4. A real estate agent compares the selling price of townhouse in two provinces to see if there is a difference in price. The results of the study are shown. Test the claim that the average price of a townhouse in Laguna is higher than that in Cavite. Use a = 0.01 and assume that the population variances are equal. LAGUNA CAVITE X = P 2,140,000 S = P 226,000 n, = 23 X2 = P 1,970,000 = P 243,000 n2 = 18

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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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3. The mathematical anxiety rating scale (MARS) measures an individual's level of anxiety towards mathematics
on a scale of 25 (no anxiety) to 100 (highest anxiety). A research on MARS was administered to a sample of 50
students. The following data was gathered:
GENDER
AVERAGE MARS
STANDARD
NUMBER OF
DEVIATION
SAMPLES
Male
34.8
6.6
24
Female
47.2
2.4
26
At a significance level of 0.05, is there evidence of a difference between the mathematical anxiety experienced
by males and females? Assume that the population MARS variances for each gender are not the same,
4. A real estate agent compares the selling price of townhouse in two provinces to see if there is a difference in
price. The results of the study are shown. Test the claim that the average price of a townhouse in Laguna is
higher than that in Cavite. Use a = 0.01 and assume that the population variances are equal.
LAGUNA
CAVITE
X = P 2,140,000
S = P 226,000
Is
X2 = P 1,970,000
P 243,000
%3D
%3D
%3D
n3D23
n2 =18
%3D
Transcribed Image Text:3. The mathematical anxiety rating scale (MARS) measures an individual's level of anxiety towards mathematics on a scale of 25 (no anxiety) to 100 (highest anxiety). A research on MARS was administered to a sample of 50 students. The following data was gathered: GENDER AVERAGE MARS STANDARD NUMBER OF DEVIATION SAMPLES Male 34.8 6.6 24 Female 47.2 2.4 26 At a significance level of 0.05, is there evidence of a difference between the mathematical anxiety experienced by males and females? Assume that the population MARS variances for each gender are not the same, 4. A real estate agent compares the selling price of townhouse in two provinces to see if there is a difference in price. The results of the study are shown. Test the claim that the average price of a townhouse in Laguna is higher than that in Cavite. Use a = 0.01 and assume that the population variances are equal. LAGUNA CAVITE X = P 2,140,000 S = P 226,000 Is X2 = P 1,970,000 P 243,000 %3D %3D %3D n3D23 n2 =18 %3D
A. Write down the null and alternative hypotheses. Express them symbolically.
Example: Ho: u<0.5 H1: u > 0.5
B. Identify the type of tes.
Example:
t-test, two populations, right-tailed
C. Identify the rejection region. You should indicate the critical value and degrees of freedom, df, (if applicable)
Examples:
z> 1.96 (critical value = 0.025)
t> 2.571 (critical value = 0.025, df =
5)
%3D
D. Solve for the test statistic
E. Give the appropriate conclusion, Your conclusion must be based on the claim mentioned in the problem. Just saying that
the null hypothesis is rejected or accepted is not enough.,
Example:
There is sufficient evidence to show that the mean P3 score of 4BSCE-01 students is greater than 94.
Express your answers in 3 decimal places. Box your answers.
Transcribed Image Text:A. Write down the null and alternative hypotheses. Express them symbolically. Example: Ho: u<0.5 H1: u > 0.5 B. Identify the type of tes. Example: t-test, two populations, right-tailed C. Identify the rejection region. You should indicate the critical value and degrees of freedom, df, (if applicable) Examples: z> 1.96 (critical value = 0.025) t> 2.571 (critical value = 0.025, df = 5) %3D D. Solve for the test statistic E. Give the appropriate conclusion, Your conclusion must be based on the claim mentioned in the problem. Just saying that the null hypothesis is rejected or accepted is not enough., Example: There is sufficient evidence to show that the mean P3 score of 4BSCE-01 students is greater than 94. Express your answers in 3 decimal places. Box your answers.
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