charges large popcorn and two medium soft drinks at a sample of six theatre

# Charges large popcorn and two medium soft drinks at a

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charges, large popcorn, and two medium soft drinks at a sample of six theatre chains: At the 0.05 level of significance, is there evidence that the mean price for two tickets, with online service charges, large popcorn, and two medium soft drinks, is different from \$35? Determine the p-value in (a) and interpret your results. Q2 In customer data set. we want to determine whether or not the mean of age of the customers in each income category differ from 42 at 5% level of significant.
7 Exercises Solution Q1 𝐻 0 : 𝜇 = 35 𝐻 1 : 𝜇 ≠ 35 p-value = 0.431 ∵ p − value = 0.431 > 0.05 We do not reject the null hypothesis 𝐻 0 . We do not have enough evidence to conclude that the mean price for two tickets, with online service charges, large popcorn, and two medium soft drinks, is different from \$35. Q2 Under \$25 𝐻 0 : 𝜇 1 = 42 𝐻 1 : 𝜇 1 ≠ 42 \$25 - \$49 𝐻 0 : 𝜇 2 = 42 𝐻 1 : 𝜇 2 ≠ 42 \$50 - \$74 𝐻 0 : 𝜇 3 = 42 𝐻 1 : 𝜇 3 ≠ 42 \$75+ 𝐻 0 : 𝜇 4 = 42 𝐻 1 : 𝜇 4 ≠ 42 Under \$25, \$25 - \$49, \$50 - \$74 and \$75+: p-value < 0 We reject the null hypothesis 𝐻 0 . We have enough evidence to conclude that the mean age of the customers in each income category differ from 42. One-Sample Test Test Value = 35 t df Sig. (2- tailed) Mean Difference 95% Confidence Interval of the Difference Lower Upper Price .856 5 .431 1.53333 -3.0733 6.1399 One-Sample Statistics Income category in thousands N Mean Std. Deviation Std. Error Mean Under \$25 Age in years 1174 37.78 16.096 .470 \$25 - \$49 Age in years 2388 38.81 10.902 .223 \$50 - \$74 Age in years 1120 42.93 9.573 .286 \$75+ Age in years 1718 48.94 9.268 .224 One-Sample Test Income category in thousands Test Value = 42 t df Sig. (2- tailed) Mean Difference 95% Confidence Interval of the Difference Lower Upper Under \$25 Age in years -8.993 1173 .000 -4.225 -5.15 -3.30 \$25 - \$49 Age in years -14.306 2387 .000 -3.191 -3.63 -2.75 \$50 - \$74 Age in years 3.249 1119 .001 .929 .37 1.49 \$75+ Age in years 31.018 1717 .000 6.935 6.50 7.37