Test the given claim. Assume that a simple random sample is selected from a normally distributed population. Use either the P-value method or the traditional method of testing hypotheses.
Company A uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft, which was the standard deviation for the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action?
−45,78,−24,−71,−42,13,19,53,−8,−54,−106,−106
Find the test statistic
χ2=
Determine the critical value(s).
The critical value(s) is/are
Since the test statistic is
(greater than, less than, between, equal to)
the critical value(s), (reject, fail to reject) H0.
There is(sufficient, insufficient) evidence to support the claim that the new production method has errors with a standard deviation greater than 32.2 ft.
The variation appears to be (greater, about the same, less, greater) than in the past, so the new method appears to be (worse, better, similar) because there will be (more, fewer, the same number) of altimeters that have errors. Therefore, the company(should, should not) take immediate action to reduce the variation.
In: Statistics and Probability
draw six cards at random from a deck of 52 playing cards 60 times with replacement. Let X be the number of queen cards.
Find the probability distribution of X and Var (x)
In: Statistics and Probability
1. Let's say there are 10,000 lawyers in the USA and 500 of them are Oreo cookie lovers. These 500 lawyers consume a total of 500 Oreo cookies in a given time period out of 2,000 cookies sold. What is the BDI for Oreo cookies consumed by lawyers.
1000
500
100
50
2. In this sampling method we believe there are significant differences between groups comprising the population. Here we assign the population into groups and then try to replicate those percentages present in the population in our sample. As a result we randomly select people out of each group to try and get a representative sample from each of the groups of interest. Which sampling method is this?
Stratified
Purposive
Cluster
Systematic
3. Sometimes you may want to study a group of people that have very specific interests or behaviors. Once you find one individual you ask them if they have any friends you can talk to, you then ask the friend if they have any friends, and so on and so forth. This is called what?
Snowball sampling
Probability sampling
Convenience sampling
Branch sampling
In: Statistics and Probability
Is the average amount of time spent sleeping each day different between male and female students?
Which hypothesis test is the most appropriate to use in this problem? Why? (Note: if you are doing a 2-sample t-test, make sure you state which one you are doing and why.) If the test you chose has a t-statistic, report it here with degrees of freedom. If it does not, state that the test you chose does not have a test-statistic. Give and interpret an appropriate 95% confidence interval for the difference in population mean time spent sleeping each day between male and female students.
sex | sleep |
Female | 540 |
Male | 420 |
Female | 450 |
Female | 420 |
Female | 480 |
Female | 420 |
Male | 400 |
Male | 420 |
Female | 480 |
Female | 480 |
Male | 360 |
Female | 500 |
Female | 270 |
Female | 480 |
Male | 540 |
Female | 420 |
Male | 360 |
Male | 420 |
Male | 480 |
Male | 480 |
Male | 420 |
Male | 560 |
Male | 280 |
Male | 570 |
Male | 480 |
Male | 480 |
Male | 420 |
Male | 420 |
Male | 480 |
Male | 360 |
Male | 480 |
Male | 480 |
Female | 360 |
Male | 480 |
Male | 480 |
Female | 480 |
Male | |
Female | 480 |
Male | 465 |
Male | 500 |
Male | 420 |
Male | 420 |
Female | 600 |
Female | 480 |
Female | 420 |
Female | 480 |
Female | 480 |
Male | 480 |
Female | 480 |
Female | 480 |
Female | 300 |
Female | 540 |
Female | 420 |
Male | 480 |
Female | 480 |
Female | 360 |
Female | 480 |
Male | 480 |
Male | 450 |
Male | 420 |
Male | 480 |
Male | |
Female | 540 |
Female | 420 |
Male | 450 |
Male | 360 |
Female | 480 |
Male | 360 |
Male | 540 |
Female | 480 |
Male | 420 |
Male | 480 |
Male | 240 |
Female | 480 |
Male | 420 |
Female | 420 |
Female | 450 |
Female | 380 |
Male | 540 |
Female | 480 |
Female | |
Male | |
Male | 480 |
Male | 420 |
Female | 420 |
Male | 360 |
Female | 540 |
Male | 420 |
Male | 480 |
Male | 420 |
Female | 450 |
Male | 480 |
Female | |
Female | 480 |
Male | 560 |
Male | 480 |
Male | 540 |
Male | 420 |
Male | 480 |
Male | 480 |
Female | 450 |
Female | 480 |
Female | 450 |
Female | 420 |
Female | 480 |
Male | 420 |
Female | 540 |
Female | 480 |
Male | |
Male | 360 |
Female | 720 |
Female | 480 |
Male | 300 |
Male | 360 |
Male | 420 |
Female | 420 |
Male | 540 |
Male | 480 |
Female | 480 |
Male | 420 |
Male | 420 |
Male | 480 |
Female | 360 |
Female | 460 |
Female | 480 |
Male | 420 |
Female | 420 |
Male | 480 |
Male | 360 |
Male | 480 |
Female | 420 |
Female | 420 |
Female | 490 |
Female | 450 |
Male | 460 |
Male | 540 |
Male | 450 |
Male | 400 |
Female | 360 |
Male | 420 |
Male | 500 |
Female | 420 |
Male | 390 |
Male | 450 |
Male | 500 |
Female | 480 |
Male | 540 |
Male | 480 |
Male | 540 |
Female | 480 |
Male | 480 |
Male | |
Female | 500 |
Female | 600 |
Male | 540 |
Male | 480 |
Female | 600 |
Female | 420 |
Female | 480 |
Male | 420 |
Male | 480 |
Female | 300 |
Male | 420 |
Male | 400 |
Female | 330 |
Male | 390 |
Male | |
Male | 480 |
Female | 480 |
Male | 450 |
Male | 420 |
Male | 420 |
Male | 480 |
Female | 480 |
Female | 450 |
Female | 480 |
Female | 420 |
Male | 420 |
Male | 480 |
Female | 390 |
Female | 360 |
Male | 450 |
Male | 480 |
Female | 480 |
Female | 480 |
Male | 380 |
Male | 360 |
Female | 480 |
Male | 420 |
Female | 420 |
Male | 360 |
Male | 440 |
Male | |
Male | 390 |
Female | 420 |
Female | 720 |
Female | 480 |
Female | 480 |
Female | 480 |
Female | 420 |
Female | 360 |
Male | 480 |
Male | 420 |
Male | 400 |
Male | 480 |
Female | 420 |
Male | 480 |
Female | 420 |
Female | 480 |
Male | 300 |
Male | 480 |
Female | 300 |
Female | 450 |
Female | 480 |
Male | 450 |
In: Statistics and Probability
A simple random sample of 81 is selected from a population with a standard deviation of 17. The degree of confidence is 90%. What is the margin of error for the mean?
In: Statistics and Probability
The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 686 employed persons and 669 unemployed persons are independently and randomly selected, and that 438 of the employed persons and 361 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who have registered to vote? Use a significance level of α=0.01 for the test.
State the null and alternative hypotheses for the test.
Find the values of the two sample proportions, pˆ1and pˆ2. Round your answers to three decimal places.
Compute the weighted estimate of p, ‾p. Round your answer to three decimal places.
Compute the value of the test statistic. Round your answer to two decimal places.
Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.
Make the decision for the hypothesis test.
In: Statistics and Probability
In SAS, how do I extract the city, state, and zipcode into separate columns from a single variable with all three?
Example-
Bremen, KS, 66412
Little River, KS, 67457
Bird City, KS, 67731
The above is stored in one variable each. But I want to make three separate variables with it. Some cities also have two words in it.
In: Statistics and Probability
A researcher would like to determine if meditation training will affect anxiety-related distress among a group of participants. For a week prior to training, each participant records the number of times they feel anxious. Participants then receive meditation training and for the week following training the number of times they feel anxious is again measured. The data are as follows:
Before After
8 5
7 2
5 4
5 2
8 3
4 2
6 4
6 3
a. Compute the mean and sum of the squared deviations for the sample of difference scores.
b. Do the results indicate a significant difference? Use a two-tailed test with α = .05.
c. Compute Cohen’s d to measure the size of the effect.
In: Statistics and Probability
Find one data set. 50 datums minimum
You may use NBA, NHL, MLB, stock market, coinmarketcap (crypto currency) or any other type of data.
What type of data is it? Ordinal? Interval? Ratio?
Create a frequency distribution with 7 classes.
Create a Histogram based on data.
Find: Data Frequency, Percent, Cumulative frequency, Cumulative Percent
Create a step by step frequency distribution in Excel for data ( set boundaries, midpoint, frequency, percentage, cumulative frequency and cumulative percentage).
In: Statistics and Probability
Using the data found in Table 4 and Bayes’ Formula, determine the probability that a randomly selected patient will have Strep Throat given the SARTD test result was positive. Use the CDC stated prevalence of 25%. Round answer to nearest hundredth of a percent (i.e. 45.67%).
Then using the same Table 4, and Bayes’ Formula, determine the probability that a randomly selected patient will not have Strep Throat given the SARTD test result was negative. Use the CDC stated prevalence of 25%. Round answer to nearest hundredth of a percent.
Strep Pos | Strep Neg | Total | |
SARTD Pos | 80 | 23 | 103 |
SARTD Neg | 38 | 349 | 387 |
Total | 118 | 372 | 490 |
Table 4: SARTD vs conventional culture |
In: Statistics and Probability
In: Statistics and Probability
1. A multiple linear regression model should not be used
if:
A The variables are all statistically significant.
B The coefficient of determination R2 is large.
C Both of the above.
D Neither of the above.
2. Consider a multiple linear regression model where the output
variable is a company's revenue for
different months, and the purpose is to investigate how the revenue
depends upon the company's advertising budget. The input variables
can be time-lagged so that the first input variable is the
advertising budget in that month, the second input variable is the
advertising budget in the previous month, etc.
A True.
B False.
In: Statistics and Probability
Please, i need Unique answer, Use your own words (don't copy and paste).
*Please, don't use handwriting. *Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.
_______________
Solve the following questions
Q1
Use the classes 900-999, 1000-1099, and so on. (6-classes)
1005 963 1035 1027 1281 1272 1051 1079 1034 1070 1173 1079 1067 1104 1347 1439 1029 1100 1204 1160.Also find relative frequency for each class interval?
________________________
Q2
_____________________
Q3
1 |
4 |
2 |
2 |
5 |
1 |
3 |
6 |
3 |
4 |
7 |
4 |
5 |
8 |
1 |
____________________
Q4
x |
Frequency (f) |
1 |
5 |
2 |
6 |
4 |
9 |
8 |
6 |
12 |
4 |
________________
Q5
__________________
Q6
Guilty Plea |
Plea of not Guilty |
|
Sentenced to Prison |
392 |
58 |
Not Sentenced to Prison |
564 |
14 |
*Please, don't use handwriting. *Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.*Please, don't use handwriting.
In: Statistics and Probability
Brand Tar Nicotine CO
American_Filter 16 1.2 15
Benson_&_Hedges 16 1.2
15
Camel 16 1 17
Capri 9 0.8 6
Carlton 1 0.1 1
Cartier_Vendome 8 0.8 8
Chelsea 10 0.8 10
GPC_Approved 16 1 17
Hi-Lite 14 1 13
Kent 13 1 13
Lucky_Strike 13 1.1 13
Malibu 15 1.2 15
Marlboro 16 1.2 15
Merit 9 0.7 11
Newport_Stripe 11 0.9 15
Now 2 0.2 3
Old_Gold 18 1.4 18
Pall_Mall 15 1.2 15
Players 13 1.1 12
Raleigh 15 1 16
Richland 17 1.3 16
Rite 9 0.8 10
Silva_Thins 12 1 10
Tareyton 14 1 17
Triumph 5 0.5 7
True 6 0.6 7
Vantage 8 0.7 11
Viceroy 18 1.4 15
Winston 16 1.1 18
a) Find the regression equation that expresses the response variable (y) of nicotine amount in terms of the predictor variable (x) of the tar amount.
b) Find the regression equation that expresses the response variable (y) of nicotine amount in terms of the predictor variable (x) of the carbon monoxide amount.
c) Find the regression equation that expresses the response variable (y) of nicotine amount in terms of predictor variables (x) of tar amount and carbon monoxide amount.
d) For the regression equations found in parts (a), (b), and (c), which is the best equation for predicting the nicotine amount? Justify your answer.
e) Is the best regression equation identified in part (d) a good equation for predicting the nicotine amount? Why or why not?
In: Statistics and Probability
9.2
1)
Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F).
x | 19.1 | 16.1 | 19.2 | 18.1 | 17.2 | 15.5 | 14.7 | 17.1 |
y | 90.2 | 72.4 | 93.3 | 85.1 | 82.0 | 75.2 | 69.7 | 82.0 |
x | 15.4 | 16.2 | 15.0 | 17.2 | 16.0 | 17.0 | 14.4 |
y | 69.4 | 83.3 | 79.6 | 82.6 | 80.6 | 83.5 | 76.3 |
Complete parts (a) through (e), given Σx = 248.2, Σy = 1205.2, Σx2 = 4137.66, Σy2 = 97,490.3, Σxy = 20,063.68, and r ≈ 0.856.
(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
Σx = | |
Σy = | |
Σx2 = | |
Σy2 = | |
Σxy = | |
r = |
(c) Find x, and y. Then find the equation of the least-squares
line = a + bx. (Round your answers for
x and y to two decimal places. Round your answers for a
and b to three decimal places.)
x | = | |
y | = | |
= | + x |
(e) Find the value of the coefficient of determination
r2. What percentage of the variation in
y can be explained by the corresponding variation
in x and the least-squares line? What percentage is
unexplained? (Round your answer for r2
to three decimal places. Round your answers for the percentages to
one decimal place.)
r2 = | |
explained | % |
unexplained | % |
(f) What is the predicted temperature when x = 19.4 chirps
per second? (Round your answer to two decimal places.)
°F
2)
(a) Suppose you are given the following (x, y) data pairs.
x | 2 | 3 | 5 |
y | 4 | 3 | 9 |
Find the least-squares equation for these data (rounded to three
digits after the decimal).
ŷ = + x
(b) Now suppose you are given these (x, y) data
pairs.
x | 4 | 3 | 9 |
y | 2 | 3 | 5 |
Find the least-squares equation for these data (rounded to three
digits after the decimal).
ŷ = + x
(c) In the data for parts (a) and (b), did we simply exchange the
x and y values of each data pair?
YesNo
(d) Solve your answer from part (a) for x (rounded to
three digits after the decimal).
x = + y
3)
You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms).
x | 3 | 4 | 12 | 16 | 26 | 36 |
y | 42 | 54 | 70 | 100 | 150 | 200 |
Complete parts (a) through (e), given Σx = 97, Σy = 616, Σx2 = 2397, Σy2 = 82,080, Σxy = 13,882, and r ≈ 0.993.
(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
Σx = | |
Σy = | |
Σx2 = | |
Σy2 = | |
Σxy = | |
r = |
(c) Find x, and y. Then find the equation of the least-squares
line = a + bx. (Round your answers for
x and y to two decimal places. Round your answers for a
and b to three decimal places.)
x | = | |
y | = | |
= | + x |
(d) Graph the least-squares line. Be sure to plot the point (x, y)
as a point on the line.
(e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)
r2 = | |
explained | % |
unexplained | % |
(f) The calves you want to buy are 22 weeks old. What does the
least-squares line predict for a healthy weight? (Round your answer
to two decimal places.)
kg
In: Statistics and Probability