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4. The data below show the distribution of baseball ticket prices for 1000,randomly- selected spectators. The sample includes 650 men and 350 ,women.,,Women Men,, $5 90 210, $10 115 285, $15 95 105, $25 50 50,,,a) Does the price paid for a ticket depend significantly on whether the spectator is female or male? State H0, Ha, and base your answer on the MINITAB test results given below. Practise by doing it by hand as well.,, ,Expected counts are printed below observed counts,, C3 C4 Total, 1 90 210 300, 105.00 195.00,, 2 115 285 400, 140.00 260.00,, 3 95 105 200, 70.00 130.00,, 4 50 50 100, 35.00 65.00,, Total 350 650 1000,,Chi-Sq = 2.143 + 1.154 +, 4.464 + 2.404 +, 8.929 + 4.808 +, 6.429 + 3.462 = 33.791,DF = 3, P-Value = 0.000,,b) Test whether the mean price paid by women is significantly greater than $10.,,c) Test whether the mean prices paid by men and women are significantly different. Base your conclusion on the following appropriate MINITAB output. State the null and alternative hypotheses. Practise by doing it by hand as well.,,,Two-sample T ,,gender N Mean StDev SE Mean,male 650 10.35 5.42 0.21,female 350 12.21 6.37 0.34,,null hypothesis m (female) = m (male),Estimate for difference: -1.868,95% CI for difference: (-2.656, -1.080),T-Value = -4.65 P-Value = 0.000 DF = 623,

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