Women are recommended to consume 1730 calories per day. You suspect that the average calorie intake is smaller for women at your college. The data for the 14 women who participated in the study is shown below: 1433, 1903, 1880, 1800, 1841, 1721, 1473, 1515, 1733, 1856, 1500, 1452, 1838, 1586 Assuming that the distribution is normal, what can be concluded at 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.  T-test The null and alternative hypotheses would be:       H0:H0:  ? μ p  Select an answer ≠ = < >       =1730  H1:H1:  ? p μ  Select an answer = < ≠ >       <1730 The test statistic ? z t  = t (please show your answer to 3 decimal places.)  -1.031 The p-value =  (Please show your answer to 4 decimal places.)  0.1607 The p-value is ?  ≤  αα   Based on this, we should Select an answer accept reject fail to reject  the null hypothesis.  Fail to reject is the correct answer. Thus, the final conclusion is that ... The data suggest the population mean is not significantly less than 1730 at αα = 0.10, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1730. The data suggest that the population mean calorie intake for women at your college is not significantly less than 1730 at αα = 0.10, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1730. The data suggest the populaton mean is significantly less than 1730 at αα = 0.10, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1730. Interpret the p-value in the context of the study. There is a 16.06909829% chance that the population mean calorie intake for women at your college is less than 1730. If the population mean calorie intake for women at your college is 1730 and if you survey another 14 women at your college, then there would be a 16.06909829% chance that the sample mean for these 14 women would be less than 1681. If the population mean calorie intake for women at your college is 1730 and if you survey another 14 women at your college, then there would be a 16.06909829% chance that the population mean calorie intake for women at your college would be less than 1730.  There is a 16.06909829% chance of a Type I error. Interpret the level of significance in the context of the study. If the population mean calorie intake for women at your college is 1730 and if you survey another 14 women at your college, then there would be a 10% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is less than 1730. There is a 10% chance that the women at your college are just eating too many desserts and will all gain the freshmen 15. If the population mean calorie intake for women at your college is less than 1730 and if you survey another 14 women at your college, then there would be a 10% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is equal to 1730. There is a 10% chance that the population mean calorie intake for women at your college is less than 1730.   Please answer for 5, 6, 7,

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Women are recommended to consume 1730 calories per day. You suspect that the average calorie intake is smaller for women at your college. The data for the 14 women who participated in the study is shown below:

1433, 1903, 1880, 1800, 1841, 1721, 1473, 1515, 1733, 1856, 1500, 1452, 1838, 1586

Assuming that the distribution is normal, what can be concluded at 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.  T-test
  2. The null and alternative hypotheses would be:     

 H0:H0:  ? μ p  Select an answer ≠ = < >       =1730

 H1:H1:  ? p μ  Select an answer = < ≠ >       <1730

  1. The test statistic ? z t  = t (please show your answer to 3 decimal places.)  -1.031
  2. The p-value =  (Please show your answer to 4 decimal places.)  0.1607
  3. The p-value is ?  ≤  αα  
  4. Based on this, we should Select an answer accept reject fail to reject  the null hypothesis.  Fail to reject is the correct answer.
  5. Thus, the final conclusion is that ...
    • The data suggest the population mean is not significantly less than 1730 at αα = 0.10, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1730.
    • The data suggest that the population mean calorie intake for women at your college is not significantly less than 1730 at αα = 0.10, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1730.
    • The data suggest the populaton mean is significantly less than 1730 at αα = 0.10, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1730.
  6. Interpret the p-value in the context of the study.
    • There is a 16.06909829% chance that the population mean calorie intake for women at your college is less than 1730.
    • If the population mean calorie intake for women at your college is 1730 and if you survey another 14 women at your college, then there would be a 16.06909829% chance that the sample mean for these 14 women would be less than 1681.
    • If the population mean calorie intake for women at your college is 1730 and if you survey another 14 women at your college, then there would be a 16.06909829% chance that the population mean calorie intake for women at your college would be less than 1730.
    •  There is a 16.06909829% chance of a Type I error.
  7. Interpret the level of significance in the context of the study.
    • If the population mean calorie intake for women at your college is 1730 and if you survey another 14 women at your college, then there would be a 10% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is less than 1730.
    • There is a 10% chance that the women at your college are just eating too many desserts and will all gain the freshmen 15.
    • If the population mean calorie intake for women at your college is less than 1730 and if you survey another 14 women at your college, then there would be a 10% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is equal to 1730.
    • There is a 10% chance that the population mean calorie intake for women at your college is less than 1730.

     

    Please answer for 5, 6, 7,

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