Search & Filtering
A SHS student conducted a survey to test the claim that "less than half of all the adults are annoyed by the violence on television". Suppose that from a poll of 2,400 surveyed adults, 1,152 indicated their annoyance with television violence. Test this claim using 0.10 level of significance
a. State the null and alternative hypothesis
b. Determine the significance level
c. Select the test statistic to be used
d. Compute the test statistic value
e. Determine the critical value
f. Sketch the rejection region
g. Draw the conclusion
manufacturer does not know the mean and SD of the diameters of ball bearings he is
producing. However, a sieve system rejects all bearings larger than 2.4cm and those under
1.8cm in diameter. Out of 1000 ball bearings 8% are rejected as too small and 5.5% as too
big. What is the mean and standard deviation of the ball bearings produced assuming that
the diameters of ball bearings are normally distributed?
The Guidance Counselor of your school claims that the Grade 11 students spend an average of 11.28 hours in a week doing performance tasks with standard deviation of 1.64. Your adviser thinks that students spend more time in doing performance tasks, so he decided to conduct his own research. He used a sample of 46 Grade 11 students and obtained a mean of 11.83. Is there enough evidence at 0.05 level of significance that the students spend 11.28 hours in a week doing performance tasks?
Consider a population consisting of 2.3.4 and 6 illustrate the situation by doing the following:
1.Compute the mean and variance of the population
2.list all possible samples of size 2
3.construct the sampling distribution of the sample
4. Compute the mean and standard deviation of the sampling distribution of the sample means
5.construct the histogram.
Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be as great as possible.
A population consists of the numbers of 1-5.List all the possible samples of size 3 from this population and construct the sampling distribution of the sample mean.
A rectangular field is to be enclosed and divided into four equal lots by fences parallel to one of the sides. a total of 10,000 meters of fence are available. Find the area of the largest field that can be enclosed.
A population consists of the numbers of 1-5.List all the possible samples of size 3 from this population and construct the sampling distribution of the sample mean.
Samples of 4 cards are drawn from a population of 6 cards numbered 1-6.
Construct a sampling distribution of the sample means and answer the following questions
1. How many sample of size 4 can be drawn from the population?
2.What are the possible means?
3.What is the probability of getting 4 as a mean?
4.What is the probability of getting 3.5 as a mean?
A group of students got the following scores in a test 6,9,12,15, and 21. Consider samples of size 3 that can be drawn from this population.
A. List all the possible samples and the corresponding mea.
B. Construct the sampling distribution of the sample means
