One of the measures of the effectiveness of a stimulus is how much the viewer’s pulse rate increases on exposure to it. In testing a lively new music theme for its television commercials, an advertising agency shows ads with the new music to a sample of 31 viewers. Their mean pulse rate increase is 20.5 beats per minute, with a standard deviation of 7.4. For another sample of 35 viewers seeing the same ads with the previous music theme, the mean pulse rate increase is 16.4 beats per minute, with a standard deviation of 4.9. Assuming normal populations, can we conclude that the new music theme is better than the old in terms of its effectiveness as a stimulus? Using the 0.01 level of significance, obtain a test statistic and critical value(s) to determine whether the null hypothesis is rejected.

Question

One of the measures of the effectiveness of a stimulus is how much the viewer’s pulse rate increases on exposure to it. In testing a lively new music theme for its television commercials, an advertising agency shows ads with the new music to a sample of 31 viewers. Their mean pulse rate increase is 20.5 beats per minute, with a standard deviation of 7.4. For another sample of 35 viewers seeing the same ads with the previous music theme, the mean pulse rate increase is 16.4 beats per minute, with a standard deviation of 4.9. Assuming normal populations, can we conclude that the new music theme is better than the old in terms of its effectiveness as a stimulus? Using the 0.01 level of significance, obtain a test statistic and critical value(s) to determine whether the null hypothesis is rejected.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: For a population with a mean of 75 and a standard deviation of 12, what proportion of sample means o...

A: Given, Mean μ = 75 Standard deviation σ = 12 sample size n = 16  

Q: 35 A single die is rolled twice. The 36​ equally-likely outcomes are shown to the right.   Find the ...

A: Consider that single die is rolled twice. The sample space of  rolled a die twice is, There 36 equa...

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers h...

A: Given data: Head breadths are normally distributed with mean and standard deviation as: μ=5.9-inσ=1....

Q: 4. A random sample of size 64 is drawn from a population with mean 80 and standard deviation 20. Des...

A: 4) Given Information: A random sample of size 64 is drawn from a population with mean 80 and standar...

Q: In the Northern Hemisphere, dolphins swim predominantly in a counterclockwise direction while sleepi...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: The following equation represents the relationship between hours of TV watched per day (x) and the n...

A: Click to see the answer

Q: Determine the point estimate of the population proportion, the margin of error for the following con...

A: Click to see the answer

Q: You have an independent-measures study where your first sample has an S2=9 and your second sample ha...

A: (A). Compute the sample variances and pooled variance: Given that the sample sizes of two samples ar...

Q: a.  A bag contains 4 green marbles, 6 white marbles, and 10red marbles. If a marble is drawn from th...

A: a. There are 4 green marbles, 6 white marbles, and 10 red marbles in the bag. Total number of marble...