Sample hypothesis test for mean


Assignment:

Q1: ONE SAMPLE HYPOTHESIS TEST FOR MEAN: A bowler who has averaged 196 pins in the past year is asked to experiment with a ball made of a new kind of material. If he rolls 25 games with the new ball, averaging 204 pins with a standard deviation of 24.9, can one conclude at a level of significance of .01 that the new ball has improved his game?

a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED
b) P-value = ________________
c) REJECT THE NULL or DO NOT REJECT THE NULL?
d) Can we conclude the ball improved his game? YES or NO

Q2: ONE SAMPLE HYPOTHESIS TEST FOR PROPORTION: The Webster University librarian believes that more than 60% of the books checked out by students was fictional material. In a random sample of 1000 students who checked books out in the last year, 628 checked out fictional material. What can one conclude about the librarian's hypothesis at a level of significance of .05?

a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED
b) P-value = ________________
c) REJECT THE NULL or DO NOT REJECT THE NULL?
d) Can we conclude the librarian's claim is correct? YES or NO

Q3: TWO SAMPLE HYPOTHESIS TEST FOR MEAN - INDEPENDENT SAMPLES: Eight college students were randomly divided into 2 groups of 4 each to test whether background music reduces studying capacity. Each person was tasked with memorizing a list of 20 words. Group 1 had music playing through earphones they were wearing. Group 2 was not distracted. The following are the number of words correctly remembered by each subject. Test whether the music reduces studying capacity at a .05 level of significance.

Group 1 -- DISTRACTED Group 2 - NOT DISTRACTED
Sample mean = 7
Sample size = 4
Sample std.dev. = 2.5 Sample mean = 14
Sample size = 4
Sample std.dev. = 3.5

a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED
b) P-value = ________________
c) REJECT THE NULL or DO NOT REJECT THE NULL?
d) Can we conclude that music reduces studying capacity? YES or NO

Attachment:- Regression.rar

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Basic Statistics: Sample hypothesis test for mean
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