Thanks to an initiative to recruit top students, an
administrator at a college claims that this year's entering class
must have a greater mean IQ score than that of entering classes
from previous years. The administrator tests a random sample
of 22 of this year's entering students and finds that
their mean IQ score is 115, with a standard deviation
of 13. The college records indicate that the mean IQ score for
entering students from previous years is 114.Is there enough
evidence to conclude, at the 0.10 level of significance,
that the population mean IQ score, μ, of this year's
class is greater than that of previous years? To answer, assume
that the IQ scores of this year's entering class are approximately
normally distributed.
a.) State the null hypothesis and the alternative hypothesis
H0:
H1:
b.) type of statistic used and what is the degree of freedom if
applied?
Z or T or F or Chi-Square
c.)Find the value of the test statistic. (Round to three or more
decimal places.
d.)Find the p-value. (Round to three or more
decimal places.)
e.) Can we conclude that the mean IQ score of this year's
class is greater than that of previous years?
Yes or No
Among college students, the proportion p who say
they’re interested in their congressional district’s election
results has traditionally been 65%. After a series of
debates on campuses, a political scientist claims that the
proportion of college students who say they’re interested in their
district’s election results is more than 65%. A poll is
commissioned, and 180 out of a random sample
of 265 college students say they’re interested in their
district’s election results. Is there enough evidence to support
the political scientist's claim at the 0.10 level of
significance?
a.) State the null hypothesis and the alternative hypothesis
H0:
H1:
b.) type of statistic used and what is the degree of freedom if
applied?
Z or T or F or Chi-Square
c.)Find the value of the test statistic. (Round to three or more
decimal places.
d.)Find the p-value. (Round to three or more
decimal places.)
e.) Is there enough evidence to support the political
scientist's claim that the proportion of college students who say
they’re interested in their district’s election results is more
than
65%?
Yes or No