98.5
85.2	58.4
90.5	91.1
86.34	97.6
79.9	71.4
86.7	89.6
56	81.7

2.) Based on the statistic results and P value determined in the previous question, which of the following statements are TRUE? (Check all that apply)

		The calculated statistic value would be greater than the critical value (when alpha = 0.05).
		The calculated statistic value would be less than the critical value (when alpha = 0.05).
		The P value is greater than alpha = 0.05.
		The P value is less than alpha = 0.05

3.) Which of the following are appropriate interpretations of statistical results observed in Dr. Hernandez's research? (Check all that apply)

		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.
		The fish that reached adulthood in the pristine lake were significantly larger than fish that reached adulthood in the contaminated lake.
		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.
		The presence of bovine growth hormone in the water increased the weight of fish that reach adulthood in contaminated waters.
		The null hypothesis is rejected.
		The null hypothesis is not rejected.

Answer 1

Answer:-

(1). Using MINITAB:-

Hypothesis:-

P-value =0.0114

(2). Critical Value :-

  

• The calculated statistic value would be less than the critical value (when alpha = 0.05)
• The P value is less than alpha = 0.05

(3).  The null hypothesis is rejected.