Michael and Mindy are working on a project about names. Using a phone book, Michael randomly selected ten people and recorded ho
w many letters their first names had. Then, he found the median number of letters. In all, he took 100 such samples. Mindy did the same with last names. The results are in the box plots below. Which statement is most accurate?
A. About 75% of the time, the median number of letters from the samples of first names was greater than or equal to 5. About the same percentage of the time, the median number of letters from the samples of last names was less than or equal to 5.
B. About 75% of the time, the median number of letters from the samples of first names was less than or equal to 6. About the same percentage of the time, the median number of letters from the samples of last names was greater than or equal to 6.
C. About 50% of the first names that were selected had either 5 or 6 letters. About the same percentage of last names that were selected had either 6 or 7 letters.
D. About 25% of the first names that were selected had fewer than 5 letters, while all of the last names that were selected had at least 5 letters.
A. About 75% of the time, the median number of letters from the samples of first names was greater than or equal to 5. About the same percentage of the time, the median number of letters from the samples of last names was less than or equal to 5.
B. About 75% of the time, the median number of letters from the samples of first names was less than or equal to 6. About the same percentage of the time, the median number of letters from the samples of last names was greater than or equal to 6.
C. About 50% of the first names that were selected had either 5 or 6 letters. About the same percentage of last names that were selected had either 6 or 7 letters.
D. About 25% of the first names that were selected had fewer than 5 letters, while all of the last names that were selected had at least 5 letters.
1 answer:
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Supposing that the stock increases in 37 days, the 95% confidence interval for the proportion of days JMJ stock increases is: (0.484, 0.7292)
- The lower bound is of 0.484.
- The upper bound is of 0.7292.
- The interpretation is that we are <u>95% sure that the true proportion</u> of all days in which the JMJ stock increases <u>is between 0.484 and 0.7292.</u>
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
Supposing that it increases on 37 out of 61 days:
95% confidence level
So , z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of days JMJ stock increases is (0.484, 0.7292), in which 0.484 is the lower bound and 0.7292 is the upper bound.
The interpretation is that we are <u>95% sure that the true proportion</u> of all days in which the JMJ stock increases <u>is between 0.484 and 0.7292.</u>
A similar problem is given at brainly.com/question/16807970