John Maynord pays a $566.00 annual insurance premium. This represents 40% of the total premium. The rest of the premium is paid
2 answers:
Answer:
A. 60%
B. $1415
C. $849.
Step-by-step explanation:
We have been given that John Maynord pays a $566.00 annual insurance premium. This represents 40% of the total premium. The rest of the premium is paid by his employer.
A. Since John pays 40% of his premium and rest of the premium is paid by his employer. This means that his employer pays 60% (100-40) of the premium, therefore, the company's percentage will be 60%.
B. Let x be the total amount of the premium.
As 40% of the premium is $566, so we need to find x such that 40% of x is $566.
We can represent this information in an equation as:
Therefore, the total amount of premium is $1415.
C. As company pays 60% of premium, so to find the company's payment we will find 60% of $1415.
Therefore, the company's payment is $849.
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Answer:
a) The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.
b) The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.
Step-by-step explanation:
We have the standard deviation for the sample. So we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 48 - 1 = 47
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 47 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.0117
The margin of error is:
M = T*s = 2.0117*2.3 = 4.6
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.1 - 4.6 = 2.5 hours of sunlight per day
The upper end of the interval is the sample mean added to M. So it is 7.1 + 4.6 = 11.7 hours of sunlight per day
a) Compute the 95% confidence interval for the mean.
The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.
b) Explain your confidence interval from part (a) in context.
The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.