1)A real estate agent is interested in determining factors that affect the mean
ID: 2949574 • Letter: 1
Question
1)A real estate agent is interested in determining factors that affect the mean selling price of a home. One factor she is considering is known as "lot configuration," which determines the position of the house within the neighborhood that it is built. The possible lot configurations are (don't worry about their precise definitions):
Inside: Inside lot
Corner: Corner lot
CulDSac Cul-de-sac
FR2: Frontage on 2 sides of property
FR3: Frontage on 3 sides of property
Suppose that she were to perform an ANOVA to examine whether there were differences in the mean selling prices of homes with different lot configurations, and suppose that she found that she could reject the null hypothesis. What could she then conclude, in context? Hint: There's nothing to calculate here. I'm asking you to suppose that you could reject the null, and state the conclusion in the context of the problem.
a That all lot configurations differ on the mean selling price of homes.
b That at least two lot configurations differ on the mean square footage of their houses.
c That the true mean number of homes that are sold for each type of lot configuration are the same.
That the true proportion of homes sold for each of the different lot configurations are different from 20% for each lot.
That at least two lot configurations differ on the mean selling prices of their homes.
f That at least two lot configurations differ on the proportion of houses that they each contain.
2) Suppose we wished to compare 3 group means. We could perform an ANOVA, or we could perform several two-sample t tests. If we were to do the latter, how many different t tests would we have to perform? ___________
3) Suppose you are conducting a one-way ANOVA with 6 groups. There are a total of 680 observations in the data set. If SSE = 169,073 and SST = 1,553, what is the F statistic for the ANOVA hypothesis? Take all calculations to three (3) decimal places. __________
4)Umbrella Corporation is trying to determine whether a new drug improves mood in individuals with bipolar disorder. The company gave the drug to 207 individuals (Group 1) and a placebo (or sugar pill) to a separate sample of 297 individuals (Group 2). After one month on the drug, 172 of the patients in Group 1 reported improved mood, while 136 of the patients in Group 2 reported the same.
Calculate the upper bound of a 99% confidence interval for the true difference in the proportion of individuals who experienced improved mood, to two decimal places. Take all calculations to four (4) decimal places. ____________
a That all lot configurations differ on the mean selling price of homes.
b That at least two lot configurations differ on the mean square footage of their houses.
c That the true mean number of homes that are sold for each type of lot configuration are the same.
dThat the true proportion of homes sold for each of the different lot configurations are different from 20% for each lot.
eThat at least two lot configurations differ on the mean selling prices of their homes.
f That at least two lot configurations differ on the proportion of houses that they each contain.
2) Suppose we wished to compare 3 group means. We could perform an ANOVA, or we could perform several two-sample t tests. If we were to do the latter, how many different t tests would we have to perform? ___________
3) Suppose you are conducting a one-way ANOVA with 6 groups. There are a total of 680 observations in the data set. If SSE = 169,073 and SST = 1,553, what is the F statistic for the ANOVA hypothesis? Take all calculations to three (3) decimal places. __________
4)Umbrella Corporation is trying to determine whether a new drug improves mood in individuals with bipolar disorder. The company gave the drug to 207 individuals (Group 1) and a placebo (or sugar pill) to a separate sample of 297 individuals (Group 2). After one month on the drug, 172 of the patients in Group 1 reported improved mood, while 136 of the patients in Group 2 reported the same.
Calculate the upper bound of a 99% confidence interval for the true difference in the proportion of individuals who experienced improved mood, to two decimal places. Take all calculations to four (4) decimal places. ____________
Explanation / Answer
Soluton1:
H0:there wereno differences in the mean selling prices of homes with different lot configurations.
that all the group means are equal
H1:there were differences in the mean selling prices of homes with different lot configurations,a
atleast one of the two group means are different
Given Rejected Ho
Accept H1.
That at least two lot configurations differ on the mean selling prices of their homes.
Solution3:
ANSWER:F=1.238
ANOVA df SS MS F Treatments 5 1,553 310.6 1.238 Error 674 169,073 250.8501 Total 679 10Related Questions
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