Answer:
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.
The standard deviation is the square root of the variance. So

Then

The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m
The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Num shopping centers (X) :
630
370
616
700
430
558
1200
2976
Sales (Y) :
15.5
7.5
13.9
18.7
8.2
13.2
23.0
87.3
The regression equation obtained using the online regression calculator is :
y = 0.03025X - 4.87014
2.) The slope value, for every unit change in number of shopping centers, the number of sales increases by 0.03025
3.)
The Coefficient of determination (R²) as obtained by the R² value calculator is : 0.9823
4.)
About 98% of variation in number of sales is explained by the regression line
5.)
Correlation Coefficient = 0.9911
H0 : p ≥ 0.99
H1 : p < 0.99
Answer:
volume of given figure is

Step-by-step explanation:
volume = product of all dimensions
- v = 2 × 6 × 14
- v = 168 cubic feet
3264 and 16,415
Step-by-step explanation:
136 x 24= 3264
245 x 67 = 16,415