Question

The average test score for the statistics course is 74%. A professor wants to see if the average test score for students who are given colored pens on the first day of class is higher. The test scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal.

81, 61, 86, 63, 74, 91, 62, 70, 80, 94, 70, 87

What can be concluded at the the α = 0.05 level of significance level of significance?

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

H0: μ or p? ≠ > < =?

H1: p or μ? < ≠ = >?

- The test statistic? t or z = ____ (please show your answer to 3 decimal places.)
- The p-value = _____ (Please show your answer to 4 decimal places.)
- The p-value is? > or ≤ α
- Based on this, we should: fail to reject, reject, or accept the null hypothesis?
- Thus, the final conclusion is that ...
- The data suggest that the population mean test score for
students who are given colored pens at the beginning of class is
not
**significantly**higher than 74 at α = 0.05, so there is statistically insignificant evidence to conclude that the population mean test score for students who are given colored pens at the beginning of class is higher than 74. - The data suggest the population mean is not
**significantly**higher than 74 at α = 0.05, so there is statistically insignificant evidence to conclude that the population mean test score for students who are given colored pens at the beginning of class is equal to 74. - The data suggest the populaton mean is
**significantly**higher than 74 at α = 0.05, so there is statistically significant evidence to conclude that the population mean test score for students who are given colored pens at the beginning of class is higher than 74.

- The data suggest that the population mean test score for
students who are given colored pens at the beginning of class is
not

Answer #1

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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8
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For this study, we should use Select an answer t-test for a
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The null and alternative hypotheses would be:
H0: ? μ p ? > = ≠
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The null and alternative hypotheses would be: H 0 : p = (please
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1.
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For this study, we should use
The null and alternative hypotheses would be:
H0:
(please enter a decimal)
H1:
(Please enter a decimal)
The test statistic
The p-value = (Please show your answer to 3 decimal
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The p-value...

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