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SVEN [57.7K]
3 years ago
5

Take apart the number to make a 10. Then subtract

Mathematics
1 answer:
Svetllana [295]3 years ago
4 0

Answer:

Whats the question?

Step-by-step explanation:

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An environmental scientist wants to use a 95% confidence interval to estimate the mean number of hours per day her solar panel r
MissTica

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 1 - \frac{1 - 0.95}{2} = 0.975. 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.

6 0
3 years ago
Find the value of x in the triangle.
Pani-rosa [81]

Answer:

x=63°

Step-by-step explanation:

The sum of interior angles of a triangle is always equal to 180°

180-55-62=63

3 0
2 years ago
Read 2 more answers
A train travels 1/5 of the distance between two sides in 3/4 hours at this rate how many hours will take the train to travel the
AleksAgata [21]

Answer:3 3/4 hour

If 1/5 takes 3/4 hours, then to travel the whole distance, which is one, it will take 3/4 * 5 hours because 1/5 * 5 =  1

6 0
3 years ago
0÷2 answer right now 0÷2= right now ​
77julia77 [94]

0/2=0 because anything divided by zero is zero.

4 0
3 years ago
Read 2 more answers
Which gives 55+100 as a product of gcf and a sum?
defon

Answer:

55+100=155

Step-by-step explanation:

c.5(10+50)

I hope it helped

5 0
2 years ago
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