A Sample Is Selected from a Population with µ =

question 51

Essay

A sample is selected from a population with µ = 50.After a treatment is administered to the individuals in the sample,the mean is found to be M = 55 and the variance is s² = 64.
a.For a sample of n = 4 scores, conduct a hypothesis test to evaluate the
significance of the treatment effect and calculate Cohen's d to measure the size of the
treatment effect.Use a two-tailed test with α = .05.
b.For a sample of n = 16 scores, conduct a hypothesis test to evaluate the
significance of the treatment effect and calculate Cohen's d to measure the size of the
treatment effect.Use a two-tailed test with α = .05.
c.Describe how increasing the size of the sample affects the likelihood of rejecting the
null hypothesis and the measure of effect size.

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Definitions:

Grams of Fat

A measurement of fat content often found on nutritional labels, indicating the mass of fat present in a food item.

Confidence Interval

A range of numerical outcomes, derived from statistical analysis of samples, predicted to contain the value of a mystery population parameter.

Gas Price

The cost per unit volume of gasoline, determined by various factors including crude oil prices, taxes, and demand.

Unleaded Gasoline

A type of petrol or fuel for engines that does not contain lead compounds, used to reduce air pollution and protect the environment.