Questions
Construct a 95% confidence interval for the standard deviation for both companies. Interpret and compare the...

Construct a 95% confidence interval for the standard deviation for both companies. Interpret and compare the results. Company 1: S=1.38, n=36, mean=11.42. Company 2: S=55.27, n=36, mean=282.86

In: Statistics and Probability

The positive impact on women holistic advancement from unequal pay system for women. Describe how you...

The positive impact on women holistic advancement from unequal pay system for women. Describe how you may use CFA and SEM to conduct this own research, and why may choose to do so.

In: Statistics and Probability

In a clinical​ trial, 25 out of 822 patients taking a prescription drug daily complained of...

In a clinical​ trial, 25 out of 822 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.7​% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.7% of this​ drug's users experience flulike symptoms as a side effect at the α=0.1 level of​ significance?
Because np 0 ( 1- p 0) = ?

<
>
=

​10, the sample size is

greater thangreater than
less thanless than
​5% of the population​ size, and the sample

is given to be random,
cannot be reasonably assumed to be random,
can be reasonably assumed to be random,
is given to not be random,
the requirements for testing the hypothesis

are
are not
satisfied.

In: Statistics and Probability

Every person has a creative side, and it can be expressed in many ways: problem solving,...

Every person has a creative side, and it can be expressed in many ways: problem solving, original and innovative thinking, and artistically, to name a few. Describe how you express your creative side.

My creative side is searching things, analyze it and problem solving

In: Statistics and Probability

Q1 In a class on 50 students, 35 students passed in all subjects, 5 failed in...

Q1
In a class on 50 students, 35 students passed in all subjects, 5 failed in one subject, 4 failed in two subjects and 6 failed in three subjects.

Construct a probability distribution table for number of subjects a student from the given class has failed in.
Calculate the Standard Deviation.








Q2
45 % of the employees in a company take public transportation daily to go to work. For a random sample of 7 employees, what is the probability that at most 2 employees take public transportation to work daily?

















               
     Q3. Find
        a) P(z < 1.87)
        b) P(z > -1.01)
        c)   P(-1.01 < z < 1.87)
           






Q4
Assume the population of weights of men is normally distributed with a mean of 175 lb. and a standard deviation 30 lb. Find the probability that 20 randomly selected men will have a mean weight that is greater than 178 lb.



















   
Q5
We have a random sample of 100 students and 75 of these people have a weight less than 80 kg. Construct a 95% confidence interval for the population proportion of people who have a weight less than 80 kg.










Q6
We have a sample of size n = 20 with mean x ̅ =12 and the standard deviation σ=2. What is a 95% confidence interval based on this sample?

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

The data in the accompanying table represent the population of a certain country every 10 years...

The data in the accompanying table represent the population of a certain country every 10 years for the years​ 1900-2000. An ecologist is interested in finding an equation that describes the population of the country over time.

Year, x   Population, y
1900   79,212   
1910   92,228   
1920   104,021   
1930   123,202   
1940   132,164   
1950   151,325   
1960   179,323
1970   203,302
1980   226,542
1990   248,709
2000   281,421

​(a) Determine the​ least-squares regression​ equation, treating year as the explanatory variable. Choose the correct answer below.

A.

ŷ =2,011x−3,755,493

B.

ŷ =1,236,362x−3,755,493

C.

ŷ =−3,755,493x+2,011

D.

ŷ =2,011x−1,521,037

In: Statistics and Probability

Question #1. The operations manager of a musical instrument distributor feels that demand for bass drums...

Question #1. The operations manager of a musical instrument distributor feels that demand for bass drums may be related to the number of television appearances by the popular rock group Green Shades during the preceding month. The manager has collected the data shown in the following table:

Demand for                                  Green Shades
Bass Drums                                 TV Appearances
3 3                                                       
8 5
4                                                       4
10 8
11 9
9                                                       7
5                                                       6
11 11
8 9

9 10

11 12

a. Graph the data and briefly describe the linear equation and identity the independent and dependent variables.

b. Using the linear equation, predict drum sales if there are 12 appearances.

In: Statistics and Probability

Suppose the probability of a part being manufactured by Machine A is 0.6 Suppose the probability...

  • Suppose the probability of a part being manufactured by Machine A is 0.6

  • Suppose the probability that a part was manufactured by Machine A and the part is defective is 0.09

  • Suppose the probability that a part was NOT manufactured by Machine A and the part IS defective is 0.13

Find the probability that Machine A produced a specific part, given that the part was defective. Round your final answer to 2 decimals, if needed.

In: Statistics and Probability

ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5...

ID X Y
1 2 3
2 3 6
3 4 6
4 5 7
5 8 7
6 5 7
7 6 7
8 8 8
9 7 8
10 12 11


  1. Test the significance of the correlation coefficient.
  2. Then use math test scores (X) to predict physics test scores (Y).  Do the following:
  1. Create a scatterplot of X and Y.
  2. Write the regression equation and interpret the regression coefficients (i.e., intercept and slope).
  3. Predict the physics score for each.
  4. What assumption is necessary for this prediction to be valid?

In: Statistics and Probability

Human Resource Consulting (HRC) surveyed a random sample of 66 Twin Cities construction companies to find...

Human Resource Consulting (HRC) surveyed a random sample of 66 Twin Cities construction companies to find information on the costs of their health care plans. One of the items being tracked is the annual deductible that employees must pay. The Minnesota Department of Labor reports that historically the mean deductible amount per employee is $499 with a standard deviation of $100.

1. Compute the standard error of the sample mean for HRC.

2. What is the chance HRC finds a sample mean between $477 and $527?

3. Calculate the likelihood that the sample mean is between $492 and $512.

4. What is the probability the sample mean is greater than $530?

In: Statistics and Probability

For 50 randomly selected speed​ dates, attractiveness ratings by males of their female date partners​ (x)...

For 50 randomly selected speed​ dates, attractiveness ratings by males of their female date partners​ (x) are recorded along with the attractiveness ratings by females of their male date partners​ (y); the ratings range from 1 to 10. The 50 paired ratings yield x (overboard)= 6.3​, y (overboard) =6.0​, r = −0.275​, ​P-value= 0.053​, and y^ = 8.13−0.332x. Find the best predicted value of

ModifyingAbove y with caret y^ ​(attractiveness rating by female of​ male) for a date in which the attractiveness rating by the male of the female is x = 4. Use a 0.01 significance level.

The best predicted value of y^ when x = 4 is _______.

​(Round to one decimal place as​ needed.)

In: Statistics and Probability

For the data set shown​ below x   y 20   98 30   95 40   91 50   83...

For the data set shown​ below

x   y
20   98
30   95
40   91
50   83
60   70

​(a) Use technology to find the estimates of β0 and β1.

β0 ≈b0=114.60

​(Round to two decimal places as​ needed.)

β1≈b1=−0.68

​(Round to two decimal places as​ needed.)

​(b) Use technology to compute the standard​ error, the point estimate for σ.

se=3.7771

​(Round to four decimal places as​ needed.)

​(c) Assuming the residuals are normally​ distributed, use technology to determine sb1.

sb1equals=0.1194​

(Round to four decimal places as​ needed.)

​(d) Assuming the residuals are normally​ distributed, test H0: β1=0 versus H1: β1≠0 at the α=0.05 level of significance. Use the​ P-value approach.

Determine the​ P-value for this hypothesis test.

​P-value=__?__

​(Round to three decimal places as​ needed.)

In: Statistics and Probability

What is Statistical Significance? Date 01/29/2019 What is statistical significance? If we randomly assign subjects to...


What is Statistical Significance? Date 01/29/2019
What is statistical significance? If we randomly assign subjects to two groups we would expect there to be some difference in the groups just by chance. If a difference is statistically significant then it is large enough that we would not expect it to happen just by chance. When we compare the results of an experiment, if there is a statistically significant difference then we can conclude that there is a cause-effect relationship between the explanatory variable and the response variable. In this activity we will explore what size difference that is due to chance. This will help us determine statistically significant differences.
The Experiment
Have you ever used music at work to jack up productivity or change your mood? Interestingly some rhythms such as​ ​baroque​, induce enzymes in the brain and add amazing well being and focus. Other tunes leave you punchy ... and unable to focus. Classical​ ​music, such as Haydn and Mozart, often improves concentration and memory when played in the background.
I would like to determine if listening to classical music while studying improves exam scores. Twenty students volunteer to participate in my experiment. Outline the experiment. Use the example shown below as a guide.
What is the explanatory variable? ________________________________________________
What is the response variable? ___________________________________________________
Now it is time to randomly assign the students to the two treatments: to study while listening to classical music or to study in a quiet environment. In order to determine the magnitude of differences that happen by chance, we will assume that listening to classical music while studying does not improve exam scores.
1. We must randomly assign the 20 students to a treatment group. Use the random number table (last page) to make this assignment. Generate 20 one-digit random numbers and indicate the line you used.
Line ​134 20 one-digit numbers ​2, 7, 8, 1, 6, 7, 8, 4, 1, 6, 1, 8, 3, 2, 9, 2, 1, 3, 3, 7
If the number is odd (1, 3, 5, 7, 9), assign the student to study with music. If the number is even (0, 2, 4, 6, 8), assign the student to study with no music. As soon as you have 10 in one treatment group, put remaining students in other group so that there are 10 students in each treatment group.
Student
Random Number
Group (Circle)
Student
Random Number
Group (Circle)
1
​2
Study with music
Study with no music
11
​1
S​tudy with music Study with no music
2
​7
Study with music
Study with no music
12
​8
Study with music
Study with no music
3
​8
Study with music
Study with no music
13
​3
Study with music
Study with no music
4
​1
Study with music
Study with no music
14
​2
Study with music
Study with no music
5
​6
Study with music
Study with no music
15
​9
Study with music
Study with no music
6
​7
Study with music
Study with no music
16
​2
Study with music
Study with no music
7
​8
Study with music
Study with no music
17
​1
Study with music
Study with no music
8
​4
Study with music
Study with no music
18
​3
Study with music
Study with no music
9
​1
Study with music
Study with no music
19
​3
Study with music
Study with no music
10
​6
Study with music
Study with no music
20
​7
Study with music
Study with no music
2. The students take the exam and the grades they earned are recorded below:
3. Record the average score for the subjects in each of the two groups. Also calculate the
difference between these group averages (‘study with music’ average minus ‘study without music’ average). Be sure to indicate if your difference is negative or positive.
Study with music: ​70.7​ Study without music: ​62.9 Difference: ​7.8
4. Below I have recorded the differences determined by students in previous classes. Add
your difference to the results given below.
Match the comparison with the correct interpretation:
___​A​____ What does a positive difference mean? A. The students who studied without music did better than the students who studied with music.
____​B​___ What does a negative difference mean? B. The students who studied with music did better than the students who studied without music.
5. Examine the differences reported above.
Student
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Score
97
61
83
57
79
63
75
67
83
82
77
87
62
81
78
77
52
77
95
73
Study with music – study with no music
- 4.2
2.2
- 2.6
3.4
0.2
3.6
- 3.8
- 4.6
5.2
  
What is the biggest difference that you observe?
What is the smallest difference you observe?
What is the typical difference that you observe? Explain how you determined this value.
6. Suppose I found that there was a difference of 3 points in the average score of the two groups in my experiment. Do you feel this difference is likely to happen just by chance? Explain your reasoning.
7. Suppose I found that there was a difference of 10 points in the average score of the two groups in my experiment. Do you feel this difference is likely to happen just by chance? Explain your reasoning.
8. Which of the differences discussed above (3 points and 10 points) is a significance difference? Explain.

In: Statistics and Probability

Researchers often use z tests to compare their samples to known population norms. The Graded Naming...

Researchers often use z tests to compare their samples to known population norms. The Graded Naming Test (GNT) asks respondents to name objects in a set of 30 black-and-white drawings. The test, often used to detect brain damage, starts with easy words like kangaroo and gets progressively more difficult, ending with words like sextant. The GNT population norm for adults in England is 20.4. Roberts (2003) wondered whether a sample of Canadian adults had different scores than adults in England. If they were different, the English norms would not be valid for use in Canada. The mean for 30 Canadian adults was 17.5. For the purposes of this exercise, assume that the standard deviation of the adults in England is 3.2.

Question 1- Conduct all six steps of a z test:

STEP 1: Identify the populations, distribution, and assumptions.

STEP 2: State the null and research hypotheses.

STEP 3: Determine the characteristics of the comparison distribution.

STEP 4: Determine the critical values, or cutoffs.

STEP 5: Calculate the test statistic.

STEP 6: Make a decision.

Question 2- When we conduct a one-tailed test instead of a two-tailed test, there are small changes in steps 2 and 4 of hypothesis testing. (Note: For this example, assume that those from populations other than the one on which it was normed will score lower, on average. That is, hypothesize that the Canadians will have a lower mean.) Conduct steps 2, 4, and 6 of hypothesis testing for a one-tailed test.

Question 3- When we change the p level that we use as a cutoff, there is a small change in step 4 of hypothesis testing. Although 0.05 is the most commonly used p level, other values, such as 0.01, are often used. For this example, conduct steps 4 and 6 of hypothesis testing for a two-tailed test and p level of 0.01, determining the cutoff and drawing the curve.

In: Statistics and Probability