QUESTIONS

1- If the population mean is 60 and the population standard deviation is 9, what is the z value for 61? Round to three decimal places.

2- What is the Excel function used to find the area from the left side of a standard normal graph to the Z value?

3- Kyoko gave Misa a box of marbles for her birthday. If the average number of marbles in the brand that Kyoko gave to Misa is 75 with a standard deviation of 4, what is the probability that Misa received more than 77 marbles?

4- Kyoko gave Misa a box of marbles for her birthday. If the average number of marbles in the brand that Kyoko gave to Misa is 75 with a standard deviation of 4, what is the probability that Misa received less than 79 marbles?

5- Kyoko gave Misa a box of marbles for her birthday. If the average number of marbles in the brand that Kyoko gave to Misa is 75 with a standard deviation of 4, what is the probability that Misa received more than 78 marbles or less than 74 marbles?

Question 5 options:

6- Kyoko gave Misa a box of marbles for her birthday. If the average number of marbles in the brand that Kyoko gave to Misa is 75 with a standard deviation of 4, what is the approximate probability that Misa received between 71 and 79 marbles?

7- A pizza delivery vendor has a goal of delivering all orders within 50 minutes. A sample was taken and found a mean of 40 minutes and a sample standard deviation of 6 minutes.

Assuming the distribution is normal, what percent of the population did not meet the goal of 50 minutes?

8- A company sampled the driving distance of employees from their homes to the office. The sample found a mean of 35 minutes with a standard deviation of 20 minutes.

What percent of the employees (the entire population) drive more than one hour (60 minutes)?

9- A fast food restaurant is trying to lure customers to wait in line even if the line is long by offering a 50% discount if you wait more than a specified number of minutes.

A sample found that customers waited a mean time of 12 minutes with s sample standard deviation of 3 minutes.

If they want to set the specified number of minutes such that only 4% of the population will wait more than that number, what number should they set it to (round to a whole number).

10- A survey of 123 houses in a neighborhood found that 0.3 of them have a basement.

What is the standard deviation of the sampling distribution?

Use three decimal digits.

11- A company is interested in how many miles their employees drive to the office.

A sample of 170 employees found a mean of 38 minutes and a sample standard deviation of 11 minutes.

What is the standard error of the mean of the sampling distribution?

Use three decimal digits.