List all of the prime numbers less than 20 in numerical order

The time to complete an exam is approximately Normal with a mean of 70 minutes and a standard deviation of 10 minutes. Using the

MatroZZZ [7]

Answer:

16% of students will complete the exam in less than 60 minutes

Step-by-step explanation:

The Empirical Rule(68-95-99.7) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 70

Standard deviation = 10

What percentage of students will complete the exam in less than 60 minutes

60 = 70-10

So 60 is one standard deviation below the mean

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean, that is, from 60 to 80 minutes. The other 100-68 = 32% is outside this interval. Since the normal distribution is symmetric, 16% of those are below 60 and 16% of those are above 80.

16% of students will complete the exam in less than 60 minutes

5 0

3 years ago

A container of medication holds 500 mL when full. The pharmacist has used 5/6 of the medication. How many milliliters are still

tankabanditka [31]

Is 5/6 in mL as well?

3 0

3 years ago

Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hi

kenny6666 [7]

Using the z-distribution, we have that:

The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.

The margin of error is of 0.8 in.

The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the sum of all observations divided by the number of observations. Hence:

$\overline{x} = \frac{44.5+43.0+46.6+42.9+43.7+43.9+42.4+43.2+43.1+44.4+46.1+44.7+44.4+43.9+44.7}{15} = 44.1$