A data set has 25 data points. Each data point is believed to have a standard deviation of 4. What is the standard deviation of the average of the data set. Give answer in decimal form.Short answer

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A researcher is interested in examining if the average temperature in a particular state in the US was increased due to significant changes to its landscape over the last several decades. The average yearly temperature was recorded from 50 randomly sampled locations from this state in 1948, and again in 2018. The 95% confidence interval for 𝜇 𝑑 was calculated to be (0.87,4.93). What is the sample standard error of the temperature differences? Assume all conditions for statistical inferences are satisfied.

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 The standard error is higher when n = 125 compared to when n=500 because a sample statistic based on less data (i.e., smaller n) tends to be less accurate and have larger standard errors.

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