The accompanying data represent the total travel tax​ (in dollars) for a​ 3-day business trip in88randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts​ (a) through​ (c) below.68.7468.7479.3879.3870.9470.9484.7184.7179.7479.7485.7485.74100.91100.9198.0298.02 LOADING...Click the icon to view the table of critical​ t-values.​(a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is​$11.5111.51.​(Round to two decimal places as​ needed.)​(b) Construct and interpret a9595​%confidence interval for the mean tax paid for a​ three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice.​(Round to two decimal places as​ needed.) A.One can benothing​%confident that the all cities have a travel tax between​$nothingand​$nothing. B.One can benothing​%confident that the mean travel tax for all cities is between​$nothingand  ​$nothing. C.There is anothing​%probability that the mean travel tax for all cities is between​$nothingand​$nothing. D.The travel tax is between​$nothingand​$nothingfornothing​%of all cities.​(c) What would you recommend to a researcher who wants to increase the precision of the​ interval, but does not have access to additional​ data?  A.The researcher could decrease the sample standard deviation. B.The researcher could increase the sample mean. C.The researcher could increase the level of confidence. D.The researcher could decrease the level of confidence. Click to select your answer(s).

Question
Asked Nov 30, 2019
55 views
The accompanying data represent the total travel tax​ (in dollars) for a​ 3-day business trip in
88
randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts​ (a) through​ (c) below.
68.7468.74
79.3879.38
70.9470.94
84.7184.71
79.7479.74
85.7485.74
100.91100.91
98.0298.02
 
LOADING...
Click the icon to view the table of critical​ t-values.
​(a) Determine a point estimate for the population mean travel tax.
 
A point estimate for the population mean travel tax is
​$11.5111.51.
​(Round to two decimal places as​ needed.)
​(b) Construct and interpret a
9595​%
confidence interval for the mean tax paid for a​ three-day business trip.
 
Select the correct choice below and fill in the answer boxes to complete your choice.
​(Round to two decimal places as​ needed.)
 
A.
One can be
nothing​%
confident that the all cities have a travel tax between
​$nothing
and
​$nothing.
 
B.
One can be
nothing​%
confident that the mean travel tax for all cities is between
​$nothing
and  
​$nothing.
 
C.
There is a
nothing​%
probability that the mean travel tax for all cities is between
​$nothing
and
​$nothing.
 
D.
The travel tax is between
​$nothing
and
​$nothing
for
nothing​%
of all cities.
​(c) What would you recommend to a researcher who wants to increase the precision of the​ interval, but does not have access to additional​ data?
 
 
A.
The researcher could decrease the sample standard deviation.
 
B.
The researcher could increase the sample mean.
 
C.
The researcher could increase the level of confidence.
 
D.
The researcher could decrease the level of confidence.
 
Click to select your answer(s).
check_circle

Expert Answer

Step 1

a.

The point estimate of the population mean is the sample mean.

The sample mean (point estimate of the population mean travel tax) is calculated as follows:

fullscreen
Step 2

b.

The sample standard deviation is calculated as follows:

help_outline

Image Transcriptionclose

6 |Σ-3) i-1 п-1 =11.51 using Excel function-STDEV (A1:A8)

fullscreen
Step 3

Sample mean = 83.52.

Sample standard deviation, s is 11.51.

The sample size, n is 8.

From the EXCEL, using the formula, =T.INV.2T (...

help_outline

Image Transcriptionclose

CI tt n- 11.51 83.52 2.365 v8 83.52 +9.624 -(73.896,93.144)

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: According to the National Highway and Traffic  Safety Administration,  the proportion of fatal traff...

A: (a)The sample proportion of traffic fatalities in the state of Hawaii involving a positive BAC is ob...

question_answer

Q: In a 2 x 2 contingency table, if we keep the marginals at their observed values, how many fo scores ...

A: Introduction:Consider 2 categories, A and B, which are present at 2 levels each, A1, A2, B1, and B2....

question_answer

Q: You wish to test the following claim (H2) at a significance level of a - 0.02. Ho Pi P2 H Pi P2 You ...

A: The provided information are:

question_answer

Q: A clinical psychologist is interested in comparing the effectiveness of short term relaxation and co...

A: Null Hypothesis:There is no significant difference among the means of three treatment groups.Alterna...

question_answer

Q: Suppose babies born in a large hospital have a mean weight of 3316 grams, and a standard deviation o...

A: The probability that the mean weight of the sample babies would differ from the population mean by l...

question_answer

Q: You are mixing x grams of ingredient A and y grams of ingredient B. What is the equation or inequali...

A: From the given information, x grams of ingredient A and y grams of ingredient B are mixed.The total ...

question_answer

Q: A lightbulb is advertised as lasting 1000 hours with a standard deviation of 150 hours. Assume the l...

A: The lasting duration of lightbulb is normally distributed with mean 1000 hours and standard deviatio...

question_answer

Q: Due Sun 12/01/2019 11:59 You wish to test the following claim (H) at a significance level of a = 0.0...

A: Given Data and calculation is shown below

question_answer

Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade a...

A: Step-by-step procedure to obtain the value of coefficient of determination using Excel Mega stat is ...