Question

A researcher knows that the weights of 6-year-olds are normally distributed with μ = 20.9 kg and σ = 4.0 kg. She suspects that children in poverty-stricken regions are undernourished and therefore underweight. With a sample of n = 16 children, the researcher obtains a sample mean of M = 18.3 kg. Are the weights for this sample significantly lower than what would be expected for the population of 6-year-olds? 1. Perform a null hypothesis test using a one-tailed, single sample z-test and α = .01. Be sure to complete and label all 4 steps in the hypothesis testing process. 2. Calculate the effect size using Cohen’s d if a significant effect exists.

          A researcher knows that the weights of 6-year-olds are normally distributed with μ = 20.9 kg and σ = 4.0 kg. She suspects that children in poverty-stricken regions are undernourished and therefore underweight. With a sample of n = 16 children, the researcher obtains a sample mean of M = 18.3 kg. Are the weights for this sample significantly lower than what would be expected for the population of 6-year-olds?

1. Perform a null hypothesis test using a one-tailed, single sample z-test and α = .01. Be sure to complete and label all 4 steps in the hypothesis testing process.

2. Calculate the effect size using Cohen’s d if a significant effect exists.

Added by Brian W.

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