Question

3. Below represents data on the number of students per hour using a campus computer lab over an eight-hour period on a randomly selected day. 20 24 18 16 16 19 21 23 I The StatCrunch output for a 90% confidence interval is below. Variable Sample Mean Std. Err. DF L. Limit U. Limit varl 19.625 1.0511473 7 17.633519 21.616481 a. Write out the interval and interpret the interval in the context of this problem. Round to 3 decimal places A lab technician read a report that the average number of students using the computer lab per hour was 16. Based on the data above, test this claim b. Write the hypotheses in symbols and in words:

Answer 1

a)

CI (17.6335 , 21.6165)

ONE CAN BE 90% CONFIDENT THAT TRUE MEAN NUMBER OF STUDENTS USING COMPUTER LAB WILL LIE IN THIS INTERVAL

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B)

Ho :   µ = 16
Ha :   µ ╪ 16

C)

Level of Significance ,    α =    0.100

p-Value   =   0.0107
Decision:   p-value≤α, Reject null hypothesis

D)

CONCLUSION : THERE IS ENOUGH EVIDENCE TO SAY TAHT TRUE MEAN IS NOT EQUAL TO 16

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E)

sample std dev ,    s = √(Σ(X- x̅ )²/(n-1) ) =   2.9731
Sample Size ,   n =    8
Sample Mean,    x̅ = ΣX/n =    19.6250
      
degree of freedom=   DF=n-1=   7
      
Standard Error , SE = s/√n =   2.9731/√8=   1.0511

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Please let me know in case of any doubt.

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