You Are Given the Following Information Obtained from a Random

question 135

Essay

You are given the following information obtained from a random sample of 4 observations.
25 47 32 56
You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 48. (Assume the population is normally distributed.)
a.State the null and the alternative hypotheses.
b.Determine the test statistic.
c.Determine the p-value; and at 95% confidence test to determine whether or not the mean of the population is significantly different from 48.

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Definitions:

Illusory Correlation

The tendency to overestimate the link between variables that are related only slightly or not at all.

Hot Hand Player

The belief or phenomenon where a person is perceived to be more likely to succeed in a task (e.g., scoring in sports) because of previous consecutive successes, despite statistical evidence often suggesting randomness.

Coin Flip

A method of making a binary decision or selecting randomly between two options using the outcome of a tossed coin.

Base Rate Fallacy

A cognitive error where individuals ignore general statistical information (base rates) in favor of specific anecdotal information.