? coastdistrict.instructure.com Topic: You believe the population of difference

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? coastdistrict.instructure.com Topic: You believe the population of difference soores is normally distributed, but you do not know the standerd deviation. You obtain the following sample of dats 423 49.6 68.6 71.5 563 482 40152.4 9.8 49.7 49.5 38.3 40.7 42.9 45.4 3361.9 45.7 23.6 52 24.5 18.8 40.6 54.7 5 59.7 37.838.1 42.3 15.4 2.6 508 429223 508 42.2 50 22.8 What is the test statistic for this sample? test statis Repent nswer Bcurate to 4 decimal places) for this sample? (Report answer accurate to 4 decimal places.) What is the P-value- less than (or equal to) a ?greater than ? This test statistic leads to a decision to reject the null accept the ll :0???? to tuject the null ch the final conclusion is There is sufficient evidence so warran nejection of the daim thait the mean differcece of pod es from pre-test is not equal to 0 There is not sufficient evidence to warant rejection of the claire that the tmean difference of post tet fromm pes-test is tot squal to 0. The sample data support the claim that the mean difference of pont test froem pre-test is hot equal so o There is not sufTicient sarepie evidenice to suppot the claim that the mean difference of post test

Explanation / Answer

Sol:

In excel go to

data >data analysis>paired t test for means

t=1.5585

p=0.1348

p>0.05

Do not reject H0

data used:

if there is any datapoint check

t-Test: Paired Two Sample for Means pretest posttest Mean 44.69048 38.47143 Variance 28.5419 428.9661 Observations 21 21 Pearson Correlation 0.556249 Hypothesized Mean Difference 0 df 20 t Stat 1.558455 P(T<=t) one-tail 0.067405 t Critical one-tail 1.724718 P(T<=t) two-tail 0.134809 t Critical two-tail 2.085963

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