A researcher selects a sample of 100 people to investigate the relationship between gender (male/female) and registering to vote
1 answer:
Answer:
Answer is 28
Step-by-step explanation:
Given that a researcher selects a sample of 100 people to investigate the relationship between gender (male/female) and registering to vote.
The information given with two variables as gender and another variable as registered or non registered can be tabulated as follows:
Females Males Total
Registered 30 40 70
Non regd. 10 20 30
Total 40 60 100
For chi square test of independence we assumed that the two variables are independent.
Hence expected frequency = row total* column total/grand total
For registered females row total = 40 and column total = 70
So expected frequency for regd females =
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Answer:
4,962 yards.
Step-by-step explanation:
We are given that,
For the first 5 games, Michael threw 1,654 yards.
Since, we see that, the relationship between the yards and the games are directly proportional.
Then for 15 games,
Michael will have thrown for yards i.e. 1654 × 3 = 4,962 yards
Hence, for 15 games, Michael have thrown for 4,962 yards
Answer:
11.51% probability that the mean annual salary of the sample is between $71000 and $73500
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 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.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
In this question, we have that:
What is the probability that the mean annual salary of the sample is between $71000 and $73500?
This is the pvalue of Z when X = 73500 subtracted by the pvalue of Z when X = 71000. So
X = 73500
By the Central Limit Theorem
has a pvalue of 0.1151
X = 71000
has a pvalue of 0.
0.1151 - 0 = 0.1151
11.51% probability that the mean annual salary of the sample is between $71000 and $73500
Answer:
Probability=
Step-by-step explanation:
As it is given that
Probability of toy A is defective is =P(A) =
Probability of toy b is defective if A is defective = P (B)=
WE have to find the P(A n B)
By the law of Probability
P(A n B) = P (A).P(B)
putting the values given to us
P(AnB)= *
Probability=