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Suppose that we will take a random sample of size n from a population having mean u and standard deviation o. For each of
the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean X:
a. μ = 10, o=2, n = 25
b. μ=500, o=.5, n = 100
C. μ=3, o =., n=4
d. μ= 100, o=1, n = 1,600
What will I do here if the mean and stdv is already given? TT sorry I am confused
If Scores are normally distributed with a mean of 30 and a standard deviation of 5. What percent score is.
a.) Equal or greater than 30?
b.) Equal or greater than 37?
c.) From 28 to 34?
The moment generating function of a probability distribution is given by
Mx(t) = (1 − t/μ)−1, μ > t.
Find the moment generating function of Y = 3x − 5.
The average height of 12 children is 124.7 with a standard deviation of 7.5. Assuming
that the heights are normally distributed, what percent of the students have a height of
132.2 and longer?
X-N(45, variance) and p(x>51)=0.288 find standard deviation
1. The scores of 9 students in 6 quizzes are: 78, 85, 82, 84, 72, 75, 87, 95 and 90. Find the sample mean and standard deviation. Construct the 99% estimate interval for the 6 scores.
2. The scores of 8 students in 7 quizzes are: 80, 88, 79, 96, 86, 93, 98 and 73. Find the sample mean and standard deviation. Construct the 90% estimate interval for the 7 scores.
3. The scores of 6 students in 4 quizzes are: 88, 81, 76, 96, 80 and 92. Find the sample mean and standard deviation. Construct the 95% estimate interval for the 4 scores.
A training program was introduced to employees to improve their competencies in handling clients. An experimental group was provided with the said program while the control group did not. Test @ .05 level of significance if the training program was effective or not.
Competency Score (Control Group)
2
3
2
3
3
1
2
3
2
2
Competency Score (Experimental Group)
3
5
5
4
5
5
4
4
5
5
Assuming that the samples come from normal distributions, find the margin of error E given the following.
2. n=150, x-=98, s=9.90, 95% confidence.
3. n=350, x-=125, s=11.18, 99% confidence.
4. n=500, x-=236, s=15.36, 90% confidence.
5. n=785, x-=459, s=21.42, 99% confidence.
For the past 8 weeks of operation the ABC orange drinker's company recorded the following consumption of nitric acid in hundred liters 18,15,13,17,12,11,13,15,12,20,10,16 compute for the value of upper quartile 5th decipe and 35th percentile
Members of the urban poor receive an average of ₱110 per day with a standard deviation of ₱20. If a random sample of 25 people is taken, what is the approximate mean of the sampling distribution?
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