On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to
1 answer:
Answer:
The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF
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 = 10 - 1 = 9
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.2622
The margin of error is:
M = T*s = 2.2622*0.3 = 0.68
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 98.44 - 0.68 = 97.76 ºF
The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF
The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF
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<h3>The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000</h3>
<em><u>Solution:</u></em>
<em><u>The expression to Michael earnings is:</u></em>
Where,
b is the base salary, which is $ 900 in this sum
c is the commission rate
Given that commission rate is 5%
s is the sales
Michael must have to earn at least $2500 in a month
Here, at least means, "greater than or equal to" 2500
The inequality is framed as:
base salary + 5 % on sales 2500
Solve the inequality
Thus, minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
we are given
slope is
y-intercept is (0,-3)
now, we can use slope intercept form of equation
where
m is slope
b is y-intercept
now, we can plug these values
we get
now, we have to write it in
Ax+By =C form
so, we will multiply both sides of equation by 3
Subtract both sides by 2x
so,
Answer is