The average amount of time it takes for couples to further communicate with each other after their first date has ended is 3.31 days. Is this average shorter for blind dates? A researcher interviewed 63 couples who had recently been on blind dates and found that they averaged 3.2 days to communicate with each other after the date was
The average amount of time it takes for couples to further communicate with each other after their first date has ended is 3.31 days. Is this average shorter for blind dates? A researcher interviewed 63 couples who had recently been on blind dates and found that they averaged 3.2 days to communicate with each other after the date was
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The average amount of time it takes for couples to further communicate with each other after their first date has ended is 3.31 days. Is this average shorter for blind dates? A researcher interviewed 63 couples who had recently been on blind dates and found that they averaged 3.2 days to communicate with each other after the date was over. Their standard deviation was 0.501 days. What can be concluded at the the α
= 0.10 level of significance?
- For this study, we should use
- The null and alternative hypotheses would be:
H0:
H1:
- The test statistic
- = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is
α
- Based on this, we should
- the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest that the population mean is not significantly less than 3.31 at α
- = 0.10, so there is statistically insignificant evidence to conclude that the population mean time for couples who have been on a blind date to communicate with each other after the date is over is less than 3.31.
- The data suggest the populaton mean is significantly less than 3.31 at α
- = 0.10, so there is statistically significant evidence to conclude that the population mean time for couples who have been on a blind date to communicate with each other after the date is over is less than 3.31.
- The data suggest the population mean is not significantly less than 3.31 at α
-
- = 0.10, so there is statistically significant evidence to conclude that the population mean time for couples who have been on a blind date to communicate with each other after the date is over is equal to 3.31.
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