In a test of the null hypothesis HO: p= Based on these statistics, which of the following conclusions could be drawn? against the alternative hypothesis Ha u> 10, a sample from a normal population produces a mean of 13.4. The z-score for the sample is 2.12 and the p-value is 0.017. A There is reason to conclude that u > 10. B Due to random fluctuation, 48.3 percent of the time a sample produces a mean larger than 10. 1.7 percent of the time, rejecting the alternative hypothesis is in error. 1.7 percent of the time, the mean is above 10. 98.3 percent of the time, the mean is below 10.

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In a test of the null hypothesis Ho: = 10 against the alternative hypothesis Ha:p > 10, a sample from a normal population produces a mean of 13.4. The z-score for the sample is 2.12 and the p-value is 0.017.
Based on these statistics, which of the following conclusions could be drawn?
A
There is reason to conclude that u > 10.
Due to random fluctuation, 48.3 percent of the time a sample produces a mean larger than 10.
C
1.7 percent of the time, rejecting the alternative hypothesis is in error.
D
1.7 percent of the time, the mean is above 10.
E
98.3 percent of the time, the mean is below 10.
Transcribed Image Text:In a test of the null hypothesis Ho: = 10 against the alternative hypothesis Ha:p > 10, a sample from a normal population produces a mean of 13.4. The z-score for the sample is 2.12 and the p-value is 0.017. Based on these statistics, which of the following conclusions could be drawn? A There is reason to conclude that u > 10. Due to random fluctuation, 48.3 percent of the time a sample produces a mean larger than 10. C 1.7 percent of the time, rejecting the alternative hypothesis is in error. D 1.7 percent of the time, the mean is above 10. E 98.3 percent of the time, the mean is below 10.
For a certain brand of tomato seeds, the seed package claims that it takes 87 days after planting for the tomato plants to produce fruit. Sarah, a botanist, wanted to know whether the mean number of days for
the plants to produce fruit where she lives is different from 87 days. She planted 40 seeds and recorded the number of days for each plant to produce fruit. With all conditions for inference met, the hypothesis
test was conducted at the significance level a
0.05, and the test resulted in a p-value of 0.0752.
Sub
Which of the following is a correct conclusion?
Sarah has convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is greater than 87 days.
Sarah has convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is greater than 87 days.
Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is equal to 87 days.
B.
Transcribed Image Text:For a certain brand of tomato seeds, the seed package claims that it takes 87 days after planting for the tomato plants to produce fruit. Sarah, a botanist, wanted to know whether the mean number of days for the plants to produce fruit where she lives is different from 87 days. She planted 40 seeds and recorded the number of days for each plant to produce fruit. With all conditions for inference met, the hypothesis test was conducted at the significance level a 0.05, and the test resulted in a p-value of 0.0752. Sub Which of the following is a correct conclusion? Sarah has convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is greater than 87 days. Sarah has convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is greater than 87 days. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is equal to 87 days. B.
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