Suppose the average puppy weighs 10 pounds. A sample of 10 puppies yields a sample mean of 13.2 pounds and a sample standard deviation of 2.78 pounds.Assume the population standard deviation is known to be 5.25.You want to test whether the sample mean differs from the population mean of 10 pounds at a 5 percent level of significance using a two-tailed test. State the critical value.

Suppose the average puppy weighs 10 pounds. A sample of 10 puppies yields a sample mean of 13.2 pounds and a sample standard deviation of 2.78 pounds.Assume the population standard deviation is known to be 5.25.You want to test whether the sample mean differs from the population mean of 10 pounds at a 5 percent level of significance using a two-tailed test. Determine whether or not the null hypothesis should be rejected.

You check the weather forecast every morning. On average, it is rainy 20 percent of the time. Consider the next 5 days. What is the probability it will be rainy exactly 1 day?

You check the weather forecast every morning. On average, it is rainy 20 percent of the time. Consider the next 5 days. What is the probability it will be rainy at most 2 days?

Consider the following discrete probability distribution.

X P(X)

00.2

10.3

20.4

30.1

Total1.0

Calculate the mean of this distribution.

Consider the following discrete probability distribution.

X P(X)

00.2

10.3

20.4

30.1

Total1.0

Calculate the varianceof this distribution.

The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 9 minutes and a maximum time of 25 minutes.

What is the mean of this distribution?

The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 9 minutes and a maximum time of 25 minutes.

What is the probability that the employee's next commute to work will require less than 10 minutes?

The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 9 minutes and a maximum time of 25 minutes.

What is the probability that the employee's next commute time will require between 12 minutes and 20 minutes?

Consider the following hypothesis:

Given that calculate the test statistic.

Consider the following hypothesis:

Given that state the critical value.

Consider the following hypothesis:

Given that determine whether or not the null hypothesis should be rejected.

Suppose the average number of complaints received by Christiana Hospital from patients is 7.4 every four weeks. Assume the number of complaints per month follows the Poisson distribution.

What is the probability ofexactly four complaints during the next four weeks?