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In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided...

In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided t-test. All the procedures should be done with 5% P-value or 95% confidence interval.

Use the Weight_vs_IQ data. SETUP: Common sense dictates that a person’s IQ and Weight should not be related. However, one never knows until one examines the data. Given the data (IQ and weight for 29 students) your job is to check if the common sense assumption is reasonable or maybe it is not.

13. What test/procedure did you perform?

  • a. One-sided t-test
  • b. Two-sided t-test
  • c. Regression
  • d. Confidence interval

14. What is the P-value/margin of error?

  • a. 0.749971
  • b. 8.2E-06
  • c. 0.711936
  • d. 0.355968

15. Statistical interpretation

  • a. Since the P-value is very small, we can confirm the common sense assumption that IQ and Weight are not related.
  • b. Since the P-value is large, we cannot claim that averages are different.
  • c. Since the P-value is large, we cannot claim that IQ and Weight are related.
  • d. None of these.

16. Conclusion

  • a. I have no statistical evidence to claim that IQ and Weight are related.
  • b. I am confident that IQ and Weight are related.
  • c. I am confident that IQ and Weight are not related.

DATA:

Weight  IQ
88      99
112     103
107     97
112     99
80      100
86      90
103     118
121     79
116     80
82      88
65      82
107     103
100     116
91      112
110     92
113     115
105     100
108     94
90      118
73      106
102     126
99      95
80      119
114     116
90      79
95      92
106     78
86      111
106     80

Solutions

Expert Solution

Solution:

We can use the excel regression data analysis tool to find the p-value. The excel output is given below:

13. What test/procedure did you perform?

  • c. Regression Because we have to determine if there is a significant relationship between two variables

14. What is the P-value/margin of error?

  • a. 0.749971

15. Statistical interpretation

  • c. Since the P-value is large, we cannot claim that IQ and Weight are related.

16. Conclusion

  • a. I have no statistical evidence to claim that IQ and Weight are related.

milcah answered 3 months ago
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