The two-sided alternative hypothesis is appropriate in this case, the reason being we are asked "does the data indicate that the average body temperature for healthy humans is different from 98.6◦........?".
The test statistic is:

Using an inverse normal table, and halving

for a two-tailed test, we look up

and find the critical value to be Z = 2.5758.
Comparing the test statistic Z = -5.47 with the rejection region Z < -2.5758 and Z > 2.5758. we find the test statistic lies in the rejection region. Therefore the evidence does not indicate that the average body temperature for healthy humans is different from 98.6◦.
A) The IQR is Q3 - Q1 Q3 is the right edge of the blue box and Q1 is the left edge.
IQR = 25-1 = 24
B) Median values are the line inside the blue boxes:
20-5 = 15
C) the male distribution is asymmetrical and the female distribution is more symmetrical. Because the men are asymmetrical it would be best to describe the distribution using the Median. The women are symmetrical so it would be best to use the mean.
Overall the mean is the most popular/ best way to measure the center.
D) the outlier could be the first day the movie was shown
Given:
Alexis has a rectangular backyard that is 50 yards by 55 yards.
She wants to build a fence that stretches diagonally from one corner to the opposite corner.
To find:
The length of the fencing she needs.
Solution:
We have,
Length = 50 yards
Width = 55 yards
We know that, the diagonal of a rectangle is




On further simplification, we get


Therefore, the length of the required fencing is 74.3 yards.
Answer:
0.0416
Step-by-step explanation:
Given :
Number of balls :
Pink = 8 ; black = 9
Total number of balls = 8+9 = 17
Choosing with replacement :
Probability = required outcome / Total possible outcomes
Required outcome = number of black balls
Total possible outcomes = total number of balls
P(black) = 9/17
Number of picks = 5
Hence, Probability that all 5 picks are black :
P(all black) = 9/17 * 9/17 * 9/17 * 9/17 * 9/17 = 0.0415879
= 0.0416
The correct answer is A because 24-6=18 18/2=9