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Subjective Test Questions (Statistics)

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Running head: SUBJECTIVE TEST QUESTIONS 1
Subjective Test Questions
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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, = 0.90 hours
Sample size, n =?
Sample size = 󰇡

󰇢
But at 95% level of confidence, z = 1.96 from tables
Hence,
n = 󰇡


󰇢
= 311.1696
Therefore, the required sample size is 312.
Q3
We are given:
X=120
N=200
Sample proportion, p=
=


=0.6
Confidence interval of a population proportion = z
󰇛󰇜
95% confidence interval = 0.61.96*
󰇛󰇜


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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, 𝜎 = 0.90 hours Sample size, n =? 𝑧∗𝜎 2 Sample size = ( 𝑒 ) But at 95% level of confidence, z = 1.96 from tables Hence, 1.96∗0.90 2 n=( 0.10 ) = 311.1696 Therefore, the required sample size is 312. Q3 We are given: X=120 N=200 𝑋 120 Sample proportion, p=𝑁 = 200=0.6 𝑝(1−𝑝) Confidence interval of a population proportion = 𝑝 ±z√ 0.6(1−0.6) 95% confidence interval = 0.6±1.96*√ 200 𝑛 SUBJECTIVE TEST QUESTIONS 3 95% confidence interval =0.6±0.0679 95% confidence interval = (0.5321, 0.6679) Yes. The proportion of the Georgetown country residents who believe that country’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 : 𝜇0 = 𝜇1 = 𝜇2 (No significant difference in the mean selection sales) H1 : 𝜇0 ≠ 𝜇1 ≠ 𝜇2 (Atleast one of the means of the selection sales is different) Where; 𝜇0 = the mean for soft drink selection sales 𝜇1 = the mean for new registers sales 𝜇2 =the mean for dairy selection sales To test where a significant ...
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