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Running head: SUBJECTIVE TEST QUESTIONS 1
Subjective Test Questions
Student Name
Institutional Affiliation
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SUBJECTIVE TEST QUESTIONS 2
Q1
No, it is not reasonable to calculate a confidence interval for the data.
Reason: the population standard deviation is not given.
Q2
We are given:
Margin of estimate, e = 0.10(100) hours
Level of confidence, C.I = 95%
Standard deviation, ξ·ͺ = 0.90 hours
Sample size, n =?
Sample size = σ°‘
ο­ξ―ο
ο
σ°’
οΆ
But at 95% level of confidence, z = 1.96 from tables
Hence,
n = σ°‘
ο΅ξ€ο½οΊξ―ο΄ξ€ο½ο΄
ο΄ξ€ο΅ο΄
σ°’
οΆ
= 311.1696
Therefore, the required sample size is 312.
Q3
We are given:
X=120
N=200
Sample proportion, p=
ο
ο
=
ο΅οΆο΄
οΆο΄ο΄
=0.6
Confidence interval of a population proportion = ξ΅οz
ο§
ο£σ°ο΅οΏο£σ°
ο‘
95% confidence interval = 0.6ο1.96*
ο§
ο΄ξ€οΊσ°ο΅οΏο΄ξ€οΊσ°
οΆο΄ο΄
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SUBJECTIVE TEST QUESTIONS 3
95% confidence interval =0.6ο0.0679
95% confidence interval = (0.5321, 0.6679)
Yes. The proportion of the Georgetown country residents who believe that countryβs real estate
taxes are too high is between 0.5321 and 0.6679 at 95% level of confidence.
Q4
First, state the null and alternative hypothesis
ξ
ο΄
: ξ·€
ο΄
ο ξ·€
ο΅
ο ξ·€
οΆ
(No significant difference in the mean selection sales)
ξ
ο΅
: ξ·€
ο΄
ο ξ·€
ο΅
ο ξ·€
οΆ
(Atleast one of the means of the selection sales is different)
Where;
ξ·€
ο΄
= the mean for soft drink selection sales
ξ·€
ο΅
= the mean for new registers sales
ξ·€
οΆ
=the mean for dairy selection sales
To test where a significant difference exists, a one-way ANOVA model is conducted using Ms-
Excel.
Anova: Single
Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Column 1
5
40
8
11.5
Column 2
5
35
7
6.5
Column 3
5
43
8.6
4.3
ANOVA
Source of
Variation
SS
df
MS
F
P-value
F crit
Between
Groups
6.5333333
2
3.2666667
0.439462
0.65435
3.885294
Within Groups
89.2
12
7.4333333
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SUBJECTIVE TEST QUESTIONS 4
Total
95.733333
14
Decision rule at 5% significance level: Reject the null hypothesis if F> F critical (Kreyszig,
2010).
F=0.439
F critical = 3.885
Since F observed is less than F critical, we fail to reject the null hypothesis since we do not have
enough evidence. Therefore we conclude that there is no significant difference in the mean
selection of Coca-Cola stacked at four locations of the store.
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SUBJECTIVE TEST QUESTIONS 5
Reference
Kreyszig, E. (2010). Advanced Engineering Mathematics, 10th Edition. John Wiley & Sons.

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Running head: SUBJECTIVE TEST QUESTIONS Subjective Test Questions Student Name Institutional Affiliation 1 SUBJECTIVE TEST QUESTIONS 2 Q1 No, it is not reasonable to calculate a confidence interval for the data. Reason: the population standard deviation is not given. Q2 We are given: Margin of estimate, e = 0.10(100) hours Level of confidence, C.I = 95% Standard deviation, π = 0.90 hours Sample size, n =? π§βπ 2 Sample size = ( π ) But at 95% level of confidence, z = 1.96 from tables Hence, 1.96β0.90 2 n=( 0.10 ) = 311.1696 Therefore, the required sample size is 312. Q3 We are given: X=120 N=200 π 120 Sample proportion, p=π = 200=0.6 π(1βπ) Confidence interval of a population proportion = π Β±zβ 0.6(1β0.6) 95% confidence interval = 0.6Β±1.96*β 200 π SUBJECTIVE TEST QUESTIONS 3 95% confidence interval =0.6Β±0.0679 95% confidence interval = (0.5321, 0.6679) Yes. The proportion of the Georgetown country residents who believe that countryβs real estate taxes are too high is between 0.5321 and 0.6679 at 95% level of confidence. Q4 First, state the null and alternative hypothesis H0 : π0 = π1 = π2 (No significant difference in the mean selection sales) H1 : π0 β  π1 β  π2 (Atleast one of the means of the selection sales is different) Where; π0 = the mean for soft drink selection sales π1 = the mean for new registers sales π2 =the mean for dairy selection sales To test where a significant difference exists, a one-way ANOVA model is conducted using MsExcel. Anova: Single Factor SUMMARY Groups Column 1 Column 2 Column 3 ANOVA Source of Variation Between Groups Within Groups Count 5 5 5 SS 6.5333333 89.2 Sum 40 35 43 df Average Variance 8 11.5 7 6.5 8.6 4.3 MS 2 12 F P-value F crit 3.2666667 0.439462 0.65435 3.885294 7.4333333 SUBJECTIVE TEST QUESTIONS Total 95.733333 4 14 Decision rule at 5% significance level: Reject the null hypothesis if F> F critical (Kreyszig, 2010). F=0.439 F critical = 3.885 Since F observed is less than F critical, we fail to reject the null hypothesis since we do not have enough evidence. Therefore we conclude that there is no significant difference in the mean selection of Coca-Cola stacked at four locations of the store. SUBJECTIVE TEST QUESTIONS 5 Reference Kreyszig, E. (2010). Advanced Engineering Mathematics, 10th Edition. John Wiley & Sons. Name: Description: ...
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