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A survey of university students was conducted and found that students spend 2 hours per class...

A survey of university students was conducted and found that students spend 2 hours per class hour studying. A Teacher at your school wants to determine whether the time students spend at your school is significantly different from the two hours. A random sample of 15 Statistics Students is carried out and the findings report an average of 1.75 hours with a standard deviation of 0.24 hours. Test the 5% level of significance.

a. Critical value of t = 1.761. Calculated value of t is -4.03

b. Critical value of t is 2.145. Calculated value of t is -4.03

c. Critical value of t is -4.03. Calculated value of t is 2.145

d. Critical value of t is 1.761. Calculated value of t is -1.041

e. The t-test should not be used, rather use the z-test.

f. None of the above.

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Answer #1

H0: = 2

Ha: 2

Test statistics

t = ( - ) / ( S / sqrt(n) )

= ( 1.75 - 2) / (0.24 / sqrt ( 15) )

= -4.03

This is two tailed test,

From T table,

With significance level of 0.05 and df of 14,

t critical value = -2.145 , 2.145

Ans : none of the above.

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