The mean number of eggs per person eaten in the United States is 242. Do college students eat less eggs than the average American? The 59 college students surveyed averaged 240 eggs per person and their standard deviation was 52.2. What can be concluded at the  αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion, t-test for a population mean  The null and alternative hypotheses would be:       H0:H0:  ? μ p  Select an answer ≠ = > <         H1:H1:  ? μ p  Select an answer < ≠ = >     The test statistic ? z t  =  (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 reject accept  the null hypothesis. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly less than 242 at αα = 0.10, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is less than 240. The data suggest that the populaton mean is significantly less than 242 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is less than 242. The data suggest that the population mean is not significantly less than 242 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean number of eggs consumed by college students per year is less than 242. Interpret the p-value in the context of the study. If the population mean number of eggs consumed by college students per year is 242 and if another 59 college students are surveyed then there would be a 38.47909261% chance that the sample mean for these 59 students surveyed would be less than 240. There is a 38.47909261% chance that the population mean number of eggs consumed by college students per year is less than 242. If the population mean number of eggs consumed by college students per year is 242 and if another 59 students are surveyed then there would be a 38.47909261% chance that the population mean number of eggs consumed by college students per year would be less than 242.  There is a 38.47909261% chance of a Type I error. Interpret the level of significance in the context of the study. There is a 10% chance that you will find the chicken that lays the golden eggs. If the population mean number of eggs consumed by college students per year is 242 and if another 59 college students are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is less than 242. There is a 10% chance that the population mean number of eggs consumed by college students per year is less than 242. If the population population mean number of eggs consumed by college students per year is less than 242 and if another 59 college students are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is equal to 242.

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The mean number of eggs per person eaten in the United States is 242. Do college students eat less eggs than the average American? The 59 college students surveyed averaged 240 eggs per person and their standard deviation was 52.2. What can be concluded at the  αα = 0.10 level of significance?

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

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

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

  1. The test statistic ? z t  =  (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 reject accept  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest that the sample mean is not significantly less than 242 at αα = 0.10, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is less than 240.
    • The data suggest that the populaton mean is significantly less than 242 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is less than 242.
    • The data suggest that the population mean is not significantly less than 242 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean number of eggs consumed by college students per year is less than 242.
  6. Interpret the p-value in the context of the study.
    • If the population mean number of eggs consumed by college students per year is 242 and if another 59 college students are surveyed then there would be a 38.47909261% chance that the sample mean for these 59 students surveyed would be less than 240.
    • There is a 38.47909261% chance that the population mean number of eggs consumed by college students per year is less than 242.
    • If the population mean number of eggs consumed by college students per year is 242 and if another 59 students are surveyed then there would be a 38.47909261% chance that the population mean number of eggs consumed by college students per year would be less than 242.
    •  There is a 38.47909261% chance of a Type I error.
  7. Interpret the level of significance in the context of the study.
    • There is a 10% chance that you will find the chicken that lays the golden eggs.
    • If the population mean number of eggs consumed by college students per year is 242 and if another 59 college students are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is less than 242.
    • There is a 10% chance that the population mean number of eggs consumed by college students per year is less than 242.
    • If the population population mean number of eggs consumed by college students per year is less than 242 and if another 59 college students are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is equal to 242.
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