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Hypothesis Testing

An astronomer is testing the claim that the mean brightness of a certain star is now more than 30 units. She is able to get 6 readings on the star during her experiment as shown in the table. Using α = 0.01, does this indicate a new mean brightness of more than 30?

DATA

Reading Brightness

1 29
2 29
3 29
4 31
5 32
6 34

Assume that such readings are normally distributed.

PS: PLEASE SHOW ALL WORK AND EXPLAIN IN BASIC, BASIC TERMS. ALSO, I REQUEST FOR THE SAME TA (CHANGPING WANG, MA)

Sorry I 'M NOT SURE IF THIS IS A TWO-SAMPLE t TEST!

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Solution Summary

An astronomer is testing the claim that the mean brightness of a certain star is now more than 30 units. She is able to get 6 readings on the star during her experiment as shown in the table. Using α = 0.01, does this indicate a new mean brightness of more than 30?

DATA

Reading Brightness

1 29
2 29
3 29
4 31
5 32
6 34

Assume that such readings are normally distributed.

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