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Calculate the relevant test statistic. Round your answer to two decimal places. t-statistic = Find the p-value. Round your answer to three decimal places. p-value = i

Calculate the relevant test statistic. Round your answer to two decimal places. t-statistic = Find the p-value. Round your answer to three decimal places. p-value = i

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Calculate the relevant test statistic.** Round your answer to two decimal places. \( t \)-statistic \( = \) [input box] --- **Find the \( p \)-value.** Round your answer to three decimal places. \( p \)-value \( = \) [input box]
Transcribed Image Text:**Calculate the relevant test statistic.** Round your answer to two decimal places. \( t \)-statistic \( = \) [input box] --- **Find the \( p \)-value.** Round your answer to three decimal places. \( p \)-value \( = \) [input box]
**Restaurant Bill by Gender** A study compared the cost of restaurant meals when people pay individually versus splitting the bill as a group. In the experiment, half of the people were told they would each be responsible for individual meal costs, and the other half were told the cost would be split equally among the six people at the table. In the study, the diners were also chosen so that half the people at each table were female and half were male. We can test for a difference in mean meal cost between females (\( n_1 = 24, \bar{x}_1 = 44.46, s_1 = 15.48 \)) and males (\( n_2 = 24, \bar{x}_2 = 43.75, s_2 = 14.81 \)). Let group 1 and group 2 be the meal costs for females and males, respectively. --- **State the null and alternative hypotheses.** - \( H_0: \mu_1 = \mu_2 \quad \text{vs} \quad H_A: \mu_1 < \mu_2 \) - \( H_0: \mu_1 \neq \mu_2 \quad \text{vs} \quad H_A: \mu_1 \leq \mu_2 \) - \( H_0: \mu_1 \neq \mu_2 \quad \text{vs} \quad H_A: \mu_1 = \mu_2 \) - \( H_0: \mu_1 = \mu_2 \quad \text{vs} \quad H_A: \mu_1 \neq \mu_2 \) - \( H_0: \mu_1 = \mu_2 \quad \text{vs} \quad H_A: \mu_1 > \mu_2 \)
Transcribed Image Text:**Restaurant Bill by Gender** A study compared the cost of restaurant meals when people pay individually versus splitting the bill as a group. In the experiment, half of the people were told they would each be responsible for individual meal costs, and the other half were told the cost would be split equally among the six people at the table. In the study, the diners were also chosen so that half the people at each table were female and half were male. We can test for a difference in mean meal cost between females (\( n_1 = 24, \bar{x}_1 = 44.46, s_1 = 15.48 \)) and males (\( n_2 = 24, \bar{x}_2 = 43.75, s_2 = 14.81 \)). Let group 1 and group 2 be the meal costs for females and males, respectively. --- **State the null and alternative hypotheses.** - \( H_0: \mu_1 = \mu_2 \quad \text{vs} \quad H_A: \mu_1 < \mu_2 \) - \( H_0: \mu_1 \neq \mu_2 \quad \text{vs} \quad H_A: \mu_1 \leq \mu_2 \) - \( H_0: \mu_1 \neq \mu_2 \quad \text{vs} \quad H_A: \mu_1 = \mu_2 \) - \( H_0: \mu_1 = \mu_2 \quad \text{vs} \quad H_A: \mu_1 \neq \mu_2 \) - \( H_0: \mu_1 = \mu_2 \quad \text{vs} \quad H_A: \mu_1 > \mu_2 \)
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