A scooter company wants to determine the average amount of time it takes an adult to assemble an “easy to assemble” scooter. A sample of 49 times yielded an average time of 18.15 minutes. Assume that the assembly times are normally distributed and the population has a standard deviation of 5.39 minutes.
a) Give a point estimate for the population mean that the sample of data is taken from.
b) Find the 96% confidence interval for the mean assembly time.
In: Statistics and Probability
In: Statistics and Probability
Test if a person’s political affiliation and their opinion on a
tax reform bill
are dependent at a 10% level of significance.
Favor Indifferent Opposed
Democrat 79 129 98
Republican 73 69 65
In: Statistics and Probability
The data in the table represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. Complete parts (a) to (c) below.
Age Number_of_Male_Licensed_Drivers_(000s),
Number_of_Fatal_Crashes, Number_of_Female_Licensed_Drivers0000s),
Number_of_Fatal_Crashes
<_16 12 227 12
77
16-20 6424 5180
6139 2113
21-24 6936 5016
6816 1550
25-34 18068 8565
17664 2780
35-44 20406 7990
20061 2742
45-54 19898 7126
19984 2285
55-64 14363 4527
14441 1514
65-74 8194 2274
8398 938
>_74 4803 2022
5375 957
(a) Find the least-squares regression line for males treating the number of licensed drivers as the explanatory variable, x, and the number of fatal crashes, y, as the response variable. Repeat this procedure for females.
(b) Interpret the slope of the least-squares regression line for each gender, if appropriate. How might an insurance company use this information?
(c) Was the number of fatal accidents for 16 to 20 year old males above or belowaverage? Was the number of fatal accidents for 21 to 24 year old males above or belowaverage? Was the number of fatal accidents for males greater than 74 years old above or below average? How might an insurance company use this information? Does the same relationship hold for females?
In: Statistics and Probability
Consider a normal population with μ = 40 and σ = 4.2. Calculate the z-score for an x of 49 from a sample of size 15. (Give your answer correct to two decimal places
In: Statistics and Probability
The mass of an object is normally distributed with a mean of μ = 3480 grams and a standard deviation of σ = 550 grams. Find the 28th percentile in this population.
a. 3161 grams
b. 2834 grams
c. 3050 grams
d. 2824 grams
Part B.) If five objects from the population are randomly selected, what is the probability the mean mass among them is less than 3229 grams?
a.) 0.1539
b.) 0.4020
c.) 0.546
d.) 0.0250
In: Statistics and Probability
THIS QUESTION WAS ANSWERED BEFORE BUT A-D. PLEASE ANSWER SECTION E.
There is no mass transit in Cedar Grove, so Letecia’s goats are
fascinated with buses and trains now that they live in SoCal. In
fact, they spend anywhere between 30 and 150 minutes each day on
some form of mass transit or other, and no length of time is any
more likely than any other.
a. Draw a graph of the distribution of the amount of time that any
of Letecia’s goats spends on mass transit in a day.
b. What is the probability that one of Letecia’s goats spends more
than two hours on mass transit in a day?
c. What is the probability that one of Letecia’s goats spends
exactly one hour on mass transit in a day?
d. What is the amount of time one of Letecia’s goats is expected to
spend on mass transit in a day? What is the standard
deviation?
e. Supposing that the amount of time a goat spends on mass transit
each day is independent. What would be the probability that a goat
would spend more than 23 complete days on mass transit over the
course of a year?
In: Statistics and Probability
Gender |
Mean |
S.D. |
Min |
Q1 |
Median |
Q3 |
Max |
Female |
23.76 |
47.47 |
0 |
2 |
5 |
21 |
256 |
Male |
14.23 |
21.16 |
0 |
1 |
5 |
15 |
84 |
Male sample size: 30
Female sample size: 62
Use the following data
a) Which measure, the mean or the median, do you think better represents a typical number of deaths from a hurricane? Why?
b) Based upon the mean and median, do you think that the Female named hurricanes are more deadly? Why? Or why not?
c) Find a 95% confidence interval for the number of death by both female and male named hurricanes.
d) Find a 99% confidence interval for the number of death by both female and male named hurricanes.
e) Compare the CIs of 95% and 99% levels.
PLEASE DO OUT ALL WORK NO COMPUTER PROGRAMS
In: Statistics and Probability
A normally distributed population has a mean of 65 and a standard deviation of 24. Sample averages from samples of size 19 are collected. What would be the lower end of the centered interval that contains 90% of all possible sample averages?
I know how to do a most of this, but I am confused on how I find the Z variable. Thanks!
In: Statistics and Probability
if you're constructing a 95% confidence interval for the MEAN of some population, and you collect a sample of size 100 that has a sample mean of x-bar=30 with a population standard deviation of _=20, then how much would the margin of error of the confidence interval be? use 3 decimal places of accuracy
In: Statistics and Probability
A sample of freshmen takes a reading comprehension test and
their scores are summarized below. If the mean for the general
population on this test is m = 12, can you conclude that this
sample is significantly different from the population. Test with a
= .05.
Sample Scores: 16, 8, 8, 6, 9, 11, 13, 9, 10
A. Find M=
B.Find SS=
C.Find standard error =
D.Find t =
E. Choose one:
Reject H0 =1
Fail to Reject H0 =2
In: Statistics and Probability
What is the purpose of the Bonferroni correction (and other similar ‘corrections’)? How is it applied and what problem does it fix? What is the cost of using these corrections?
In: Statistics and Probability
An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon.
Car Weight (pounds), x Miles per Gallon,
y
A 2695 26.7
B 2975 23.6
C 3260 24.9
D 3760 23.1
E 4225 20.4
a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
Write the equation for the least-squares regression line.
Modifying Above y with carety =__x+__
(b) Interpret the slope and intercept, if appropriate.
(c) Predict the miles per gallon of car B and compute the residual. Is the miles per gallon of this car above average or below average for cars of this weight?
D) Draw the least-squares regression line on the scatter diagram of the data and label the residual.
In: Statistics and Probability
In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 465 eggs in group I boxes, of which a field count showed about 274 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 782 eggs in group II boxes, of which a field count showed about 260 hatched.
(a) Find a point estimate p̂1 for
p1, the proportion of eggs that hatch in group
I nest box placements. (Round your answer to three decimal
places.)
p̂1 =
Find a 99% confidence interval for p1. (Round
your answers to three decimal places.)
lower limit | |
upper limit |
(b) Find a point estimate p̂2 for
p2, the proportion of eggs that hatch in group
II nest box placements. (Round your answer to three decimal
places.)
p̂2 =
Find a 99% confidence interval for p2. (Round
your answers to three decimal places.)
lower limit | |
upper limit |
(c) Find a 99% confidence interval for p1 −
p2. (Round your answers to three decimal
places.)
lower limit | |
upper limit |
In: Statistics and Probability
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 293 people over the age of 55, 69 dream in black and white, and among 305 people under the age of 25,18 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (b)
a. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test?
Identify the test statistic.
Identify the P-value.
b. Test the claim by constructing an appropriate confidence interval.
In: Statistics and Probability