For this case, the first thing to do is define variables.
We have then:
We write now the system of equations:
Then rewriting the equations we have:
Then, substituting values we have:
Finally:
Answer:
19 nickels
14 dimes
7 quarters
Answer:
1. The required information are
The average annual bonuses, received by employees from company A
The average annual bonuses, received by employees from company B
The standard deviation, σ₁, of the average annual bonuses for employees from company A
The standard deviation, σ₂, of the average annual bonuses for employees from company A
The number of employees in company A, n₁
The number of employees in company B, n₂
2. The null hypothesis is H₀: -
≤ 100
The alternative hypothesis is Hₐ: -
> 100
Step-by-step explanation:
1. The required information are
The average annual bonuses, received by employees from company A
The average annual bonuses, received by employees from company B
The standard deviation, σ₁, of the average annual bonuses for employees from company A
The standard deviation, σ₂, of the average annual bonuses for employees from company A
The number of employees in company A, n₁
The number of employees in company B, n₂
2. The null hypothesis is H₀: -
≤ 100
The alternative hypothesis is Hₐ: -
> 100
The z value for the hypothesis testing of the difference between two means is given as follows;
At 0.5 level of significance, the critical = ± 0
The rejection region is z > and z < -
Therefore, the value of z obtained from the relation above more than or less than 0, we reject the null hypothesis, and we fail to reject the alternative hypothesis.