Question

In: Statistics and Probability

Test of significance B1=2.230 SE=0.051 Df= 148 Is B1 more than 2? draw a graph to...

Test of significance

B1=2.230

SE=0.051

Df= 148

Is B1 more than 2?

draw a graph to show p value. add the confidence interval as well. t*= 1.96

Solutions

Expert Solution

Solution:

Here, we have to use t test for significance of regression coefficient.

The null and alternative hypotheses are given as below:

Null hypothesis: H₀: ?₁ = 2

Alternative hypothesis: H_a: ?₁ > 2

This is a one/upper/right tailed test.

We are given

B₁ = 2.230

SE = 0.051

DF = 148

Critical t value = 1.96

Significance level = ? = 0.05

(Significance level related to given critical t value)

Test statistic = t = B₁/SE

Test statistic = t = 2.230/0.051

Test statistic = t = 43.72549

P-value = 0.00

? = 0.05

P-value < ? = 0.05

So, we reject the null hypothesis H₀

There is sufficient evidence to conclude that B1 is more than 2.

Confidence interval = B1 ± t*SE

Confidence interval = 2.230 ± 1.96*0.051

Confidence interval = 2.230 ± 0.09996

Lower limit = 2.230 - 0.09996 =2.13004

Upper limit = 2.230 + 0.09996 = 2.32996

Confidence interval = (2.13004, 2.32996)

WE are 95% confident that the population regression slope ?1 will be lies between 2.13004 and 2.32996.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

This is more of a consumer protection piece more so than contracts per se. But cell...

This is more of a consumer protection piece more so than contracts per se. But cell phones, insurance, and mortgages have some very tricky fine print. There is an economist saying, 'there's no free lunch.' This is so true. When Verizon and AT&T offer a free phone with the 2 year contract, we may think we are getting a deal but when you think that you are paying $90 a month (or more) for 24 months, which equals nearly $2200,...

Test, at the 1% level of significance, whether the average business has more than 15 employees....

Test, at the 1% level of significance, whether the average business has more than 15 employees. Employees 14 17 17 6 8 17 21 16 6 17 11 17 15 16 20 19 6 12 17 22 20 17 11 11 9 22 17 18 21 20 26 7 16 19 18 11 21 17 25 16 22 14 14 16 18 20 21 11 19 13 6 11 19 14 18 31 13 15 17 21 10 20 21...

Construct a connected undirected graph with 25 or more nodes. - Draw your graph in a...

Construct a connected undirected graph with 25 or more nodes. - Draw your graph in a diagram. - Draw the adjacency matrix of your graph. - Draw the adjacency list of your graph. - Run the BFS algorithm on your graph and complete the chart discussed in class. Detailed steps, including the changes of node color, predecessor, etc., as discussed in class, are required.

1) Draw the structure of the product formed by addition of vitamin B1 and benzaldehyde. 2)...

1) Draw the structure of the product formed by addition of vitamin B1 and benzaldehyde. 2) Ammonia adds to carbonyl groups but is ineffective as a catalyst for the benzoin condensation. Explain. 3) Write a balanced oxidation-reduction equation for the oxidation of benzoin by ammonium nitrate (the cupric ion catalysis need not to be considered). 4) In the benzil oxidation the initial blue color changes to gren as the reaction proceeds. Why? 5) In dilantin sodium it is the imide...

1) Draw the structure of the product formed by addition of vitamin B1 and benzaldehyde. 2)...

Draw a 1). position graph, 2). velocity graph, and 3). acceleration graph of a person standing...

Draw a 1). position graph, 2). velocity graph, and 3). acceleration graph of a person standing one second, then goes down into a squat for three seconds, back up for one second and then a one second stand for the first rep. 2nd rep- this person goes back down for three seconds, and then has a one second pause at the bottom of the squat, and then back up for one second.

Q2. a) Explain the penetration test carried out on bitumen, state its significance and draw the...

Q2. a) Explain the penetration test carried out on bitumen, state its significance and draw the test apparatus. b). Mention the main factors considered in the choice of construction materials at the design office – is any of them more important than the other? c). What factors affect the weldability of steel? d). Consider the iron value chain from material extraction to disposal, at what point according to your assessment is the most energy used? As a design engineer, at...

Test the hypothesis (at the .05 level of significance) that individuals who were bullied are more...

Test the hypothesis (at the .05 level of significance) that individuals who were bullied are more likely to bully others. Test the hypothesis (at the .05 level of significance) that individuals who were bullied committed more bullying than those who were not bullied ID of Respondent #of Friends who Bully Respondent was a Bully Victim (0=No, 1=Yes) Gender (0=Female, 1=Male) # of times Respondent Bullied Others 1 2 1 1 5 2 4 1 0 2 3 3 0 1...

1. Explain the process of creating a significance test. 2. How do confidence intervals and significance...

1. Explain the process of creating a significance test. 2. How do confidence intervals and significance tests relate? 3. When do you use a matched-pairs t-test?

There are more than 168,000 interstate motor carriers with more than 2 million trucks in the...

There are more than 168,000 interstate motor carriers with more than 2 million trucks in the U.S., according to the American Trucking Associations, an industry group. Does the large number of carriers necessarily indicate that the industry is perfectly competitive

Subjects