A) Describe what the distribution used in hypothesis testing represents? Hint: t

Question

A) Describe what the distribution used in hypothesis testing represents? Hint: this is the distribution you’re using to determine whether you can reject the Null hypothesis

B) Briefly explain why a t-distribution has greater variability than a z-distribution (the unit normal table)

C) A researcher finds that the mean level of confidence in a sample of adolescents significantly increased after a team-building exercise the first day of school. The effect size was d=0.44. Describe the size of this effect and interpret what it represents.

Explanation / Answer

A) The distribution in hypothesis testing represents the probability density function of the sample statistic under the assumption that Null hypothesis is True i.e. the distribution describes the relative likelihood of different values that the sample statistic may assume under the assumption of null hypothesis being true.

B) t-distribution has greater variability than z-distribution because in the definition of a random variable which follows t-distribution, we use sample standard deviation, whereas for z-distribution, we use population standard deviation. Clearly, Sample standard deviation has much higher variability associated with it than population standard deviation(infact, variability=0 for population standard deviation because it is a fixed constant); therefore t-distribution shows much larger variability than z-distribution.

C) Effect size of d=0.44 indicates that the mean level of confidence in a sample of adolescents was 0.44 higher after going through a team-building exercise than before.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.