Jan wants to save a $2000 gift from her grandparents, and add $50 per month as emergency funds. She has narrowed her search for
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We are given ratio 456:8.
The given ratio can be written in fraction form as
In order to find the rate, we need to divide 456 by 8, because it would give the unit value.
When we divide 456 by 8, we first take multiple of 8 closer to the number 45.
8*6=48 but it's greater than 45, so we would take 8*5 =40.
Subtracting 40 from 45, we get 5.
Getting 6 down, we get 56. Take multiple of 8 upto 56.
8*7= 56.
56 -56=0.
So, on dividing 456 by 8 we got 57.
Therefore, rate is 57 per unit.
Answer:
Therefore, the sampling distribution of is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.
The 95% interval estimate of the population mean is
LCL = 7.431 hours to UCL = 10.569 hours
Step-by-step explanation:
Let X be the number of hours a legal professional works on a typical workday. Imagine that X is normally distributed with a known standard deviation of 12.6.
The population standard deviation is
A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.
The sample size is
The sample mean is
Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.
The population mean would be the same as the sample mean that is
The sample standard deviation would be
Where is the population standard deviation and n is the sample size.
Therefore, the sampling distribution of is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.
The population mean confidence interval is given by
Where the margin of error is given by
Where n is the sampling size, s is the sample standard deviation and is the t-score corresponding to a 95% confidence level.
The t-score corresponding to a 95% confidence level is
Significance level = α = 1 - 0.95 = 0.05/2 = 0.025
Degree of freedom = n - 1 = 250 - 1 = 249
From the t-table at α = 0.025 and DoF = 249
t-score = 1.9695
So the required 95% confidence interval is
The 95% interval estimate of the population mean is
LCL = 7.431 hours to UCL = 10.569 hours