The average weight of a random sample of four infants is 7.2 pounds with sample standard...

The average weight of a random sample of four infants is 7.2 pounds with sample standard deviation of 1.3 pounds.

a)Establish the 90% confidence interval for the population mean.

b)Establish the 99% confidence interval for the population mean.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

In the U.S., newborn babies weight an average of 7.2 pounds (μ). The standard deviation is...

In the U.S., newborn babies weight an average of 7.2 pounds (μ). The standard deviation is 1.22 pounds (σ). The population distribution of birth weights is roughly Normal. You draw a simple random sample of 60 births from the population and find that the sample mean is 7.4 pounds. NOTE: Use the most precise estimate of z or z* you can in these problems as in all your written results. Draw a picture of the distribution, label, and shade as...

A sample of 7 adult elephants had an average weight of 11900 pounds. The standard deviation...

A sample of 7 adult elephants had an average weight of 11900 pounds. The standard deviation for the sample was 24 pounds. What is the 99% confidence interval of the population mean for the weights of adult elephants? Assume that the variable is normally distributed.

A sample of 9 adult elephants has an average weight of 12,500 pounds. The standard deviation...

A sample of 9 adult elephants has an average weight of 12,500 pounds. The standard deviation for the sample was 24 pounds. Find the 99% confidence interval of the population mean for the weight of adult elephants. Assume the variable is normally distributed. Round answer to the nearest whole number.

four squirrels were found to have an average weight of 9.0 ounces with a sample standard...

four squirrels were found to have an average weight of 9.0 ounces with a sample standard deviation is 0.7. Find the 95% confidence interval of the true mean weight.

For an adult male the average weight is 179 pounds and the standard deviation is 29.4...

For an adult male the average weight is 179 pounds and the standard deviation is 29.4 pounds. We can assume that the distribution is Normal (Gaussian). Answer the following questions either via simulations (use 10000 points) or via “rule of thumbs”. I). What is the approximate probability that a randomly picked adult male will weigh more than 180 pounds? Pick the closest answer. (6.66 points) a. About 15% b. About 30% c. About 50% d. About 65% II) What would...

In Louisiana, the average weight of an adult allegator is 790 pounds, with standard deviation of...

In Louisiana, the average weight of an adult allegator is 790 pounds, with standard deviation of 200 pounds. What is the probability that the average wieght of a sample(of adults allegators) of size 100 will be grater than 820 pounds? A.0.06 B.0.07 C.0.93 D.0.90 E.0.05

In a sample of 51 babies, the mean weight is 21 pounds and the standard deviation...

In a sample of 51 babies, the mean weight is 21 pounds and the standard deviation is 4 pounds. Calculate a 95% confidence interval for the true mean weight of babies. Suppose we are interested in testing if the true mean weight of babies is 19.4 vs the alternative that it is not 19.4 with an alpha level of .05. Would this test be significant? Explain your answer. Perform the t test and use a t-table to get the p-value

Babies' birth weight follows a normal law, with an average of 6 pounds and a standard...

Babies' birth weight follows a normal law, with an average of 6 pounds and a standard deviation 1 pound. a) Calculate the probability of a newborn baby weighing more than 5 pounds. b) Out of 50 babies, what is the probability that at least 47 of them weigh more than 5 pounds? c) In order to eradicate obesity, a dictator decides to eliminate 10% of babies at birth, 10% heavier. What is the weight of the largest surviving baby?

11_ The average weight of 40 randomly selected minivans was 4150 pounds. The standard deviation was...

11_ The average weight of 40 randomly selected minivans was 4150 pounds. The standard deviation was 480 pounds. Find the 99% confidence interval of the true mean weight of the minivans. What is the standard error for step1? What is the Z or t score for step 2? What is the confidence interval (Step 3)

A random sample of 90 full-size trucks had a mean weight of 7,785 pounds and a...

A random sample of 90 full-size trucks had a mean weight of 7,785 pounds and a standard deviation of 845.6 pounds. Construct a 95% confidence interval for the population mean (4 Points). Conditions: Work: Interval: Conclusion:

Subjects