Question

The mean number of eggs per person eaten in the United States is 245. Do college students eat a different number of eggs than the average American? The 53 college students surveyed averaged 265 eggs per person and their standard deviation was 61.5. 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 t-test for a population mean
- The null and alternative hypotheses would be:

H0:H0: ? p μ ? < = ≠ >

H1:H1: ? μ p ? > < = ≠

- 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 reject accept fail to reject the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest that the population mean is not
**significantly**different from 245 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 different from 245. - The data suggest that the sample mean is not
**significantly**different from 245 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 different from 265. - The data suggest that the populaton mean is
**significantly**different from 245 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 different from 245.

- The data suggest that the population mean is not
- Interpret the p-value in the context of the study.
- If the population mean number of eggs consumed by college students per year is 245 and if another 53 college students are surveyed then there would be a 2.16632416% chance that the population mean would either be less than 225 or greater than 265.
- There is a 2.16632416% chance of a Type I error.
- If the population mean number of eggs consumed by college students per year is 245 and if another 53 college students are surveyed then there would be a 2.16632416% chance that the sample mean for these 53 students surveyed would either be less than 225 or greater than 265.
- There is a 2.16632416% chance that the population mean number of eggs consumed by college students per year is not equal to 245.

- Interpret the level of significance in the context of the
study.
- If the population mean number of eggs consumed by college students per year is 245 and if another 53 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 different from 245.
- 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 different from 245.
- If the population population mean number of eggs consumed by college students per year is different from 245 and if another 53 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 245.

Answer #1

The average salary for American college graduates is $42,400.
You suspect that the average is less for graduates from your
college. The 59 randomly selected graduates from your college had
an average salary of $41,616 and a standard deviation of $8,550.
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
The null and alternative hypotheses would be:
H0:H0: ?...

The average American consumes 90 liters of alcohol per year.
Does the average college student consume more alcohol per year? A
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standard deviation of 18 liters. What can be concluded at the the
αα = 0.01 level of significance?
For this study, we should use Select an answer z-test for a
population mean t-test for a population mean
The...

The average salary in this city is $47,300. Is the average less
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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: ? μ p ? > = ≠
< ...

The average number of cavities that thirty-year-old Americans
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cavities? The data show the results of a survey of 12
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Assume that the distribution of the population is normal.
4, 5, 6, 6, 8, 6, 7, 4, 8, 5, 4, 7
What can be concluded at the αα = 0.05 level of
significance?
For this study, we should use Select...

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significance?
For this study, we should use Select an answer z-test for a
population mean t-test for a population mean
The null and alternative hypotheses would be:
H0:H0: ? p μ Select an answer = ≤...

1.
The average final exam score for the statistics course is 78%. A
professor wants to see if the average final exam score for students
who are given colored pens on the first day of class is different.
The final exam scores for the 11 randomly selected students who
were given the colored pens are shown below. Assume that the
distribution of the population is normal.
77, 58, 53, 90, 83, 77, 51, 72, 53, 68, 81
What can be...

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within six years. Is this percent larger than for students who play
intramural sports? 148 of the 269 students who played intramural
sports received a degree within six years. What can be concluded at
the level of significance of αα = 0.05?
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:
Ho: ? μ...

You are conducting a study to see if the proportion of voters
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66% at a level of significance of αα = 0.05. According to your
sample, 44 out of 68 potential voters prefer the Democratic
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For this study, we should use Select an answer z-test for a
population proportion t-test for a population mean
The alternative hypothesis would be:
Ha1: ? p μ ? ≠ > =
< (Please enter a decimal)...

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percentage of college students who are volunteers different for
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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: ? p...

12% of all college students volunteer their time. Is the
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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...

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