Reduce each ratio to its minimum expression to find if they are equal.
35:28
10:8
Since both ratios reduce to 5:4, they are equivalent.
Another way to check a:b is equivalent to c:d, is that a*d = b*c
In this case, this will be true if 35 times 8 is equal to 10 times 28:
Since both products are equal, then the ratios are equivalent.
Answer:
a) 97.7%
b) Approximately 977 of these observations are less than 33.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
a. Approximately what percentage of the observations are less than 33? (Round your answer to 1 decimal place.)
This is the pvalue of Z when X = 33. So
has a pvalue of 0.977
So 97.7% of the observations are less than 33.
b. Approximately how many observations are less than 33?
97.7% of 1000. So
0.977*100 = 977.
Approximately 977 of these observations are less than 33.