STA1610Assessment 4

Assessment 4
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Started on Tuesday, 29 August 2023, 10:27 PM
State Finished
Completed on Tuesday, 29 August 2023, 10:39 PM
Time taken 12 mins 25 secs
Marks 18.00/20.00
Grade 90.00 out of 100.00
Question 1
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A random sample of size 100 results in a sample mean of 100. The population standard deviation
is known to be 25. What is the value of the standard error of the mean?


a.
1.50


b.
2.50


c.
3.50


d.
4.11


e.
6.45

Question 2
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A household survey based on a of sample of 50 households in a small rural village found the
average household income to be R2500 with a standard deviation R800. Construct the 90%
confidence interval estimate for the population mean household income and choose the correct
answer from a list of options below.


a.

, (2310.27; 2689.73)


b.
(2272.59; 2727.41)


c.
(2196.79; 2803.21)


d.
(2313.89; 2686.11)


e.
(2319.40; 2680.60)

Question 3
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Consider a t distribution with 9 degrees of freedom. Which one of the following statements is
incorrect?


a.
The t value associated with a lower tail probability of 0.1 is +1.383.


b.
The t value associated with an upper tail probability of 0.05 is +1.833.


c.
95% of the area under this t distribution falls between -2.262 and +2.262.


d.
98% of the area under this t distribution falls between -2.821 and +2.821.


e.
99% of the area under this t distribution falls between -3.250 and +3.250.

Question 4
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Mark 2.00 out of 2.00

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