Chris has 96 local and foreign stamps altogether in his collection. The ratio of the number of local stamps to foreign stamps is
1 answer:
Answer:
Chris have 24 local stamps
Step-by-step explanation:
We are given that The ratio of the number of local stamps to foreign stamps is 1 : 3.
Let the ratio be x
Number of local stamps = x
Number of foreign stamps = 3x
Total Number of stamps =x+3x=4x
We are given that Chris has 96 local and foreign stamps altogether in his collection
So, 4x=96
x=24
Hence Chris have 24 local stamps
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Answer:
0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 64.4 inches, standard deviation of 2.91
This means that
Sample of 50 women
This means that
What is the probability that the mean height for the sample is greater than 65 inches?
This is 1 subtracted by the p-value of Z when X = 65. So
By the Central Limit Theorem
has a p-value of 0.9279
1 - 0.9279 = 0.0721
0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.