a radio station claims that the amount of advertising each hour has a mean of 12 minutes and a standard deviation of 1.5 minutes. you listen to the radio station for 1 hour and observe that the amount of advertising time is 5 minutes. calculate the z-score for this amount of advertising time. z

Question

16-12-2022
Mathematics

Answered

a radio station claims that the amount of advertising each hour has a mean of 12 minutes and a standard deviation of 1.5 minutes. you listen to the radio station for 1 hour and observe that the amount of advertising time is 5 minutes. calculate the z-score for this amount of advertising time. z

Answer :

Other Questions

respirometers were set up that contained yeast and 2% glucose solution. each respirometer was placed at a different temperature. the height of the bubble contai

*5. give the percent of the area under the normal curve represented by the shaded region. a normal distribution has a mean of 28 and a standard deviation of 3.

medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established tw

You are deciding whether to light a new factory using bulb a, bulb b, or bulb c.which bulb would be better to use on the factory floor?which bulb would be bette

A bottle of water is advertised as containing 1 liter of water. however, after testing a few hundred bottles, you find the average amount of water is normally d

the length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 4.5minutes and a sta

a physical fitness association is including the mile run in its high school fitness test. the time for this event is known to possess a normal distribution with

daily rainfall in centimeters was recorded over a 414141-year period in turramurra. for each year, the day with the most rain in centimeters was plotted above a

the population standard deviation for the temperature of beers found in scooter's tavern is 0.62 degrees. if we want to be 99% confident that the sample mean be

Yogeshkumari Yogeshkumari · Answer 1 · 2022-12-24T00:45:49-05:00

The z-score for 11 minutes of advertising time is approximately -0.667

Here we have given that a radio station claims that the amount of advertising each hour has a mean of 12 minutes and a standard deviation of 1.5 minutes. you listen to the radio station for 1 hour and observe that the amount of advertising time is 5 minutes.

And we need to calculate the z-score for this amount of advertising time.

While we looking into the given question, we have identified that Z-scores measure the distance of any data point from the mean in units of standard deviations and are useful because they allow us to compare the relative positions of data values in different samples.

Here the z-score for any single data value can be found by the formula:

z = (data value- mean) / standard deviation

Here from the information given we know:

Data value = 11 minutes

Mean = 12 minutes

Standard deviation = 1.5 minutes

When we apply the values on the formula then we get,

=> z = (11 - 12) / 1.5 = -0.667

To know more about z - score here.

https://brainly.com/question/15016913

#SPJ4