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A population N = 5 consists of the following values: 11, 13, 15, 17, and 19. Estimate the population mean (u) using a random variable of size n = 3

Do the following, sketch the normal distribution/s given the following conditions.



1.Two normal distributions within the same mean


and standard deviation.


2. three normal distribution in one horizontal axis


with the


same meant but with different standard


deviation.


3. A normal curve with shaded area within a


standard deviation of the mean.



4. A normal curve with a mean, M = 76 and standa


deviation o=1



5. A normal curve with a mean, M=0 and


standard deviation

A man 6 ft. tall walks away from a lamp post 18 ft. high at the rate of 4 ft. per second. How fast does

the shadow of the man lengthen?


A ladder 5 meters long is leaning against the wall. The bottom is initially 3.5 meters away from the

wall. You are pushing it towards the wall at a rate of 0.20 m/s. How fast is the top of the ladder moving

up the wall 12 seconds after you start pushing?


A random sample of 60 Grade 11 students’ ages is obtained to estimate the mean ages of all Grade 11 students. Suppose the sample mean is 17.3 and the population variance is 18,



What is the point estimate of the population parameter?



Find the 95% confidence interval for the population parameter?



Find the 99% confidence interval for the population parameter?



N=10 X= 82.5; s = 3. The parent population is normally distributed. Use the 95% confidence level to find the interval estimate for µ.

The number of inquiries received by a school on administration each day are recorded as: 40, 43, 49, 45, 46, 42, 43. Find the variance in the inquires per day

A researcher wanted to determine whether the average intelligence score for prisoners was different from the average intelligence score for the general population (μ = 100, σ = 15). Thirty-six prisoners on death row were administered an IQ test; the average IQ of the prisoners was 93. Use 0.05 significant level to test the null hypothesis.



The graph of a sinusoidal function has a minimum point at (0,2)

(0,2)

left parenthesis, 0, comma, 2, right parenthesis

 and then has a maximum point at (3\pi,6)

(3π,6)

left parenthesis, 3, pi, comma, 6, right parenthesis

.


Drew burnt 1600 cal Friday playing one hour basketball and canoeing for two hours Saturday he spent two hours playing basketball in three hours canoeing in Byron 2700 cal how many calories did you burn per hour when playing basketball how many calories did you burn for our when canoeing canoeing


June at 60 gallons of punch for a party June carries the punch in two different full coolers the bigger cooler is five times as large as the smaller cooler how many gallons can each cooler hold


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