Based on the results in the previous question, using an alpha level of 5%, do you have convincing evidence that the radio station is exaggerating about the number of minutes of music they play each hour?
Based on the results in the previous question, using an alpha level of 5%, do you have convincing evidence that the professor's students don't get the required 8 hours of sleep?
A “classic rock” radio station claims to play an average of 50 minutes of music every hour. However, it seems that every time you tune into this station, a commercial is playing. To investigate the station’s claim, you randomly select 12 different hours during the next week and record how many minutes of music the station plays in each of those hours. Here are the data:
48 49 45 51 49 53 48 44 47 50 46 48
You would like to perform a test to see if the average of 50 minutes of music every hour is actually an exaggeration.
Identify the null and alternative hyothesis.
Define the parameter of interest.
A “classic rock” radio station claims to play an average of 50 minutes of music every hour. However, it seems that every time you tune into this station, a commercial is playing. To investigate the station’s claim, you randomly select 12 different hours during the next week and record how many minutes of music the station plays in each of those hours. Here are the data:
48 49 45 51 49 53 48 44 47 50 46 48
You would like to perform a test to see if the average of 50 minutes of music every hour is actually an exaggeration.
Confirm that the conditions for conducting a significance test for a mean have been met:
A professor suspects that students at his school are getting fewer than 8 hours of sleep a night, on average. To test his belief, the professor asks a random sample of 28 students, “How much sleep did you get last night?”
Here are the data (in hours):
9 6 8 6 8 8 6 6.5 6 7 9 8 7 7
4 3 4 5 6 11 6 3 6 6 10 7 4.5 9
The professor wants to perform a test at the α = 0.05 significance level.
Identify the null and alternative hypotheses.
Define the parameter of interest.
A professor suspects that students at his school are getting fewer than 8 hours of sleep a night, on average. To test his belief, the professor asks a random sample of 28 students, “How much sleep did you get last night?”
Here are the data (in hours):
9 6 8 6 8 8 6 6.5 6 7 9 8 7 7
4 3 4 5 6 11 6 3 6 6 10 7 4.5 9
The professor wants to perform a test at the α = 0.05 significance level.
Check that the conditions for performing the test are met.
Five answers please.