Question
In: Statistics and Probability
Question 1 The Highway Safety Department wants to study the driving habits of individuals. A sample...
Question 1
The Highway Safety Department wants to study the driving habits of
individuals. A sample of 41
cars traveling on the highway revealed an average speed of 60 miles
per hour and a standard
deviation of 7 miles per hour. The population of car speeds is
approximately normally distributed.
Determine a 90% confidence interval estimate for the speed of all
cars.
Solutions
orchestra answered 1 year agoRelated Solutions
The Highway Safety Department wants to study the driving habits of individuals. A sample of 34...
The Highway Safety Department wants to study the driving habits
of individuals. A sample of 34 cars traveling on a particular
stretch of highway revealed an average speed of 68.8 miles per hour
with a standard deviation of 9.8 miles per hour. Round to 4 decimal
places.
1.Calculate a 99% confidence interval for the true mean speed of
all cars on this particular stretch of highway.
( , )
2. What sample size is needed to estimate the true average...
The Highway Safety Department wants to study the driving habits of individuals. A sample of 33...
The Highway Safety Department wants to study the driving habits
of individuals. A sample of 33 cars traveling on a particular
stretch of highway revealed an average speed of 68.2 miles per hour
with a standard deviation of 9.2 miles per hour. Round to 4 decimal
places.
2. What sample size is needed to estimate the true average speed
to within 2.5 mph at 95% confidence? Note: For consistency's sake,
round your t* value to 3 decimal places before calculating...
A study on highway safety studied the driving habits of individuals. A sample of 78 cars...
A study on highway safety studied the driving habits of
individuals. A sample of 78 cars travelling on the highway revealed
an average speed of 94 kph with a standard deviation of 29.9 kph.
Determine the 95% confidence interval for the mean speed of all
cars (kph), if it is known that speed is normally distributed. Give
the upper limit only (in kph) correct to three decimal places.
A study on highway safety studied the driving habits of individuals. A sample of 78 cars...
A
study on highway safety studied the driving habits of individuals.
A sample of 78 cars travelling on the highway revealed an average
speed of 98.7 kph with a standard deviation of 22.7 kph. Determine
the 95% confidence interval for the mean speed of all cars (kph),
if it is known that speed is normally distributed. Give the upper
limit only (in kph) correct to three decimal places.
4. The Indiana Highway Department wants to construct a new rural highway. The engineering team is...
4.
The Indiana Highway Department wants to construct a new rural
highway. The engineering team is considering two designs:
a. Design A calls for a concrete pavement costing $90/ft. with
a 20-year life, two paved ditches each costing $3/ft., three box
culverts each costing $9,000/mile, annual maintenance costs of
$1,800/mile, culvert cleaning costs of $450/mile every five years.
Design A has a 20-year life.
b. Design B calls for a bituminous pavement costing $45/ft.
with a 10-year life, two sodded...
1. A questionnaire about study habits was given to a random sample of students taking a...
1. A questionnaire about study habits was given to a
random sample of students taking a
large introductory statistics class. Students were asked if they
studied most nights in a week: yes or
no. The results are that the sample proportion of students who
answered “yes” (?̂) was 0.4.
Consider the same scenario as in Problem 1.
a) Calculate a confidence interval for sample size n = 1000, ?̂=
0.4, and the following confidence
levels: 80%, 90%, and 99%. You...
The owner of a gas station wants to study gasoline purchasing habits of motorists at this...
The owner of a gas station wants to study gasoline purchasing
habits of motorists at this station. He selects a random sample of
60 motorists during a certain week, with the following results: The
amount of gas purchased was; mean = 11.3 gallons, standard
deviation = 3.1 gallons; Eleven motorists purchased premium-grade
gasoline (4 points)
At the 0.05 significance level, is there evidence that the
population mean purchase was different from 10 gallons? (1
point)
Determine the p-value in part...
The owner of a gas station wants to study gasoline purchasing habits of motorists at this...
The owner of a gas station wants to study gasoline purchasing
habits of motorists at this station. He selects a random sample of
60 motorists during a certain week, with the following results: The
amount of gas purchased was; mean = 11.3 gallons, standard
deviation = 3.1 gallons; Eleven motorists purchased premium-grade
gasoline (4 points)
At the 0.05 significance level, is there evidence that the
population mean purchase was different from 10 gallons? (1
point)
Determine the p-value in part...
A study conducted under the auspices of the National Highway Traffic Safety Administration found that the...
A study conducted under the auspices of the National Highway
Traffic Safety Administration found that the average number of
fatal crashes caused by the drowsy drivers each year was 1550
(Business Week, January 26, 2015). Assume the annual number of
fatal crashes per year is normally distributed with a standard
deviation of 300 and mean of 1550.
For a year to be in the top 2.5 % of the distribution with
respect to the number of fatal crashes, how many...
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally...
The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 51 records
of automobile driver fatalities in a certain county showed that 33
involved an intoxicated driver. Do these data indicate that the
population proportion of driver fatalities related to alcohol is
less than 77% in Kit Carson County? Use α = 0.10.
(a) What is the level of significance?
State the null and alternate...
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