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The length of pregnancies are normally distributed with a mean of 260 days and standard deviation of 12 days. If 30 women are randomly selected, find the probability that lengths of pregnancy have a mean that is less than 255 days.
What I Know
Before you proceed and explore on computing probabilities under the normal
curve let us see how much you know before we tackle the lesson. Below is a 5-lem
true or false test Determine whether the statement is true or false Wanite Tithe
statement is true and Fit false on the blank provided before each number
7. Probability value is a number from 0 to 1
2. Probability value is a number from - 1 to 1
3. Finding the area of a region is the same as finding the probability
associated with that region.
4. The probability that the z-score falls at most = -1 is equal to the
probability of that the Z-score falis less than z = -1
6. It is possible to have a negative probability
You want to determine the opinion of students in New York University about the new platform used in learning this pandemic. You wanted to use stratified sampling in getting responses from a sample of 500 students. Given the following data, identify how many samples are there in each grade level.
Grade 7: 1,557
Grade 8: 1, 209
Grade 9: 1,054
Grade 10: 1, 988
Grade 11:1, 456
Grade 12: 1,764
A population consists of the five numbers 2, 3, 6, 8, and 11. Consider samples of size 2 that can be drawn from this population. List all the possible samples and the corresponding mean. Construct also the sampling distribution of the the sample means.
In a Math test, the mean score is 48 and the standard deviation is 7. Assuming normality, what is probability that a score picked at random will lie above score 55?
Suppose the mean amount of cholesterol in eggs labeled “large” is 186 milligrams, with standard deviation 7 milligrams. Find the probability that the mean amount of cholesterol in a sample of 144 eggs will be within 1.5 milligrams of the population mean.
Samples of two cards are drawn at random from a population of 6 cards numbered from 1 to 6.
A. How many possible samples can be drawn?
B. Construct the sampling distribution of sample means.
Given that A = 2i + 3j - k, B = i - j +2k and C = 3i + 4j + k
a)find the unit vector along the direction of nA, for n<0
b) find the length of the projection of vector A on vector C
c)find the length of projection of vector C and vector A
d) find the sine of the angle between vector A and vector C
Directions: Read and analyze the given problems below. Write your solutions and final answer on a separate sheet of paper. 1. ILAW Manufacturing company produces bulbs that last a mean of 900 hours with a standard deviation of 110 What is the probability that the mean lifetime of a random sample of 15 of these bulbs is less than 850 hours?
SOLUTION:
A sample of 60 Grade 9 students' ages was obtained to estimate the mean age of all Grade 9 students.
X = 15.3 years and the population variance is 16.
a. What is the point estimate for u.?
b. Find the 95% confidence interval for u?
c. Find the 99% confidence interval for u?
