Two rooms in a house are similar rectangles. Room A is 12 ft by 16 ft. The longer side of Room B is 4 ft shorter than twice the
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This question is incomplete, the complete question;
The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.
The 95% Confidence Interval is ($, $ )
Answer:
at 95%, confidence interval is ( $43312, $54288 )
Step-by-step explanation:
Given the data in the question;
sample size n = 36
mean x' = 48,800
standard deviation σ = 16,800
at 95% confidence level;
∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05 / 2 = 0.025
z critical value, = 1.96
now, confidence interval for population mean is given by the formula
x' ± ( σ/√n )
so we substitute
⇒ 48800 ± 1.96( 16800/√36 )
⇒ 48800 ± 1.96( 2800 )
⇒ 48800 ± 5488
⇒ 48800 - 5488, 48800 + 5488
⇒ ( 43312, 54288 )
Therefore, at 95%, confidence interval is ( $43312, $54288 )
The maximum number of hours that can be allocated in a day is 21
Data given;
- Sale = $3500
- Employee pay = $10.00 per hour
- Percentage allocated to employee = 6% of sales
This is the process of finding a fraction of a value multiplied by 100.
Let's find the actual figure allocated to employee pay.
6% of $3500 is;
The percentage out of sale allocated for employee pay is $210
Now we know the actual amount allocated to employee pay and it is $210.
Divide the amount allocated to employee pay by $10:00 to find the actual hours we can allocate in a day.
The maximum number of hours we can allocate in a day is 21 hours.
Learn more on percentage here;