Standard Deviation and High School Seniors

Topics: Standard deviation, Variance, Arithmetic mean Pages: 6 (1239 words) Published: February 25, 2013
Part 1 of 1 - |

Question 1 of 10| 1.0 Points|
Consider the following scenario in answering questions 1 through 4.

Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

State the null and alternative hypotheses. |
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| A. H0:  = .79, H1:  > .79| |
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| B. H0: p = .79, H1: p ≠ .79| |
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| C. H0: p ≤ .79, H1: p > .79| |
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| D. H0:    = .79, H1:  > .79| |
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Question 2 of 10| 1.0 Points|
Consider the following scenario in answering questions 1 through 4.  Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

Compute the z or t value of the sample test statistic.   | |
| A. z = 0.69 | |
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| B. t = 1.645 | |
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| C. z = 1.96 | |
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| D. z = 0.62| |
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Question 3 of 10| 1.0 Points|
Consider the following scenario in answering questions 1 through 4.  Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

What is your conclusion? |
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| A. Do not reject H0. There is not enough evidence to support the claim that the proportion of students planning to go to college is greater than .79.| | |
| B. Reject H0. There is enough evidence to support the claim that the proportion of students planning to go to college is now greater than .79.| | |
| C. Cannot determine | |
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| D. More seniors are going to college| |
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Question 4 of 10| 1.0 Points|
Consider the following scenario in answering questions 1 through 4.  Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

What is the p-value associated with your test of hypothesis? | |
| A. 0.7563| |
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| B. 0.6874| |
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| C. 0.4874| |
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| D. 0.2437| |
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Question 5 of 10| 1.0 Points|
Consider the following scenario in answering questions 5 through 7. In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.

State the null and alternative hypotheses. |
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| A. H0:  = 75, H1:  ≠ 75| |
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| B. H0:   75, H1:  > 75| |
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| C. H0:   75, H1:  < 75| |
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| D. H0: = 75, H1:  > 75| |
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Question 6 of 10| 1.0 Points|
Consider the following scenario in answering questions 5 through 7. In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist...
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