(D (3 pts) Eot each of the situations below, choose whether the p-value would be
ID: 3367225 • Letter: #
Question
(D (3 pts) Eot each of the situations below, choose whether the p-value would become larger, smaller, or stay the same if (no explanations required and you should not perform any calculations): NO CHANGE SMALLER SMALLER LARGER NO CHANGE SMALLER LARGER NO CHANGE LARGER . The sample standard deviations were half as large 90 .The cell phone group average was 5 ms longer 90 . The sample sizes were doubled (g) (2 pts) The above output displays a test statistic of t-3.72. Write a sentence interpreting this test statistic in context-what does it measure? 6. (10 points) When should you use the median as a summary statistic instead of the mean?Explanation / Answer
f) For the first case, p-value would be Larger
For the second case, p-value would be Smaller
For the third case, p-value would be Smaller,
g) It gives the value of the test statistic under the null hypothesis.
So, satisfying the conditions under the null hypothesis, it gives the value based on the sample observations which helps us to decide whether to reject or accept the null hypothesis based on the critical value of the t-distribution with df(based on the number of observations and number of unknown parameters to be estimated) and the desired level of significance.
6. We use median instead of mean as a summary statistics when the data are qualitative and has ordered values like[good, medium, bad]. We also use median when we have open end classes in a frequency table. If there are too large/small outliers present in the data they shift the mean to their direction. In that case, median is perfect as a measure of central tendency.
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