Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
Step-by-step explanation:
Information given
represent the mean height for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
Hypothesis to verify
We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case would be given by:
Answer:
At least 202.44 mm in the top 15%.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
How many yearly mm of rainfall would there be in the top 15%?
At least X mm.
X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.
At least 202.44 mm in the top 15%.
75 extra minutes because $61.20-$49.95=$11.25 and $11.25/$0.15=75.
To calculate the number of shingles, we first calculate for the total area of the roof of Janice's house. From the figure, we can calculate the area of the two shapes: pyramid and a rectangular prism.
A(pyramid) = lw+l√[(w/2)²+h²]+w√[(l/2)²+h²]
A = 208 m²
A(prism) = 2(wl+hl+hw)
A = 293 m²
Total area = 501 m²
Number of shingles she needs = 501 m² / 2.25 m² =<span> 223</span><span>
</span>
Answer:
$4182.7
Step-by-step explanation:= 4000*(1.5%)*3
Year 1= 4000*(100%+1.5%)= 4060
Year 2= 4060*(100%+1.5%)= 4120.9
Year 3= 4120.9*(100%+1.5%)= 4182.7
