(a) Based on the above data structure, we should use a ? (b) Let Xcafe denote the time it takes to complete each assignment in the cafe., and Xibrary be the time it takes to complete each assignment in the library. Choose the correct statistical hypotheses. cafe-library <0 HA HA cafe-library <0 = Hlibrary, HA Heafe library A. Ho B. Ho cafe-library=0, cafe-library=0, C. Ho cafe D. Ho cafe = Hlibrary, HA cafe library E. Ho cafe-library>0, HA cafe-library <0 F. Ho cafe-library=0, HA cafe-library #0 G. Ho cafe library, HA cafe library H. Ho cafe-library=0 HA cafe-library> 0 (c) Carry out the appropriate statistical test and find the Test Statistic and P-value. Test Statistic= (use three decimals) Complete the interpretation and compute the P-value. Assuming Ho is ? the probability of ? null hypothesis is (use three decimals). (d) Based on these samples, at the 5% level of significance, we can conclude that the ? ? than the ? completing time of the assignments in the busy cafe completing time of the assignments in the quiet library.
Please help me answer this following question on statistics
The CSV data is below:
"","cafe","library"
"A",85,85
"B",64,61
"C",180,179
"D",136,135
"E",152,152
"F",174,169
"G",145,145
"H",87,86
"I",121,121
"J",149,146
"K",140,136
"L",159,159
"M",98,96
"N",130,130
"O",56,52
"P",140,141
"Q",76,78
"R",150,148
"S",133,132
"T",125,122
"U",123,122
"V",85,84
"W",84,85
"X",94,96
"Y",156,154
(a) Based on the above data structure, we should use a (2-sample T test (pooled variance)/Paired T (Matched Pairs) Test/2-sample T test (unequal variance)/Leven's Test.)
(c) Carry out the appropriate statistical test and find the Test Statistic and P-value.
Test Statistic= (use three decimals)
Complete the interpretation and compute the P−value.
Assuming H0 is (false/uncertain/true), the probability of (observing stronger evidence to support the rejecting the/failing to reject the/observing stronger evidence against the) null hypothesis is ___ (use three decimals).
(d) Based on these samples, at the 5% level of significance, we can conclude that the (average/
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