For each scenario write the letter for what statistical method would be used: (m
ID: 3359221 • Letter: F
Question
For each scenario write the letter for what statistical method would be used: (match with correct letter)
A. One sample z-test for a mean
B. One sample t-test for a mean
C. Two-sample t-test for means dependent
D. Two sample t-test for means independent
E. One sample z-test for a proportion
F. Two sample z-test for p1-p2
G. None of the above
____ A political scientist wants to know if the proportion of Americans that can name at least one Supreme Court justice is different than what it was in 2010, when only 35% of Americans could name at least one Supreme Court justice (findlaw.com). The political scientist takes a random sample of 200 Americans, and finds that only 33% of Americans could name at least one Supreme Court justice.
____ A newly engaged couple is trying to decide how much is reasonable to spend on a honeymoon. A published study cited by several wedding magazines indicated that the average honeymoon cost is normally distributed with a mean of $5,111 and standard deviation of $1,621. The couple decides that they want to spend an amount no greater than what a couple in the 75th percentile spends.
____ A social psychologist wants to know if there is a difference in means in the amount of jewelry pieces owned by women in two difference cities. The social psychologist takes a random sample of 150 women from Los Angeles and finds the mean number of pieces of jewelry owned to be 26.6, with a standard deviation of 7.2 pieces. The social psychologist also takes a random sample of 300 women from New York and finds the mean number of pieces of jewelry owned to be 29.0, with a standard deviation of 7.7 pieces.
Explanation / Answer
a) A political scientist wants to know if the proportion of Americans that can name at least one Supreme Court justice is different than what it was in 2010, when only 35% of Americans could name at least one Supreme Court justice (findlaw.com). The political scientist takes a random sample of 200 Americans, and finds that only 33% of Americans could name at least one Supreme Court justice
Sol) we use Z test for single proportion
b)A newly engaged couple is trying to decide how much is reasonable to spend on a honeymoon. A published study cited by several wedding magazines indicated that the average honeymoon cost is normally distributed with a mean of $5,111 and standard deviation of $1,621. The couple decides that they want to spend an amount no greater than what a couple in the 75thpercentile spends.
Sol) Since population standard deviation is given. hence we use Test for Single mean(Z test)
c) A social psychologist wants to know if there is a difference in means in the amount of jewelry pieces owned by women in two difference cities. The social psychologist takes a random sample of 150 women from Los Angeles and finds the mean number of pieces of jewelry owned to be 26.6, with a standard deviation of 7.2 pieces. The social psychologist also takes a random sample of 300 women from New York and finds the mean number of pieces of jewelry owned to be 29.0, with a standard deviation of 7.7 pieces.
Sol) we use t test for differences of means (independent t test)
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