A.what is the critical t-stat? Remember to use alpha = 0.05 two-tailed.B. so, is there a difference between how much the dogs will bark for these two different artists? Group of answer choicesNo, p <.05yes, p >.05No, p > 0.05yes, p <.05 c.Finally, construct an 80% interval around the mean difference.What is the lower bound of that interval? D.What is the upper bound of that interval? ### Comparing Canine Response to Music: A Statistical InvestigationA very silly person trains their dogs to bark anytime they hear an Olivia Rodrigo song or a Juice WRLD song. Using the data below, conduct a repeated-measures t-test with an alpha level of 0.05 (two-tailed) to determine if the dogs bark more often at Ms. Rodrigo's music compared to Mr. WRLD's. #### Barking Response Data| Dog | Olivia Rodrigo Songs | Juice WRLD Songs ||------------------ |----------------------|------------------|| Jimmy Chew | 15 | 11 || Lil' Bow Wow | 10 | 11 || Notorious D.O.G. | 11 | 7 || Bark Twain | 9 | 8 || Sir Licks-a-lot | 10 | 9 |Be sure to conduct the test as Olivia Rodrigo-minus-Juice WRLD, so that a positive value means the dogs barked more often for Rodrigo.### Explanation To interpret the data correctly, use the following steps for a repeated-measures t-test:1. **Difference Calculation:** Calculate the difference in barking frequency for each dog between Olivia Rodrigo songs and Juice WRLD songs.2. **Mean Difference:** Compute the mean of these differences.3. **Variance:** Calculate the variance of the differences.4. **Standard Deviation:** Determine the standard deviation of the differences.5. **t-Statistic:** Compute the t-statistic using the formula for the repeated-measures t-test.6. **Critical t-value:** Compare the calculated t-statistic against the critical value for a t-distribution with the appropriate degrees of freedom.Conduct this analysis to determine if the observed differences in barking frequencies are statistically significant, thereby indicating whether dogs bark more for Olivia Rodrigo or Juice WRLD songs.

The objective is to conduct a repeated measures t-test to determine whether the dogs bark more often…

Answered: A. what is the critical t-stat?…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

what is the critical t-stat? Remember to use alpha = 0.05 two-tailed.

so, is there a difference between how much the dogs will bark for these two different artists?

Group of answer choices

No, p <.05

yes, p >.05

No, p > 0.05

yes, p <.05

Finally, construct an 80% interval around the mean difference.

What is the lower bound of that interval?

What is the upper bound of that interval?

### Comparing Canine Response to Music: A Statistical Investigation

A very silly person trains their dogs to bark anytime they hear an Olivia Rodrigo song or a Juice WRLD song. Using the data below, conduct a repeated-measures t-test with an alpha level of 0.05 (two-tailed) to determine if the dogs bark more often at Ms. Rodrigo's music compared to Mr. WRLD's.

#### Barking Response Data

| Dog | Olivia Rodrigo Songs | Juice WRLD Songs |
|------------------ |----------------------|------------------|
| Jimmy Chew | 15 | 11 |
| Lil' Bow Wow | 10 | 11 |
| Notorious D.O.G. | 11 | 7 |
| Bark Twain | 9 | 8 |
| Sir Licks-a-lot | 10 | 9 |

Be sure to conduct the test as Olivia Rodrigo-minus-Juice WRLD, so that a positive value means the dogs barked more often for Rodrigo.

### Explanation
To interpret the data correctly, use the following steps for a repeated-measures t-test:
1. **Difference Calculation:** Calculate the difference in barking frequency for each dog between Olivia Rodrigo songs and Juice WRLD songs.
2. **Mean Difference:** Compute the mean of these differences.
3. **Variance:** Calculate the variance of the differences.
4. **Standard Deviation:** Determine the standard deviation of the differences.
5. **t-Statistic:** Compute the t-statistic using the formula for the repeated-measures t-test.
6. **Critical t-value:** Compare the calculated t-statistic against the critical value for a t-distribution with the appropriate degrees of freedom.

Conduct this analysis to determine if the observed differences in barking frequencies are statistically significant, thereby indicating whether dogs bark more for Olivia Rodrigo or Juice WRLD songs.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution