I am stumped on these problems and homework question, please could I get the answers to the questions below from an expert. Thank you

5). Suppose that two population proportions are being compared to test weather there is any difference between them. Assume that the test statistic has been calculated to be z= 2.21. Find the p-value for this situation?   a). p-value = 0.4864 b). p-value = 0.0272 c). p-value = 0.9728 d). p-value = 0.0136.

8). If you are given the following results of a paired-difference test. = -4.6 sd = 0.25 n = 16 Construct a 99 percent confidence interval estimate for the paired difference in mean values?   a) - 3.141___-2.812 b) -5.241____-4.971 c). -4.784___-4.416 d). -2.912____-2.718

16). Given a population in which the probability of success is p= 0.20, if a sample of 500 items is taken, than calculate the probability the proportion of successes in the sample will be between 0.18 and 0.23 if the sample size is 200?    a). 0.8712 b). 0.8911 c). 0.7121 d). 0.6165

17). Construct a 98% confidence interval estimate for the population mean given the following values?    a). (117.46, 122.54) b). (113.67, 126.33) c). (113.41, 126.59) d). (113.13, 126.87).

23). If a distribution for a quantitative variable is thought to be nearly symmetric with very little variation, and a box and whisker plot is created for this distribution, which of the following is true? a). The box will be quite wide but the whisker will be very short b). The upper whisker will be much longer than the lower whisker. c). The whiskers should be about half as long as the box is wide d). The left and right-hand edges of the box will be approximately equal distance from the median.

24). A randomly selected customer support wait time (from a normal distribution) is calculated to be 1.8 standard deviations above its mean. What is the probability that another randomly selected customer wait time from the distribution will be less than 1.8 standard deviations from the mean? a). 0.9641 b).0.9976 c). 0.9281 d). 0.0359

25). The advantage of using the interquartile range versus the range as a measure of variation is?   a). it is easier to compute b). it gives a value that is closer to the true variation. c). it is less affected by extremes in the data d). it utilizes all the data in its computation.

34). Given a population where the proportion of items with a desired attribute is p=0,25, if a sample of 400 is taken, what is the probability the proportion of successes in the sample will be greater than 0.22? a). 0.9162 b). 0.8412 c). 0.8812 d). 0.7141

Test the four lists attached to see if there is a difference between the means or not, then answer the following.
Test Statistic =
p-value =
Decision =

Use alpha = 0.05.

The four lists come from normally-distributed populations.

3.289999962 3.140000105 2.99000001 3

2.950000048 2.980000019 3.059999943 2.940000057

3.150000095 3  2.809999943 3.039999962

2.809999943 3.079999924 2.920000076 3.230000019

2.99000001 3.200000048 2.880000114 3.029999971

3.00999999 3.180000067 3.029999971 2.779999971

2.970000029 2.910000086 2.75  3.089999914

3.039999962 2.799999952 3.069999933 3.079999924

2.920000076 2.900000095 3.059999943 3.099999905

3.079999924 2.869999886 2.920000076 2.829999924

3.079999924 3.119999886 3.109999895 2.970000029

2.940000057 3.059999943 3.109999895 2.960000038

2.980000019 2.849999905 3.119999886 3.029999971

2.930000067 3.059999943 2.839999914 2.910000086

3.089999914 3.039999962 3.049999952 2.829999924

2.950000048 2.75999999 2.779999971 3.160000086

3.089999914 3  2.930000067 2.920000076

3.00999999 3.049999952 3.200000048 3.180000067

2.920000076 3.049999952 3.109999895 2.950000048

3.079999924 2.890000105 2.859999895 3.099999905

2.99000001 3.190000057 2.720000029 2.980000019

2.980000019 2.910000086 2.970000029 2.940000057

3.160000086 2.980000019 2.970000029 2.900000095

2.779999971 2.920000076 2.940000057 3.089999914

What percentage of respondents is contacted typically during data validation?

Group of answer choices

10%

15%

25%

33%

40%

A researcher should consider answers to all of the following questions except _____ when selecting a particular test of significance.

Group of answer choices

how many samples are involved in the test?

are the samples related?

what type of data is involved?

what is the level of significance?

all of the above should be addressed

The level of significance chosen for hypothesis testing is based on _____.

Group of answer choices

the desired level of confidence one wishes to have in the results

the desired degree of precision

how much risk of a type I error one is willing to accept

the statistical test used

whether the sample is a probability sample

1. Of 12 possible books, you plan to take 4 with you on vacation. How many different collections of 4 books can you take?

2. There are 14 standbys who hope to get seats on a flight, but only 6 seats are available on the plane. How many different ways can the 6 people be selected?

3. A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of rolling a number greater than 4.

4. A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of rolling a number less than 20.

5. A city council consists of six Democrats and four Republicans. If a committee of three people is selected, find the probability of selecting one Democrat and two Republicans.

6. A parent-teacher committee consisting of four people is to be selected from fifteen parents and five teachers. Find the probability of selecting two parents and two teachers.

DATA: Grades

A- 10     B- 2     C- 1 D- 0   F- 2

Q23. a) If a committee with 2 student members is to be formed, what is the probability of forming a committee with one A grade and one F grade student?

Q24. If a committee with 3 student members is to be formed, what is the probability of forming a committee with two A grade and one B grade student?

Q25.If the records show that, the probability of failing (with grade F) this course is p, what is the probability that at most 2 students out of 15 fail this course? {Hint: use binomial distribution}

Q26.If the records show that, the probability for a student to get a grade B this course is p, what is the probability that exactly 4 students out of 15 will have a grade B for the course? {Hint: use binomial distribution}

Q27.What is the probability of selecting a grade A student for the first time either in 2nd or 3rd selection?

A data set lists earthquake depths. The summary statistics are n=500 x =6.35 ​km, s=4.12 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 6.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

a)Determine the test statistic.

b)Determine the​ P-value.

c) State the final conclusion that addresses the original claim

__(fail to reject, or reject)_____ Ho there is _(not sufficient, or sufficient) _____ evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km_(is not, is)____ correct

An education researcher is interested in students’ motivation to study local history. The researcher believes that if students experience a particular form of positive coaching, then they will be more likely to show interest in local history.

This researcher is testing two hypotheses. The first is that the coaching boosts self-efficacy and has an effect on students’ motivation. The second is that this treatment effect is moderated by year in school. Past research has suggested that there should not be a main effect for school year. However, to control for this possibility, a 2-way (2x2) factorial ANOVA is being conducted to account for any influence from school year, the treatment, and the interaction of the two main effects.

To test the hypotheses, the research has obtained 28 participants: 14 year-7 students and 14 year-10 students. From each group of 14, 7 students were randomly chosen for the treatment group. After the treatment, all students were given the same test. This test has been used in previous research, has a range of 0 to 100, and measures students’ interest in issues relating to local history. (The higher the test score, the more positive the result.)

Use a 2x2 ANOVA with α=0.02α=0.02 to test the the data and evaluate the hypotheses. Results are provided below for each group of students.

( 1a ) What is the F value for the treatment effect?  
(Report answer accurate to 2 decimal place.)

( 1b ) What is the p-value for the F value for the treatment effect?  
(Report answer accurate to 4 decimal places.)

( 1c ) Does this support the researcher's hypothesis that the treatment has an effect on interest in local history?

• yes
• no

( 2a ) What is the F value for the school-year effect?  
(Report answer accurate to 2 decimal place.)

( 2b ) What is the p-value for the F value for the school-year effect?  
(Report answer accurate to 4 decimal places.)

( 2c ) Does this support the researcher's assumption that school-year does NOT have an effect on interest in local history?

• yes
• no

( 3a ) What is the F value for the interaction effect?  
(Report answer accurate to 2 decimal place.)

( 3b ) What is the p-value for the F value for the interaction effect?  
(Report answer accurate to 4 decimal places.)

( 3c ) Does this support the researcher's hypothesis that the treatment effect is moderated by school-year?

• yes
• no

( 4 ) Based on these findings, which group can you say had the higher average on the test?

• year-7 students
• year-10 students
• group with no coaching
• group with positive coaching
• year-7 students in the control group
• year-10 students in the control group
• year-7 students in the treatment group
• year-10 students in the treatment group

   An education researcher is interested in students’ performance on a mathematics test for a novel---and generally unfamiliar---concept. The researcher believes that if students participate in an extracurricular training session, then they will be more likely to perform better on the mathematics test.

This researcher is testing two hypotheses. The first is that the training session provides specific instruction and has an effect on students’ mathematics test scores. The second is that this treatment effect is moderated by gender. Past research has suggested that there should not be a main effect for gender. However, to control for this possibility, a 2-way (2x2) factorial ANOVA is being conducted to account for any influence from gender, the treatment, and the interaction of the two main effects.

To test the hypotheses, the research has obtained 28 participants: 14 boys and 14 girls. From each group of 14, 7 students were randomly chosen for the treatment group. After the treatment, all students were given the same test. This test has been used in previous research, has a range of 0 to 100, and measures students’ ability to correctly perform the novel mathematics exercise. (The higher the test score, the more positive the result.)

Use a 2x2 ANOVA with α=0.02α=0.02 to test the the data and evaluate the hypotheses. Results are provided below for each group of students.

( 1a ) What is the F value for the treatment effect?  
(Report answer accurate to 2 decimal place.)

( 1b ) What is the p-value for the F value for the treatment effect?  
(Report answer accurate to 4 decimal places.)

( 1c ) Does this support the researcher's hypothesis that the treatment has an effect on ability to solve the mathematics exercise?

• yes
• no

( 2a ) What is the F value for the gender effect?  
(Report answer accurate to 2 decimal place.)

( 2b ) What is the p-value for the F value for the gender effect?  
(Report answer accurate to 4 decimal places.)

( 2c ) Does this support the researcher's assumption that gender does NOT have an effect on ability to solve the mathematics exercise?

• yes
• no

( 3a ) What is the F value for the interaction effect?  
(Report answer accurate to 2 decimal place.)

( 3b ) What is the p-value for the F value for the interaction effect?  
(Report answer accurate to 4 decimal places.)

( 3c ) Does this support the researcher's hypothesis that the treatment effect is moderated by gender?

• yes
• no

If A and B are independent events, P(A)=0.10, and P(B)=0.66, what is P(B|A)?

Copy and paste, or type, the following into cells A1:D5 of an Excel spreadsheet:

Use Excel's Goal Seek to answer the following question. Assuming that demand is fixed at 1,050 units, what is the sell price per unit that results in break even?

Enter only the numerical solution. Do

ONLY ANSWER PART C, D AND E

1A. Suppose The lifetime for a competing brands of tires are independent of each other and approximately normal with unknown means but known variances

σ^2= 975 miles^2 and σ^2= 965 miles^2. We gather did some testing under controlled conditions and have the following summary statistics:

n1= 75

̄x1= 3251.4

n2= 60

̄x2= 3274.7

Construct a 80% confidence interval for the difference in population means,μ1−μ2.

B.Using the same setup as part A, conduct a hypothesis test to check if the means are equal. Use α= 0.2.

C.Using the same setup as part A, but now assuming we do not know the variances but assume they are equal. Construct a 99% confidence interval for the difference in means using the same sample data as before. We now know that the sample variances are s^2= 982.2 and s^2= 967.4.

D.Using the same setup as part C, construct a 90% confidence interval for the ratio of variances σ^2/ σ^2.

E. Using the same setup as part C, conduct a hypothesis test to test whether population 1 has a smaller variance than population 2 using α= 0.1.

Ques: Show a frequency distribution and histogram for "5 Year Average Return (%)" using an appropriate number of class intervals (between 10 and 15). Use clear and effective labels and titles to present the result. Explain the distribution of the variable.

A 10-year study conducted by the American Heart Association provided data on how age, systolic blood pressure relate to the risk of strokes. Data from a portion of this study follow. Risk is interpreted as the probability (times 100) that a person will have a stroke over the next 10-year period. Find the F test statistic for the significance of the regression model (Round to 2 decimals).

Salaries of 46 college graduates who took a statistics course in college have a​ mean, x overbarx​, of $ 67,000. Assuming a standard​ deviation, sigmaσ​, of ​$15,669​, construct a 90​% confidence interval for estimating the population mean muμ.

$_____ < μ < $________

(Round to the nearest integer as needed)

True or False. For samples with fewer individuals, it is a standard practice to use the t score value in place of a z score value when calculating a confidence interval at any level of confidence.