Question
In: Statistics and Probability
A study of the ages of motorcyclists killed in crashes involves the random selection of 164...
A study of the ages of motorcyclists killed in crashes involves
the random selection of 164 drivers with a mean of 37.09 years.
Assuming that sigmaequals11.7 years, construct and interpret a
99% confidence interval estimate of the mean age of all
motorcyclists killed in crashes.
Click here to view a t distribution table.LOADING...
Click here to view page 1 of the standard normal distribution
table.LOADING...
Click here to view page 2 of the standard normal distribution
table.LOADING...
What is the 99% confidence interval for the population mean
u?
__<___ (Round to two decimal places as needed.)
Solutions
Expert Solution
Solution :
Given that,
Point estimate = sample mean = 
= 37.09
Population standard deviation = 
= 11.7
Sample size = n =164
At 99% confidence level the z is ,
= 1 - 99% = 1 - 0.99 =
0.01
/ 2 = 0.01 / 2 = 0.005
Z/2
= Z0.005 = 2.576 ( Using z table )
Margin of error = E = Z/2*
(
/
= 2.576 * ( 11.7/
E= 2.35
At 99% confidence interval estimate of the population mean is,
- E < 
<
+ E
37.09 -2.35 <
<37.09+ 2.35
34.74<
< 39.44
(34.74, 39.44 )
orchestra answered 1 year agoRelated Solutions
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The following data lists the ages of a random selection of actresses when they won an...
The following data lists the ages of a random selection of
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along with the ages of actors when they won in the category of Best
Actor. The ages are matched according to the year that the awards
were presented. Complete parts (a) and (b) below.
Actress left parenthesis years right parenthesis
29
25
34
27
38
26
26
45
27
36
Actor left parenthesis years right parenthesis
62...
The following data lists the ages of a random selection of actresses when they won an...
The following data lists the ages of a random selection of
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along with the ages of actors when they won in the category of Best
Actor. The ages are matched according to the year that the awards
were presented. Complete parts (a) and (b) below.
Actress left parenthesis years right parenthesisActress
(years)
30
31
29
27
33
25
24
37
29
37
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The following data lists the ages of a random selection of actresses when they won an...
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31 37
29 35
31 39
34 31
29 36
26 53
40 37
29 39
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Actor. The ages are matched according to the year that the awards
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29
25
33
27
34
28
24
41
31
33
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34
35
37
27
34
49
38
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