Using Excel, go to Data, select Data Analysis, choose t-Test: Paired Two Sample for Means.
Before | After | |
Mean | 6 | 5.625 |
Variance | 3.429 | 2.839 |
Observations | 8 | 8 |
Pearson Correlation | 0.412 | |
Hypothesized Mean Difference | 0 | |
df | 7 | |
t Stat | 0.552 | |
P(T<=t) one-tail | 0.2992 | |
t Critical one-tail | 1.8946 | |
P(T<=t) two-tail | 0.5983 | |
t Critical two-tail | 2.3646 |
H0: µd ≤ 0
Ha: µd > 0
Test statistic (t Stat) = 0.552
p-value (one-tail) = 0.2992
Since p-value is more than 0.05,
Do not reject H0. There is insuffiecient evidence to conclude that seeing the commercial improves the mean potential to purchase.
A market research firm used a sample of individuals to rate the purchase potential of a...
A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial...
A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial...
A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial...
A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial...
You may need to use the appropriate appendix table or technology to answer this question. Individuals filing federal income tax returns prior to March 31 received an average refund of $1,063. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). (a) A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower...
Consider the following hypothesis test. Ha: μ < 50 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use -0.01. X (a) 49 and s-5.2 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. Do not reject Ho There is insufficient evidence to conclude that u 50 O Reject Ho....
You may need to use the appropriate technology to answer this question. Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use a = 0.05 and test to see...
A sample mean, sample standard deviation, and sample size are given. Use the one meant test to perform the required hypothesis test about the mean, , of the population from which the sample was drawn. Use the P-value approach. Also, assess the strength of the evidence against the null hypothesis. x-22,298, s=14200, n = 17, HO: P = 30,000, Ha# 30,000 a -0.05. Test statistic: 224. P.value 0.0200. Reject the null hypothesis. There is sufficient evidence to conclude that the...
Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant 8 has 1 year of experience. Use a 0.0s and test to see whether the consultant with more experience has the higher population mean service rating Consultant...
The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let μ denote the true average reflectometer reading for a new type of paint under consideration A test of Ho: μ 20 versus Ha: μ > 20 will be based on a random sample of size n from a normal population distribution. What conclusion is appropriate in each of the following situations? (Round your P-values to three decimal places.) (a) z3.3, a-0.05...