Chapter 839012lW5.Toyota Motor Corporation developed the Scion car model to appeal to young consumers. Toyota claims theaverage age of a Scion driver is 26 years old. Suppose a random sample of 18 Scion drivers was drawn, and theaverage age of the drivers was found to be 27.5 years. Assume the standard deviation for the age of Sciongsndrivers is 2.3 years.eivom s to goli0 5251V5 9r .2yvD 18 7 0 noiaadATsnoisiert of gnibiopAConstruct a 95% confidence interval to estimate the average age of a Scion driver. er2 26w S1O.bstpole yimobns.!a.b.Does this result lend support to Toyota's claim?c.What assumption needs to be made for this procedure?97 lo wo e bushbnct ertthus58.6catre nortl zaldsdong erlt 2i torlW.dThe US air traffic control system handled an average of 47,529 flights during 30 randomly selected days, The6.standard deviation for this sample is 6,210 flights per day.dpin ort ai dodWba. Construct a 99% confidence interval to estimate the average number of flights per day handled hy thequsniniss viibossystem.ne 36oy tegAM0.5sbreh. Suppose the current system can safely handle 50,000fights per day. What conclusion can be drawn withcotusiveb0Jinsthese results?2c.What assumptions need to be made about this population?2 80The US Department of Education reported that in 2007, 67% of students enrolled in college or a trade schoolwithin 12 months of graduating from high school. In 2013, a random sample of 160 individuals who graduatedfrom high school 12 months prior was selected. From this sample, 102 students were found to be enrolled in7.college or a trade school.a. Construct a 90% confidence interval to estimate the actual proportion of students enrolled in college or aschool within 12 months of graduating from high school in 2013.error for this sample?9idthat this proportion has changed since 2007?

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Asked Jun 5, 2019
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Number 5 Please, Explain shortcut with TI84 if applicable 

Chapter 8
39012lW
5.
Toyota Motor Corporation developed the Scion car model to appeal to young consumers. Toyota claims the
average age of a Scion driver is 26 years old. Suppose a random sample of 18 Scion drivers was drawn, and the
average age of the drivers was found to be 27.5 years. Assume the standard deviation for the age of Sciongsn
drivers is 2.3 years.
eivom s to goli0 5251V5 9r .2y
vD 18 7 0 noia
adATsnoisiert of gnibiopA
Construct a 95% confidence interval to estimate the average age of a Scion driver. er2 26w S1O
.bstpole yimobns
.!
a.
b.
Does this result lend support to Toyota's claim?
c.
What assumption needs to be made for this procedure?
97 lo wo e bushbnct ertthus
58
.6
catre nortl zal
dsdong erlt 2i torlW.d
The US air traffic control system handled an average of 47,529 flights during 30 randomly selected days, The
6.
standard deviation for this sample is 6,210 flights per day.
dpin ort ai dodW
b
a. Construct a 99% confidence interval to estimate the average number of flights per day handled hy the
qusniniss viibos
system.
ne 36oy teg
AM
0.5
sbreh. Suppose the current system can safely handle 50,000fights per day. What conclusion can be drawn with
cotusiveb
0Jins
these results?
2
c.
What assumptions need to be made about this population?
2 80
The US Department of Education reported that in 2007, 67% of students enrolled in college or a trade school
within 12 months of graduating from high school. In 2013, a random sample of 160 individuals who graduated
from high school 12 months prior was selected. From this sample, 102 students were found to be enrolled in
7.
college or a trade school.
a. Construct a 90% confidence interval to estimate the actual proportion of students enrolled in college or a
school within 12 months of graduating from high school in 2013.
error for this sample?
9id
that this proportion has changed since 2007?
help_outline

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Chapter 8 39012lW 5. Toyota Motor Corporation developed the Scion car model to appeal to young consumers. Toyota claims the average age of a Scion driver is 26 years old. Suppose a random sample of 18 Scion drivers was drawn, and the average age of the drivers was found to be 27.5 years. Assume the standard deviation for the age of Sciongsn drivers is 2.3 years. eivom s to goli0 5251V5 9r .2y vD 18 7 0 noia adATsnoisiert of gnibiopA Construct a 95% confidence interval to estimate the average age of a Scion driver. er2 26w S1O .bstpole yimobns .! a. b. Does this result lend support to Toyota's claim? c. What assumption needs to be made for this procedure? 97 lo wo e bushbnct ertthus 58 .6 catre nortl zal dsdong erlt 2i torlW.d The US air traffic control system handled an average of 47,529 flights during 30 randomly selected days, The 6. standard deviation for this sample is 6,210 flights per day. dpin ort ai dodW b a. Construct a 99% confidence interval to estimate the average number of flights per day handled hy the qusniniss viibos system. ne 36oy teg AM 0.5 sbreh. Suppose the current system can safely handle 50,000fights per day. What conclusion can be drawn with cotusiveb 0Jins these results? 2 c. What assumptions need to be made about this population? 2 80 The US Department of Education reported that in 2007, 67% of students enrolled in college or a trade school within 12 months of graduating from high school. In 2013, a random sample of 160 individuals who graduated from high school 12 months prior was selected. From this sample, 102 students were found to be enrolled in 7. college or a trade school. a. Construct a 90% confidence interval to estimate the actual proportion of students enrolled in college or a school within 12 months of graduating from high school in 2013. error for this sample? 9id that this proportion has changed since 2007?

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Expert Answer

Step 1

Given claim that average age of scion driver = 26

Null hypothesis H0 : µ = 26
Alternative hypothesis  Ha : µ ≠ 26

Given
Sample size = 18
Sample mean = 27.5
Standard deviation = 2.3
Since the population standard deviation is given we use the Z distribution to find the confidence interval.

For 95% confidence interval alpha = level of significance = 0.05

First in Ti-84
First select STAT and the select TESTS ad selectthe Z-interval (option 7)
Under INput select STATS  as we know all statistics to calculate the cofidence interval.
Enter
population standard deviation σ = 2.3
sample mean xbar = 27.5
sample size n = 12
C.level = 0.95 (since we need 95% confidence interval) and then highlight calculate and press enter.

The 95% confidence interval for average age of scion driver is (26.44, 28.56)

Step 2

Toyota claim is that average age of scion driver is 26 years. But the 95% confidence interval is from (26.44 , 28.56) whi...

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