In: Statistics and Probability

Construct a 95% confidence interval to estimate the population mean using the data below. What assumptions need to be made about this population?

x̄ = 33 s= 9.9 n=27

The 95% confidence interval for the population mean is from a lower limit of _______ to an upper limit of _______ .

= 33

s =9.9

n =27

Degrees of freedom = df = n - 1 =27 - 1 = 26

At 95% confidence level the t is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2= 0.05 / 2 = 0.025

t
/2,df = t0.025,26 = **2.056** ( using student t
table)

Margin of error = E = t/2,df * (s /n)

= **2.056*** ( 9.9/
27)

= 3.92

The 95% confidence interval estimate of the population mean is,

- E < < + E

33 - 3.92 < < 33+ 3.92

29.08 < < 36.92

(lower limit= 29.08 ,upper limit= 36.92)

Construct a 95?% confidence interval to estimate the population
mean using the following data. What assumptions need to be made to
construct this? interval?
x?=93
?=15
n=17
With 95?% ?confidence, when n=17 the population mean is between
the lower limit of __ and the upper limit of __

Construct a 95% confidence interval to estimate the population
mean using the following data. What assumptions need to be made to
construct this interval?
x(over bar x)= 83 s=19 n=16
What assumptions need to be made to construct this
interval?
A. The population is skewed to one side.
B. The sample size is less than 30.
C. The population mean will be in the confidence interval.
D. The population must be normally distributed.
With 95% confidence, when n=16 the population...

Construct a 99% confidence interval to estimate the population
mean using the data below. What assumptions need to be made about
this population?
x overbar =32
s=9.1
n=28

Construct a 95% confidence interval to estimate the population
mean using the data below.
x̅= 46 σ=12 n= 41
With 95% confidence, when n=41 the population mean is between a
lower limit of ___ and upper limit of ___

Construct a 90% confidence interval to estimate the population
mean using the accompanying data. What assumptions need to be made
to construct this interval?
x=59 σ=15 n=17
What assumptions need to be made to construct this
interval?
A. The population is skewed to one side.
B. The sample size is less than 30.
C. The population must be normally distributed.
D. The population mean will be in the confidence interval.
With 90% confidence, when n=17, the population mean is
between...

Construct a? 95% confidence interval to estimate the population
proportion using the data below.
x = 29
n = 90
N = 500
The? 95% confidence interval for the population proportion is?
(_,_).

Construct a 95% confidence interval to estimate the population
proportion using the data below.
x equals 27
n equals 75
N equals 500
The 95% confidence interval for the population proportion is
(____,____)

Construct a 95% confidence interval to estimate the population
proportion using the data below.
x equals 23, n equals 80, N equals 500
The 95% confidence interval for the population proportion is
left parenthesis nothing comma nothing right parenthesis . (Round
to three decimal places as needed.)

Construct a 95% Confidence Interval to estimate the population
mean/proportion in the
claim below. What can you conclude from this result regarding the
claim?
Claim: Is the proportion of people using public transportation
is greater than private vehicles?
Data:
Ways to travel to work (100 people surveyed)
Method
Number
Public Transportation
46
Private Vehicle
44
Uber, Lyft
10
Total
100

Construct a 99% confidence interval to estimate the population
mean using the data below.
X (overbar) = 22
s = 3.2
n = 13
What assumptions need to be made about this population?
The 99% confidence interval for the population mean is from a
lower limit of __ to an upper limit of __. (round to two decimal
places as needed.)

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