Conduct a hypothesis test at the level of significance to determine if the varia

Question

Conduct a hypothesis test at the level of significance to determine if the variability in tip percentage that was given on nights she did not introduced herself by name is greater than the variability in tip percentage when she did introduce herself by name.

Please show in matlab

Selflntrodu... VarName2 NoSelflntr... Number Cell Number 1 Tip a Per... 16.8329 15.2176 9.7500 20.6817 4 25.3868 20 724.9658 32.6632 21.1517 26.8569 11 23.8721 30.5868 13 19.5547 14 25.1628 17.2762 13.0561 15.1488 13.2970 8.0500 13.1433 10

Explanation / Answer

Excel output of the above data after performing the independent sample t test

Here below are the null and alternate hypothesis are

H0: m1 - mu2 >= 0

H1: mu1 - mu2 < 0

test statistics t = 5.81

p-value = 0

this is one tailed test

Reject the null hypothesis. This means there are sufficient evidence to conclude that the tip received is more when she did not introduce her name.

t-Test: Two-Sample Assuming Unequal Variances Sample 1(self Introduction) Sample 2(No introduction) Mean 24.4819 14.4101 Variance 16.7392 16.0923 Observations 12 10 Hypothesized Mean Difference 0 df 19 t Stat 5.8109 P(T<=t) one-tail 0.0000 t Critical one-tail 1.7291 P(T<=t) two-tail 0.0000 t Critical two-tail 2.0930

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