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In the general population, the mean IQ is 100 with a standard deviation of 15. Dr. Robbins wants to see if a class of statistics students is significantly smarter than the population, so Dr. Robbins gives them an IQ test to get the average IQ of the students. To test the theory that Stats in Psych students are smarter than the general population, which hypothesis test is appropriate

Answer :

From the information given, a right-tailed test using the z-distribution is appropriate.

At the null hypothesis, it is tested if the class of statistics students is not significantly smarter than the general population, that is, their mean IQ is of at most 100, hence:

[tex]H_0: \mu \leq 100[/tex]

At the alternative hypothesis, it is tested if they are significantly smarter, that is, their mean IQ is greater than 100, hence:

[tex]H_1: \mu > 100[/tex]

  • We are testing if the mean is greater than a value, hence it is a right-tailed test.
  • We have the standard deviation for the population, hence, the z-distribution is used.

A similar problem is given at https://brainly.com/question/23413408

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