Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of d⎯⎯=5.0d¯=5.0 and a sample standard deviation of s_d = 7.8.

(a) Calculate a 95 percent confidence interval for µ_d = µ₁ – µ₂. Can we be 95 percent confident that the difference between µ₁ and µ₂ is greater than 0? (Round your answers to 2 decimal places.)

Confidence interval = [ ,  ] ; (Click to select)NoYes

(b) Test the null hypothesis H₀: µ_d = 0 versus the alternative hypothesis H_a: µ_d ≠ 0 by setting α equal to .10, .05, .01, and .001. How much evidence is there that µ_d differs from 0? What does this say about how µ₁ and µ₂ compare? (Round your answer to 3 decimal places.)

(c) The p-value for testing H₀: µ_d < 3 versus H_a: µ_d > 3 equals .0395. Use the p-value to test these hypotheses with α equal to .10, .05, .01, and .001. How much evidence is there that µ_d exceeds 3? What does this say about the size of the difference between µ₁ and µ₂? (Round your answer to 3 decimal places.)

A health psychologist tests a new intervention to determine if it can change healthy behaviors among siblings. To conduct the this test using a matched-pairs design, the researcher gives one sibling an intervention, and the other sibling is given a control task without the intervention. The number of healthy behaviors observed in the siblings during a 5-minute observation were then recorded. Intervention Yes 6, 2, 5,6,6,5 No 4,5,4,5,4,4

(a) Test whether or not the number of healthy behaviors differ at a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal places.)

State the decision to retain or reject the null hypothesis. Retain the null hypothesis. Reject the null hypothesis. (

b) Compute effect size using eta-squared. (Round your answer to two decimal places.)

In an article in the Journal of Advertising, Weinberger and Spotts compare the use of humor in television ads in the United States and in the United Kingdom. Suppose that independent random samples of television ads are taken in the two countries. A random sample of 400 television ads in the United Kingdom reveals that 145 use humor, while a random sample of 500 television ads in the United States reveals that 124 use humor.

(a) Set up the null and alternative hypotheses needed to determine whether the proportion of ads using humor in the United Kingdom differs from the proportion of ads using humor in the United States.

H₀: p₁ − p₂ (Click to select)≠= 0 versus H_a: p₁ − p₂ (Click to select)=≠ 0.

(b) Test the hypotheses you set up in part a by using critical values and by setting α equal to .10, .05, .01, and .001. How much evidence is there that the proportions of U.K. and U.S. ads using humor are different? (Round the proportion values to 3 decimal places. Round your answer to 2 decimal places.)

  z           

(Click to select)RejectDo not Reject H₀ at each value of α; (Click to select)very strongstrongextremely strongsomenone evidence.

(c) Set up the hypotheses needed to attempt to establish that the difference between the proportions of U.K. and U.S. ads using humor is more than .05 (five percentage points). Test these hypotheses by using a p-value and by setting α equal to .10, .05, .01, and .001. How much evidence is there that the difference between the proportions exceeds .05? (Round the proportion values to 3 decimal places. Round your z value to 2 decimal places and p-value to 4 decimal places.)

(Click to select)RejectDo not Reject H₀ at each value of α = .10 and α = .05; (Click to select)very strongstrongextremely strongsomenone evidence.

(d) Calculate a 95 percent confidence interval for the difference between the proportion of U.K. ads using humor and the proportion of U.S. ads using humor. Interpret this interval. Can we be 95 percent confident that the proportion of U.K. ads using humor is greater than the proportion of U.S. ads using humor? (Round the proportion values to 3 decimal places. Round your answers to 4 decimal places.)

95% of Confidence Interval                      [ , ]

(Click to select)NoYes the entire interval is above zero.

PLS ONLY ANSWER IN PSYCHOLOGICAL STATISTICS FORM. QUESTION IS MARKED OUT OF 6. Explain why depression is a hypothetical construct instead of a concrete variable. Describe how depression might be measured and defined using an operational definition. TIP: The more details you provide for the operational definition the better your mark. It should be your OWN definition not a psychological test used already. Doing some research on what are clinical indicators for depression will help you better answer this question. (6 points)

A study of 248 advertising firms revealed their income after taxes:

1. What is the probability an advertising firm selected at random has under $1 million in income after taxes? (Round your answer to 2 decimal places.)

1. b-1. What is the probability an advertising firm selected at random has either an income between $1 million and $20 million, or an income of $20 million or more? (Round your answer to 2 decimal places.)

1. b-2. What rule of probability was applied?

• Rule of complements only

• Special rule of addition only

• Either

The mean time required to complete a certain type of construction project is 52 weeks with a standard deviation of 3 weeks. Answer questions 4–7 using the preceding information and modeling this situation as a normal distribution.

1. What is the probability of the completing the project in no more than 52 weeks?

1. 0.25
2. 0.50
3. 0.75
4. 0.05

2. What is the probability of the completing the project in more than 55 weeks?

1. 0.1587
2. 0.5091
3. 0.7511
4. 0.0546

3. What is the probability of completing the project between 56 weeks and 64 weeks?

1. 0.2587
2. 0.3334
3. 0.5876
4. 0.0911

4. What is the probability of completing the project within plus or minus one standard deviation of the mean?

1. 0.951
2. 0.852
3. 0.759
4. 0.683

Suppose a candy company representative claims that colored candies are mixed such that each large production batch has precisely the following proportions: 10% brown, 10% yellow, 30% red, 20% orange, 10% green, and 20% blue. The colors present in a sample of 3613 candies were recorded. Is the representative's claim about the expected proportions of each color refuted by the data?

Step 1 of 10 :  State the null and alternative hypothesis.

Step 2 of 10 :  What does the null hypothesis indicate about the proportions?

Step 3 of 10 :  State the null and alternative hypothesis in terms of the expected proportions.

Step 4 and 5 of 10 :  Find the expected value for the number for each color. Round your answer to two decimal places.

Step 6 of 10 :  Find the value of the test statistic. Round your answer to three decimal places

Step 7 of 10 :  Find the degrees of freedom associated with the test statistic for this problem.

Step 8 of 10 :  Find the critical value of the test at the 0.20,0.15,0.10,0.05,0.02,0.01 level of significance. Round your answer to three decimal places.

Step 9 of 10 :  Make the decision to reject or fail to reject the null hypothesis at each level of significance.

Step 10 of 10 :  State the conclusion of the hypothesis test at each level of significance.

Hello! I was asked to use spss to find the percentage of people that are over 51 years old in a variable of people of different ages. Can someone tell me how to do this in spss? thanks!

A sample of 1000 college students at NC State University were randomly selected for a survey. Among the survey participants, 108 students suggested that classes begin at 8 AM instead of 8:30 AM. The sample proportion is 0.108.

What is the lower endpoint for the 90% confidence interval? Give your answer to three decimal places.

(Note that due to the randomization of the questions, the numbers in this question might be different from the previous question.)

Answer:

Answer All Questions:

1. What is the difference between a population and a samplein statistics?(I need Unique answer) (i need more details and more Explain)(use your own words don't copy and paste) (don't use handwritting) (put ypur refrence URL Link)
2. How to interpret confidence intervals and confidence levels? (I need Unique answer) (i need more details and more Explain)(use your own words don't copy and paste) (don't use handwritting) (put ypur refrence URL Link)
3. Why the p-value is important? (I need Unique answer) (i need more details and more Explain)(use your own words don't copy and paste) (don't use handwritting) (put ypur refrence URL Link)

For this Pause-Problem, I want you to design three (brief!) studies (they can all be variations on the same idea).

***Make sure to note the independent and dependent variables for all

1). One should use an independent three group design

–

2). One should use a matched OR natural set design

–

3). One should use a repeated measures design

Suppose that the national average for the math portion of the College Board's SAT is 518. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places.

What are the minimum and maximum of the following dataset? Normalize these data so that the normalized data have a minimum of 0 and maximum of 1.
•   5.0, 5.5, 6.2, –4.8, 7.2, 5.4

Consider the class C of all intervals of the form (a, b), a, b ∈ R, a < b and ∅. Show that C is closed under finite intersections but not under complementations or unions. Hint: to show closure of finite intersections, it is enough to prove closure for intersections of 2 sets.

Consider the following linear programming problem: Min 2x+2y s.t. x+3y <= 12 3x+y>=13 x-y<=3 x,y>=0

a) Find the optimal solution using the graphical solution procedure.

b)      Find the value of the objective function at optimal solution.

c)      Determine the amount of slack or surplus for each constraint.

d)        Suppose the objective function is changed to mac 5A +2B. Find the optimal solution and the value of the objective function.