Questions
Test the given claim. Assume that a simple random sample is selected from a normally distributed...

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....

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...

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?...

Is the average amount of time spent sleeping each day different between male and female students?

  1. 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...

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...

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...

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...

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...

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...

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

A. A survey of 1283 student loan borrowers found that 428 had loans totaling more than...

A. A survey of 1283 student loan borrowers found that 428 had loans totaling more than $20,000 for their undergraduate education. Give a 99% confidence interval for the proportion of all student loan borrowers who have loans of $20,000 or more for their undergraduate education

B. In a study of the relationship between pet ownership and physical activity in older adults, 598 subjects reported that they owned a pet, while 1922 reported that they did not. Give a 99% confidence interval for the proportion of older adults in this population who are pet owners.

In: Statistics and Probability

1. A multiple linear regression model should not be used if: A The variables are all...

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...

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

  1. Construct a cumulative frequency distribution of the 20 brain volumes(cm3) listed below.

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

  1. Use data above in question 1 to build the frequency polygon. Is the distribution symmetric?

_____________________

Q3

  1. Find the mean, mode, median, variance, Standard Deviation, and range of the following data:

1

4

2

2

5

1

3

6

3

4

7

4

5

8

1

____________________

Q4

  1. Find the mean and the Variance of the following sample data:

           

x

Frequency (f)

1

5

2

6

4

9

8

6

12

4

________________

Q5

  1. Two dice with six faces are rolled, find the sample space and number of elements in the sample space. Also calculate the probability that the sum of the two faces is equal 6.

__________________

Q6

  1. Use the Prison and Plea data in following table to calculate part a and b :

Guilty Plea

Plea of not Guilty

Sentenced to Prison

392

58

Not Sentenced to Prison

564

14

  1. If someone from the 1028 subjects is randomly selected, find the probability of selecting someone sentenced to prison.
  2. If someone from the 1028 subjects is randomly selected, find the probability of selecting someone sentenced to prison and entered a Guilty Plea.

  *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...

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...

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