A data set has 100 data points. Each data point is believed to have a standard deviation of 8. What is the standard deviation of the average of the data set. Express your answer in decimal form.简答题

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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.

The sample means obtained are point estimates for the mean height of all active individuals, if the sample of individuals is equivalent to a simple random sample. What measure do we use to quantify the variability of such an estimate? Compute this quantity using the data from the original sample under the condition that the data are a simple random sample.

 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.

What is the standard error for this hypothesis test?

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