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StatisticsEssentials of Statistics for the Behavioral SciencesA sample of n = 16 individuals is selected from a population with a mean of μ = 80. A treatment is administered to the sample and. after treatment, the sample mean is found to be M = 86 with a standard deviation of s = 8. a. Does the sample provide sufficient evidence to conclude that the treatment has a significant effect? Test with α = .05. b. Compute Cohen's d and r 2 to measure the effect size. с. Find the 95% confidence interval for the population mean after treatment.BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

Publisher: Cengage Learning

ISBN: 9781133956570

Chapter 9.3, Problem 1LCA

Textbook Problem

A sample of *n* = 16 individuals is selected from a population with a mean of
*M* = 86 with a standard deviation of *s =* 8.

a. Does the sample provide sufficient evidence to conclude that the treatment has a significant effect? Test with

b. Compute Cohen's *d* and r^{2} to measure the effect size.

с. Find the 95% confidence interval for the population mean after treatment.

Expert Solution

**a.**

To determine

**To test:** Whether there is sufficient evidence to infer that the treatment has significant effect.

**Given info:**

A sample of 16 individual is selected from a population with mean 80. The sample mean, and standard deviation (s) are 86 and 8 respectively. One-tailed hypothesis test using

**Calculations:**

*Test hypothesis is given below:*

*Null Hypothesis:*

*Alternative Hypothesis:*

*Degrees of freedom:*

*Critical value:*

For a one-tailed test with

*Test statistic:*

The *t*-statistics is,

Calculate

Expert Solution

**b.**

To determine

**To find:** The Cohen’s d and

Expert Solution

**c.**

To determine

**To construct:** The 95% confidence interval for the population mean.

Essentials of Statistics for the Behavioral Sciences

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