In: Statistics and Probability
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"]