The average number of milligrams (mg) of cholesterol in a cup of certain brand of ice cream is 660 mg, and the standard deviation is 35 mg. assume the variable is normally distrubuted.
If a sample of 10 cups of ice cream is selected, what is the probability that the mean of the sample will be larger than 670 mg
Find the corresponding area between 𝑧 = 0 and each of the following.
1. z = 0.85
2. z = 1.27
3. z = 2.86
4. z = −1.05
5. z = −2.96
In a certain population,it is claimed that the mean number of years of education is 13.3,while the standard deviation is known to be 2.7 years.A random sample of 70 people is drawn from this population,and the sample mean is 13.02 years.If the level of significance is set to a=0.05,is there enough evidence to show that the claim is incorrect?
A telecommunications company claims that households receive an average of 45 telephone calls per month.To test the claim at a= 0.10,a researcher surveyed 35 households and found out that the average number of calls was 40.8.Is there enough evidence to say that the company's claim is incorrect if the population standard deviation is known to be 3.2 calls?
Make a study about how many sheets of paper you consumed weekly in answering your self learning modules.Record the quantity (total number of sheets) per subject then construct a probability distribution.Compute the mean, variance, and the standard deviation of the probability distibution you made.Interpret the result then find out how many weeks you will consume 50 sheets of pad paper
Consider all samples of size 5 from this population.
3,5,9,11,12,15,26
1. Compute the mean and the standard deviation of the population.
2. List all samples of size 5 and compute the mean for each sample.
3. Construct the sampling distribution of the sample means.
4. Calculate the mean of the sampling distribution of the sample means.
Compare this to mean of the population.
5. Calculate the standard deviation of the sampling distribution of the
sample means . Compare this to the standard deviation of the
population.
The average cholesterol content of a certain duck eggs is 210 milligrams, and the standard deviation is 16 milligrams. Assume the variable is normally distributed.
If a single egg is selected at random, what is the probability (in decimal) that the cholesterol content will be greater than 205 milligrams?
Let D represent the defective cell phone and N represent the non defective cell phone. If we let X be the random variable representing the number of defective cell phones, can you show the values of the random variable X? Complete the table below to show to show the values of the random variable.
State the null hypothesis and the alternative hypothesis in (a) words and in
(b) symbols for each of the following.
a. A librarian of a school claims that all their grade 8 students read an
average of 10 storybooks a month with a standard deviation of 2 books.
A random sample of grade 8 students read an average 12 books a month
and a standard deviation of 1 book. The confidence statement is 95%.
b. According to a factory employer, the mean working time of workers in
the factory is 6 hours with a standard deviation of 0.5 hours. A
researcher interviewed 50% of the employees and found out that their
mean working time is 8 hours with a standard deviation of 1 hour. The a
level is 0.05.