Answer:
From the test give in the question it is obvious that there is enough evidence to show that population mean varies for vegetarian and non-vegetarian
The P-value helps affirm the null hypothesis claims,The P-value attains values relatively as large as that which exists in the sample given,if the null hypothesis is right
Step-by-step explanation:
From the question we are told that
Sample mean
Standard deviation
Sample size
Sample mean
Standard deviation
Sample size
Generally this is a two tailed test
therefore
Null hypothesis =
Alternative hypothesis
From the test give in the question it is obvious that there is enough evidence to show that population mean varies for vegetarian and non-vegetarian
The P-value helps affirm the null hypothesis claims,The P-value attains values relatively as large as that which exists in the sample given,if the null hypothesis is right
3 is the deviation of the set of data
Using the binomial distribution, it is found that the probabilities are given as follows:
a) 0.3185 = 31.85%.
b) 0.7998 = 79.98%.
c) 0.5187 = 51.87%.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, the parameters are given as follows:
n = 5, p = 0.51.
Item a:
The probability is P(X = 3), hence:
Item b:
The probability is:
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Then:
So:
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0282 + 0.1470 + 0.3061 + 0.3185 = 0.7998.
Item c:
The probability is:
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0282 + 0.1470 + 0.3061 = 0.4813.
Then:
More can be learned about the binomial distribution at brainly.com/question/24863377
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The difference between 7821 - 4699 = 3122
If you subtract 7821 - 4699 then it would equal 3122
Hope that helps
Answer:
30
Step-by-step explanation:
Ratio of two numbers = 2 : 5
The numbers are 2x , 5x
Larger number = 75
5x = 75
x = 75 ÷ 5
x = 15
Smaller number = 2x
= 2*15
= 30