(1 point) exam for is to determine a newly table below a conducted the if Use AB

Question

(1 point) exam for is to determine a newly table below a conducted the if Use ABCDEFG HOJ is Ten text book more is designed statistical level who used the material (a) What software) than old kind test the new the A. of should to the that do Their The score the test better mean B. Two-Tailed be claim people with new the It used? the edton Assume (b) does not matter thestandard is 105 (Note You wish use may test deviation The statistic is (c) The P to alue is 08/8/? (d there (rounded to decimals) Is sufficient 2 B. Yos evidence support claim that to the (e) people better 75 this exam? Construct do than on a 99% confidence int for the mean score for students the new text using Note: you can earn partial o edr Preview My on oroolem Answers thos You have attempted Submit Answers overall this problem rimes score 2

Explanation / Answer

(a) One-tailed test

(b)

Data:     

n = 10    

= 75    

s = 10.11    

x-bar = 82.6    

Hypotheses:     

Ho: 75    

Ha: > 75    

Decision Rule:     

= 0.01    

Degrees of freedom = 10 - 1 = 9   

Critical t- score = 2.821437921    

Reject Ho if t > 2.821437921    

Test Statistic:     

SE = s/n = 10.11/10 = 3.197062714   

t = (x-bar - )/SE = (82.6 - 75)/3.19706271443023 = 2.37718202   

(c) p- value = 0.020709278    

(d) Decision (in terms of the hypotheses):     

Since 2.37718202 > 2.821437921 we reject Ho and accept Ha. There is sufficient evidence to support the claim.

(e)

n = 10     

x-bar = 82.6     

s = 10.11     

% = 99     

Standard Error, SE = s/n =    10.11/10 = 3.197062714

Degrees of freedom = n - 1 =   10 -1 = 9   

t- score = 3.249835541     

Width of the confidence interval = t * SE =     3.24983554112748 * 3.19706271443023 = 10.38992804

Lower Limit of the confidence interval = x-bar - width =      82.6 - 10.3899280365689 = 72.21007196

Upper Limit of the confidence interval = x-bar + width =      82.6 + 10.3899280365689 = 92.98992804

The 99% confidence interval is [72.21, 92.99]

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