Question

In: Statistics and Probability

The heights of 500 female students, half of whom are college students while the other half are second-grade students.

The heights of 500 female students, half of whom are college students while the other half are second-grade students.

Describing Distributions. For each distribution described in Exercises, answer the following questions:

a. How many modes would you expect for the distribution?

b. Would you expect the distribution to be symmetric, left skewed, or right-skewed?

Solutions

Expert Solution

Heights:

The heights of 500 female students half of whom are college students while the other half are second-grade students.

 

a. There are two modes, we expect for this distribution.

  • One mode is for College students height and one mode is for second grade students.

 

b. This distribution is look like symmetric distribution with two mode. Graphs seems look like as below.

 

Symmetric:


a. There are two modes, we expect for this distribution.

  • One mode is for College students height and one mode is for second grade students.

Related Solutions

Consider the approximately normal population of heights of female college students with a mean μ =...
Consider the approximately normal population of heights of female college students with a mean μ = 69.5 inches and a standard deviation σ = 3 inches. A random sample of 36 females is obtained. a. What is the probability that an individual height of a female college student, x, is at least 70 inches? Mark and label the mean μ along with the x value then shade the area defining the probability of interest on the graph A. Mark and...
3. The heights of female students attending a sixth form college have a mean of 168...
3. The heights of female students attending a sixth form college have a mean of 168 cm and standard deviation of 4.5 cm. The heights can be modeled by a normal distribution: a. Find the probability that the height of a randomly selected female student attending this college is less than 172.5 cm? b. Find the probability that the mean height of a random sample of 11 female students from this college exceeds 172 cm?
The distribution of the heights of the first grade students is mound – shaped and symmetric...
The distribution of the heights of the first grade students is mound – shaped and symmetric with the mean height of 140 cm and standard deviation of 5 cm. According Empirical rule What % of heights is between 125 and 155 cm What % of heights is between 135 and 150 cm What % of heights is less than 130 cm What % of heights is less than 130 cm
The heights of female students in a university are approx normally distributed with a mean of...
The heights of female students in a university are approx normally distributed with a mean of 162 cm and a standard dev of 8 cm. Explain your answers. a) Approx 68% of all female students in a university will have heights between ____ cm and ____ cm. b) Heights greater than ____ cm would be considered peculiar.
In a survey of 500 females and 500 male students, 345 and 365 female and male...
In a survey of 500 females and 500 male students, 345 and 365 female and male students respectively, reported that they decided to attend college in order to make more money. Is ther population of female students who decided to attend college in order to make more money less than that of male studenst? Conduct the test with a significance level of 0.05.
The reading speed of second grade students in a large city is approximately​ normal, with a...
The reading speed of second grade students in a large city is approximately​ normal, with a mean of 88 words per minute​ (wpm) and a standard deviation of 10 wpm. Complete parts​ (a) through​ (f). ​(a) What is the probability a randomly selected student in the city will read more than 92 words per​ minute?The probability is ​(Round to four decimal places as​ needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your...
the reading speed of second grade students in a large city is approximately​ normal, with a...
the reading speed of second grade students in a large city is approximately​ normal, with a mean of 89 words per minute​ (wpm) and a standard deviation of 10 wpm. Complete parts​ (a) through​ (f). What is the probability a randomly selected student in the city will read more than 95 words per​ minute?
The reading speed of second grade students in a large city is approximately​ normal, with a...
The reading speed of second grade students in a large city is approximately​ normal, with a mean of 9191 words per minute​ (wpm) and a standard deviation of 10 wpm. Complete parts​ (a) through​ (f). ​(a) What is the probability a randomly selected student in the city will read more than 9595 words per​ minute?The probability is 0.34460.3446. ​(Round to four decimal places as​ needed.) Interpret this probability. Select the correct choice below and fill in the answer box within...
The reading speed of second grade students in a large city is approximately​ normal, with a...
The reading speed of second grade students in a large city is approximately​ normal, with a mean of 92 words per minute​ (wpm) and a standard deviation of 10 wpm. ​(a) What is the probability a randomly selected student in the city will read more than 97 words per​ minute? Interpret this probability. (b) What is the probability that a random sample of 12 second grade students from the city results in a mean reading rate of more than 97...
The reading speed of second grade students in a large city is approximately normal, with a...
The reading speed of second grade students in a large city is approximately normal, with a mean of 89 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). (a) What is the probability a randomly selected student in the city will read more than 94 words per minute? The probability is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT