The mean number of eggs per person eaten in the United States is 224. Do college students eat less eggs than the average American? The 46 college students surveyed averaged 205 eggs per person and their standard deviation was 61.4. What can be concluded at the  αα = 0.05 level of significance? For this study, we should use Select an answer z-test for a population proportion or t-test for a population mean?  T-test 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  =  (please show your answer to 3 decimal places.)  -2.099 The p-value =  (Please show your answer to 4 decimal places.)  0.0207 The p-value is ? ≤ >  αα  < Based on this, we should Select an answer fail to reject, accept or reject  the null hypothesis.  Reject Thus, the final conclusion is that ... The data suggest that the population mean is not significantly less than 224 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean number of eggs consumed by college students per year is less than 224. The data suggest that the populaton mean is significantly less than 224 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is less than 224. The data suggest that the sample mean is not significantly less than 224 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is less than 205. Interpret the p-value in the context of the study. There is a 2.07401886% chance that the population mean number of eggs consumed by college students per year is less than 224.  There is a 2.07401886% chance of a Type I error. If the population mean number of eggs consumed by college students per year is 224 and if another 46 college students are surveyed then there would be a 2.07401886% chance that the sample mean for these 46 students surveyed would be less than 205. If the population mean number of eggs consumed by college students per year is 224 and if another 46 students are surveyed then there would be a 2.07401886% chance that the population mean number of eggs consumed by college students per year would be less than 224. Interpret the level of significance in the context of the study. There is a 5% chance that you will find the chicken that lays the golden eggs. There is a 5% chance that the population mean number of eggs consumed by college students per year is less than 224. If the population mean number of eggs consumed by college students per year is 224 and if another 46 college students are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is less than 224. If the population population mean number of eggs consumed by college students per year is less than 224 and if another 46 college students are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is equal to 224.

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The mean number of eggs per person eaten in the United States is 224. Do college students eat less eggs than the average American? The 46 college students surveyed averaged 205 eggs per person and their standard deviation was 61.4. What can be concluded at the  αα = 0.05 level of significance?

  1. For this study, we should use Select an answer z-test for a population proportion or t-test for a population mean?  T-test
  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  =  (please show your answer to 3 decimal places.)  -2.099
  2. The p-value =  (Please show your answer to 4 decimal places.)  0.0207
  3. The p-value is ? ≤ >  αα  <
  4. Based on this, we should Select an answer fail to reject, accept or reject  the null hypothesis.  Reject
  5. Thus, the final conclusion is that ...
    • The data suggest that the population mean is not significantly less than 224 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean number of eggs consumed by college students per year is less than 224.
    • The data suggest that the populaton mean is significantly less than 224 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is less than 224.
    • The data suggest that the sample mean is not significantly less than 224 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is less than 205.
  6. Interpret the p-value in the context of the study.
    • There is a 2.07401886% chance that the population mean number of eggs consumed by college students per year is less than 224.
    •  There is a 2.07401886% chance of a Type I error.
    • If the population mean number of eggs consumed by college students per year is 224 and if another 46 college students are surveyed then there would be a 2.07401886% chance that the sample mean for these 46 students surveyed would be less than 205.
    • If the population mean number of eggs consumed by college students per year is 224 and if another 46 students are surveyed then there would be a 2.07401886% chance that the population mean number of eggs consumed by college students per year would be less than 224.
  7. Interpret the level of significance in the context of the study.
    • There is a 5% chance that you will find the chicken that lays the golden eggs.
    • There is a 5% chance that the population mean number of eggs consumed by college students per year is less than 224.
    • If the population mean number of eggs consumed by college students per year is 224 and if another 46 college students are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is less than 224.
    • If the population population mean number of eggs consumed by college students per year is less than 224 and if another 46 college students are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is equal to 224.

    Please answer 5, 6, 7

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