Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that 
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So
has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
B) 65.84 add 67.5 and 6.443 and divide sum by 1.123
Answer:
D. The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
Step-by-step explanation:
The treatment group using System A reported a mean of 18.5 lost bags per day. The treatment group using System B reported a mean of 16.6 lost bags per day.
The best conclusion that can be made is - The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
As we know, in statistics, nothing happens by chance. So, this option is correct.
Grocery Store: Farmer's Market
Cost $2.80 $4.20
Weight 8 oz 14 oz
Unit Cost
Cost ÷ Weight $0.35 per oz $0.30 per oz
1 lb = 16 oz 16 oz 16 oz
Cost per pound
Unit Cost * 16oz $5.60 per lb $4.80 per lb
The blueberries in the farmer's market costs less than the blueberries from the grocery store.
One pound of blueberries from the farmer's market is cheaper by $0.80 than the blueberries from the grocery store. ($5.60 - $4.80 = $0.80)
Answer: c)[50,60]
Step-by-step explanation:
The Empirical rule says that , About 68% of the population lies with the one standard deviation from the mean (For normally distribution).
We are given that , The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches.
Then by Empirical rule, about 68% of the heights of students lies between one standard deviation from mean.
i.e. about 68% of the heights of students lies between 
i.e. about 68% of the heights of students lies between 
Here, 
i.e. The required interval that contains the middle 68% of the heights. = [50,60]
Hence, the correct answer is c) (50,60)
