Question

1. Find the value of z such that 0.09 of the area lies to the right of z. Round your answer to two decimal places.

2.For the given scenario, determine the type of error that was made, if any. (Hint: Begin by determining the null and alternative hypotheses.)

A cell phone company claims only $50 as the mean amount its customers spend on cell phone service per month. One passionate salesperson claims that the mean amount its customers spend on cell phone service per month is less than $50. The passionate salesperson conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the mean amount its customers spend on cell phone service per month is $45. Was an error made? If so, what type?]

Answer 1

To find the value of z such that 0.09 of the area lies to the right of z, we need to use the standard normal distribution table (z-table).

Step-by-step explanation:

To find the value of z such that 0.09 of the area lies to the right of z, we need to use the standard normal distribution table (z-table).

Since we are looking for the area to the right of z, we need to find the area to the left of z and subtract it from 1. This is because the total area under the normal curve is 1.

Let's assume the area to the left of z is 0.91 (1 - 0.09). Using the z-table, we can find the z-score that corresponds to this area. Once we have the z-score, we can convert it back to the original scale to find the value of z.