Answer:
Step-by-step explanation:
From the attached photo
mean = 15.76
Standard deviation = 1.66
c) We want to determine a 90% confidence interval for the mean growth of pea plants
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
15.76 ± 1.645 × 1.66/√7
= 15.76 ± 1.645 × 0.63
= 15.76 ± 1.04
The lower end of the confidence interval is 15.76 - 1.04 =14.72
The upper end of the confidence interval is 15.76 + 1.04 =16.8
When finding the area of a rectangle, you do area=length*width
length= 3
width= 1/4
a= 1/4*3
a=3/4 square feet
2 hole pizzas equal 16 because 1 pizza has 8 slices so make 1/4 a decimal which is 4 4/16 equals 4 so for 4 friends 1/4 is left and do the same to the 21/3 which equals 7 so 7 +4 = half the amount to fead the friends
Answer:
Top 10%: 5.35 millimeters
Bottom 10%: 5.17 millimeters
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Top 10%
X when Z has a pvalue of 1-0.1 = 0.9. So X when Z = 1.28.




Bottom 10%
X when Z has a pvalue of 0.1. So X when Z = -1.28



