Question

In: Statistics and Probability

On the basis of her newly developed technique a student believes she can reduce the amount...

On the basis of her newly developed technique a student believes she can reduce the amount of time schizophrenics spend in an institution. As director of training at a nearby institution, you agree to let her try her method on 20 schizophrenics, randomly sampled from your institution. The mean duration that schizophrenics stay at your institution is 85 weeks and the scores are normally distributed. The results of the experiment show that the patients treated by the student's new method stay a mean duration of 78 weeks with a standard deviation of 15 weeks.
MULTIPLE CHOICE!!!


The H1 states that                             [ Select ]                       ["the population mean is less then 78", "the population is greater than or equal to 78", "the population mean is greater than or equal to 85", "the population mean is less than 85", "directional hypothesis", "non-directional hypothesis", "z-test", "t-test", "one tailed", "two tailed", "-1.645", "-1.729", "3.354", "-2.09", "reject the null hypothesis", "fail to reject the null hypothesis", "her new method may work", "her new method probably does not work"]         

The H0 states that                             [ Select ]                       ["the population mean is less then 78", "the population is greater than or equal to 78", "the population mean is greater than or equal to 85", "the population mean is less than 85", "directional hypothesis", "non-directional hypothesis", "z-test", "t-test", "one tailed", "two tailed", "-1.645", "-1.729", "3.354", "-2.09", "reject the null hypothesis", "fail to reject the null hypothesis", "her new method may work", "her new method probably does not work"]      

This would be an example of a                             [ Select ]                       ["the population mean is less then 78", "the population is greater than or equal to 78", "the population mean is greater than or equal to 85", "the population mean is less than 85", "directional hypothesis", "non-directional hypothesis", "z-test", "t-test", "one tailed", "two tailed", "-1.645", "-1.729", "3.354", "-2.09", "reject the null hypothesis", "fail to reject the null hypothesis", "her new method may work", "her new method probably does not work"]         

The best statistical test to use is                            [ Select ]                       ["the population mean is less then 78", "the population is greater than or equal to 78", "the population mean is greater than or equal to 85", "the population mean is less than 85", "directional hypothesis", "non-directional hypothesis", "z-test", "t-test", "one tailed", "two tailed", "-1.645", "-1.729", "3.354", "-2.09", "reject the null hypothesis", "fail to reject the null hypothesis", "her new method may work", "her new method probably does not work"]         

It would best to use a                            [ Select ]                       ["the population mean is less then 78", "the population is greater than or equal to 78", "the population mean is greater than or equal to 85", "the population mean is less than 85", "directional hypothesis", "non-directional hypothesis", "z-test", "t-test", "one tailed", "two tailed", "-1.645", "-1.729", "3.354", "-2.09", "reject the null hypothesis", "fail to reject the null hypothesis", "her new method may work", "her new method probably does not work"]         probability

The critical value at an alpha of .05 would be                            [ Select ]                       ["the population mean is less then 78", "the population is greater than or equal to 78", "the population mean is greater than or equal to 85", "the population mean is less than 85", "directional hypothesis", "non-directional hypothesis", "z-test", "t-test", "one tailed", "two tailed", "-1.645", "-1.729", "3.354", "-2.09", "reject the null hypothesis", "fail to reject the null hypothesis", "her new method may work", "her new method probably does not work"]         

Value of the obtained statistic is                            [ Select ]                       ["the population mean is less then 78", "the population is greater than or equal to 78", "the population mean is greater than or equal to 85", "the population mean is less than 85", "directional hypothesis", "non-directional hypothesis", "z-test", "t-test", "one tailed", "two tailed", "-1.645", "-1.729", "3.354", "-2.09", "reject the null hypothesis", "fail to reject the null hypothesis", "her new method may work", "her new method probably does not work"]         

My decision based on the statistical results                            [ Select ]                       ["the population mean is less then 78", "the population is greater than or equal to 78", "the population mean is greater than or equal to 85", "the population mean is less than 85", "directional hypothesis", "non-directional hypothesis", "z-test", "t-test", "one tailed", "two tailed", "-1.645", "-1.729", "3.354", "-2.09", "reject the null hypothesis", "fail to reject the null hypothesis", "her new method may work", "her new method probably does not work"]         

Based on that decision, I conclude that                            [ Select ]                       ["the population mean is less then 78", "the population is greater than or equal to 78", "the population mean is greater than or equal to 85", "the population mean is less than 85", "directional hypothesis", "non-directional hypothesis", "z-test", "t-test", "one tailed", "two tailed", "-1.645", "-1.729", "3.354", "-2.09", "reject the null hypothesis", "fail to reject the null hypothesis", "her new method may work", "her new method probably does not work"]         

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