A manufacturer claims that their highlighters could write continuously for 14 hours. A researcher wanted to find out if the highlighters would last longer than 14 hours. The researcher tested 40 highlighters and recorded the number of continuous hours each highlighter wrote before drying up. The mean was 14.5 hours and the standard deviaton was 1.2 hours. With a significance level of 5%, test the hypothesis that the mean writing time for the highlighters is more than 14 continuous hours.
Find the test statistic (Round all values to three decimal places.)
A.
z2.635
B.
t9.583
C.
t2.635
D.
z9.583
E.
None of the above

OR HOW DO I PUT ON STAT CRUNCH PLEASE

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality