The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.68 days.  Is this average different for blind dates? A researcher interviewed 40 couples who had recently been on blind dates and found that they averaged 2.5 days to communicate with each other after the date was over.  Their standard deviation was 0.738 days. What can be concluded at the the αα = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:       H0:H0:  ? μ p  Select an answer > ≠ = <         H1:H1:  ? p μ  Select an answer = > ≠ <     The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? ≤ >  αα Based on this, we should Select an answer fail to reject accept reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly different from 2.68 at αα = 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 2.68. The data suggest that the population mean is not significantly different from 2.68 at αα = 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 different from 2.68. The data suggest the populaton mean is significantly different from 2.68 at αα = 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 different from 2.68.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 2.68 days.  Is this average different for blind dates? A researcher interviewed 40 couples who had recently been on blind dates and found that they averaged 2.5 days to communicate with each other after the date was over.  Their standard deviation was 0.738 days. What can be concluded at the the αα = 0.10 level of significance?

  1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion 
  2. The null and alternative hypotheses would be:     

 H0:H0:  ? μ p  Select an answer > ≠ = <       

 H1:H1:  ? p μ  Select an answer = > ≠ <    

  1. The test statistic ? t z  =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is ? ≤ >  αα
  4. Based on this, we should Select an answer fail to reject accept reject  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the population mean is not significantly different from 2.68 at αα = 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 2.68.
    • The data suggest that the population mean is not significantly different from 2.68 at αα = 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 different from 2.68.
    • The data suggest the populaton mean is significantly different from 2.68 at αα = 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 different from 2.68.
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