RSK4801 Assignment 4 (COMPLETE ANSWERS) 2024
- DUE 4 October 2024
Parameter - (ANSWER)Average household income for all houses in the US, using data from the
US Census.
(a) State whether the quantity described is a parameter or a statistic
μ - (ANSWER)Average household income for all houses in the US, using data from the US
Census.
(b) Give the correct notation.
Statistic - (ANSWER)Proportion of people who use an electric toothbrush, using data from a
sample of 400 adults.
(a) State whether the quantity described is a parameter or a statistic.
p̂ (p-hat) - (ANSWER)Proportion of people who use an electric toothbrush, using data from a
sample of 400 adults.
(b) Give the correct notation.
p - (ANSWER)Proportion of families in the US who were homeless in 2010. The number of
homeless families in 2010 was about 170,000 while the total number of families is given in the
2010 Census at 78 million.
(a) Give the correct notation for the quantity described.
, .00218 - (ANSWER)Proportion of families in the US who were homeless in 2010. The number
of homeless families in 2010 was about 170,000 while the total number of families is given in
the 2010 Census at 78 million.
(b) Give the value of the quantity described. Round your answer to five decimal places.
μ = 85, SE = 20 - (ANSWER)Figure 1 shows sample means from 500 samples of size n equals
30 from a population. Estimate the value of the population parameter and estimate the standard
error for the sample statistic. Round your answers to the nearest integer.
(See: https://imgur.com/djfsbzx)
x̄ = 70: reasonably likely to occur
x̄ = 100: reasonably likely to occur
x̄ = 140: unusual but might occur occasionally - (ANSWER)Using the sampling distribution
shown in Figure 1, indicate whether each sample proportion is (i) reasonably likely to occur from
a sample of n equals 30, (ii) unusual but might occur occasionally, or (iii) extremely unlikely to
ever occur.
(See: https://imgur.com/djfsbzx)
n = 20: Graph A
n = 100: Graph B
n = 500: Graph C - (ANSWER)The US Census indicates that 35 % of US residents are less than
25 years old. Figure 1 shows possible sampling distributions for the proportion of a sample less
than 25 years old, for samples of size n = 20, n = 100, and n = 500.
(See: https://imgur.com/WkerzRP)
(a) Which distribution goes with which sample size?
- DUE 4 October 2024
Parameter - (ANSWER)Average household income for all houses in the US, using data from the
US Census.
(a) State whether the quantity described is a parameter or a statistic
μ - (ANSWER)Average household income for all houses in the US, using data from the US
Census.
(b) Give the correct notation.
Statistic - (ANSWER)Proportion of people who use an electric toothbrush, using data from a
sample of 400 adults.
(a) State whether the quantity described is a parameter or a statistic.
p̂ (p-hat) - (ANSWER)Proportion of people who use an electric toothbrush, using data from a
sample of 400 adults.
(b) Give the correct notation.
p - (ANSWER)Proportion of families in the US who were homeless in 2010. The number of
homeless families in 2010 was about 170,000 while the total number of families is given in the
2010 Census at 78 million.
(a) Give the correct notation for the quantity described.
, .00218 - (ANSWER)Proportion of families in the US who were homeless in 2010. The number
of homeless families in 2010 was about 170,000 while the total number of families is given in
the 2010 Census at 78 million.
(b) Give the value of the quantity described. Round your answer to five decimal places.
μ = 85, SE = 20 - (ANSWER)Figure 1 shows sample means from 500 samples of size n equals
30 from a population. Estimate the value of the population parameter and estimate the standard
error for the sample statistic. Round your answers to the nearest integer.
(See: https://imgur.com/djfsbzx)
x̄ = 70: reasonably likely to occur
x̄ = 100: reasonably likely to occur
x̄ = 140: unusual but might occur occasionally - (ANSWER)Using the sampling distribution
shown in Figure 1, indicate whether each sample proportion is (i) reasonably likely to occur from
a sample of n equals 30, (ii) unusual but might occur occasionally, or (iii) extremely unlikely to
ever occur.
(See: https://imgur.com/djfsbzx)
n = 20: Graph A
n = 100: Graph B
n = 500: Graph C - (ANSWER)The US Census indicates that 35 % of US residents are less than
25 years old. Figure 1 shows possible sampling distributions for the proportion of a sample less
than 25 years old, for samples of size n = 20, n = 100, and n = 500.
(See: https://imgur.com/WkerzRP)
(a) Which distribution goes with which sample size?
