he federal government is interested in determining whether salary discrimination exists between men and women in the private sector. Suppose a sample of 16 women and 25 men are taken from the population of first-level managers in the private sector. The information is summarized as follows (amounts are in thousands of dollars): Women Men n 16 25 X¯ $26.4 $33.3 S $2.6 $3.2 Test H0 : µ1 = µ2 against H1 : µ1 = µ2 where µ1 and µ2 are the mean salary of first level female and male managers, respectively. Use α = 0.05 and assume equal variances. Test statistic = −2.68 and reject H0 Test statistic = −7.22 and reject H0 Test statistic = −2.68 and fail to reject H0 Test statistic = −7.22 and fail to reject H0
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
- he federal government is interested in determining whether salary discrimination exists between men and women in the private sector. Suppose a sample of 16 women and 25 men are taken from the population of first-level managers in the private sector. The information is summarized as follows (amounts are in thousands of dollars):
|
|
Women |
Men |
|
n |
16 |
25 |
|
X¯ |
$26.4 |
$33.3 |
|
S |
$2.6 |
$3.2 |
Test H0 : µ1 = µ2 against H1 : µ1 = µ2 where µ1 and µ2 are the mean salary of first level female and
male managers, respectively. Use α = 0.05 and assume equal variances.
|
||
|
||
|
Test statistic = −2.68 and fail to reject H0 |
||
|
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images
