Answer:
(22.0297, 23.3703)
Step-by-step explanation:
Given that an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California.
Let X be per capita income (in thousands of dollars) for a major city in California.
Mean = 22.7
n = 183
Population std dev = 6.3
Since population std dev is known we can use Z critical value.
Std error =
Z critical =1.44
Marginof error = ±1.44*0.4657=0.6706
Confidence interval 85%
=
Answer:
(i) Five number summary: Minimum value = 1, ,
,
, Maximum value = 26.
(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.
(iii) 26 is an outlier of the data.
Step-by-step explanation:
The given data set is
19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21
Arrange the data set in ascending order.
16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26
Divide the data set in 4 equal parts.
(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)
Minimum value = 16
Maximum value = 26
The inter quartile range (IQR) of the data is
Upper fence :
Lower fence :
If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.
26 ∉ [14.25, 24.25]
Therefore, 26 is an outlier of the data.