Question

Asked Jun 17, 2019

8 views

A therapist believes that the music a child listens to may have an impact on the number of words on a list he or she can memorize. In order to test this, the therapist selects a random sample of children for an experiment. She has the children look over a list of 100 words for 5 minutes while listening to classic rock music. After the 5 minutes, she tests the children to see how many words they can remember from the list. She then does the same experiment, this time with a different list of words, while the children listen to classical music. Suppose that data were collected for a random sample of 19 children, where each difference is calculated by subtracting the number of words remembered listening to classical music from the number of words remembered listening to classic rock music. Assume that the numbers of words are normally distributed. The test statistic is t≈6.448, α=0.05, the corresponding rejection regions are t<−2.101 and t>2.101, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0.

Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the number of words remembered when listening to classic rock music and the number of words for classical music is significantly not equal to zero?

Select all that apply:

A) Reject the null hypothesis that the true mean difference between the number of words remembered when listening to classic rock music and the number of words for classical music is equal to zero.

B) Fail to reject the null hypothesis that the true mean difference between the number of words remembered when listening to classic rock music and the number of words for classical music is equal to zero.

C) Based on the results of the hypothesis test, there is enough evidence at the α=0.05 level of significance to suggest that the true mean difference between the number of words remembered when listening to classic rock music and the number of words for classical music is not equal to zero.

D) Based on the results of the hypothesis test, there is not enough evidence at the α=0.05 level of significance to suggest that the true mean difference between the number of words remembered when listening to classic rock music and the number of words for classical music is not equal to zero.

1 Rating

Step 1

Given

Null hypothesis H0 : µd = 0

Alternative hypothesis Ha: µd ≠ 0

A sample size of 19 students is considered and the test statistic is t ...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: An economist claims that the proportion of people who plan to purchase a fully electric vehicle as t...

A: The provided information are: Sample size (n) = 750Hypothesised proportion (po)=0.65From the provide...

Q: What is a CI and what information is required to set up a CI?

A: CI:CI represents confidence interval.

Q: Professor Jennings claims that only 35% of the students at Flora College work while attending school...

A: (a) Level of significance:It is given that to test whether more than 35% of the students have jobs, ...

Q: 1. Field tests if a low-calorie sport drink found that 80 of the 100 who tasted the beverage preferr...

A: Test whether there is enough evidence to conclude that the company should launch the product.State t...

Q: A farmer wants to test if a new fertilizer will produce more massive crops. In order to do this, he ...

A: Paired t-test statistic:In order to test a hypothesis regarding whether the difference between a pai...

Q: Linear Programming Problem A manufacturer of three models of tote bag must determine the production ...

A: This can be solved using Solver tool in Excel. Go to Data tab in Excel and check if you see Solver u...

Q: Describe when a given distribution is a probability distribution.

A: Let us assume X be a random variable such that X connected with the outcome of a random experiment w...

Q: The range for a set of data is estimated to be 56. a. What is the planning value for the population ...

A: a. The planning value for the standard deviation is calculated as:

Q: A politician recently made the claim that 47% of taxpayers from a certain region do not pay any inco...

A: The aim is to identify the null and alternative hypotheses for testing the claim.