One factor in rating a National Hockey League team is the mean weight of its players. A random sample of players from the Detroit Red Wings was obtained. The weight (in pounds) of each player was carefully measured, and the resulting data have a sample size of 17 with a sample mean of 203 pounds and a sample standard deviation of 10.9 pounds. You can assume that all of the assumptions are met. (1 pt.) a) What are the assumptions that are required to perform inference on this data?

1) Random: A random sample needs to be obtained in order to apply inference for the mean

2) Normality condition: The sampling distribution of needs to be approximately normal. If we use a random sample size higher than 30 we can use the Central Limit theorem to verify this condition.

3) Independence: All the individual observations need to be independent. And we need to satisfy that our sample would be lower than 10% of the real population size.

Step-by-step explanation:

For this case we need three conditions:

1) Random: A random sample needs to be obtained in order to apply inference for the mean

2) Normality condition: The sampling distribution of needs to be approximately normal. If we use a random sample size higher than 30 we can use the Central Limit theorem to verify this condition.

3) Independence: All the individual observations need to be independent. And we need to satisfy that our sample would be lower than 10% of the real population size.

Data given and notation  

represent the sample mean

represent the sample standard deviation  

sample size  

represent the value that we want to test  

represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We can assume the following system of hypothesis.

Null hypothesis:    

Alternative hypothesis :  

The degrees of freedom on this case:

Compute the test statistic

The statistic for this case is given by:  

(1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

daren is correct because