Researchers at The Wharton School of Business have found that men and women shop for different...
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Researchers at The Wharton School of Business have found that men and women shop for different reasons. While women enjoy the shopping experience, men are on a mission to get the job done. Men do not shop as frequently, but when they do, they make big purchases like expensive electronics. The accompanying table shows the amount spent (in $) over the weekend by 40 men and 60 women at a local mall. The Excel file is also provided. (You may find it useful to reference the appropriate table: z table or t table) Spending by Spending by Spending by Spending by Men Women Men Women 90 87 38 79 92 92 72 97 83 118 108 85 102 139 90 89 52 49 140 90 64 96 132 117 88 92 105 95 119 118 124 131 113 124 71 115 95 102 94 111 85 គតទីងទីតមាន៖៖៖៧៩ដននីដ៩៩១នគឺ៖៖៖៖មីង 104 110 ខទន៨៖មនខ៩៩១ឌទគឺវឥមី៖នតបទ៖ម។ទីតម ***************** Let μ₁ represent the population mean amount spent by men and μ2 represent the population mean amount spent by women. a. Specify the competing hypotheses that determine if the mean amount spent by men is more than that by women. Ho: H1 H2 = 0; HA: μ1 - μ2 * 0 - Ho: H1 H2 = 0; HA: H1 - 442 < 0 Ho: H1 H2 = 0; HA: H1 - H2 > 0 b. Calculate the value of the test statistic. Assume that the population variances are unknown but equal. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic c. Find the p-value. p-value ≤ 0.01 0.01 < p-value ≤ 0.025 0.025 < p-value ≤ 0.05 0.05 < p-value ≤ 0.10 p-value > 0.10 d. At the 1% significance level, determine if the mean amount spent by men is more than that by women. Reject Ho; the mean amount spent by men is more than that by women. Reject Ho; the mean amount spent by men is not more than that by women. Do not reject Ho; the mean amount spent by men is more than that by women. Do not reject Ho; the mean amount spent by men is not more than that by women. Researchers at The Wharton School of Business have found that men and women shop for different reasons. While women enjoy the shopping experience, men are on a mission to get the job done. Men do not shop as frequently, but when they do, they make big purchases like expensive electronics. The accompanying table shows the amount spent (in $) over the weekend by 40 men and 60 women at a local mall. The Excel file is also provided. (You may find it useful to reference the appropriate table: z table or t table) Spending by Spending by Spending by Spending by Men Women Men Women 90 87 38 79 92 92 72 97 83 118 108 85 102 139 90 89 52 49 140 90 64 96 132 117 88 92 105 95 119 118 124 131 113 124 71 115 95 102 94 111 85 គតទីងទីតមាន៖៖៖៧៩ដននីដ៩៩១នគឺ៖៖៖៖មីង 104 110 ខទន៨៖មនខ៩៩១ឌទគឺវឥមី៖នតបទ៖ម។ទីតម ***************** Let μ₁ represent the population mean amount spent by men and μ2 represent the population mean amount spent by women. a. Specify the competing hypotheses that determine if the mean amount spent by men is more than that by women. Ho: H1 H2 = 0; HA: μ1 - μ2 * 0 - Ho: H1 H2 = 0; HA: H1 - 442 < 0 Ho: H1 H2 = 0; HA: H1 - H2 > 0 b. Calculate the value of the test statistic. Assume that the population variances are unknown but equal. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic c. Find the p-value. p-value ≤ 0.01 0.01 < p-value ≤ 0.025 0.025 < p-value ≤ 0.05 0.05 < p-value ≤ 0.10 p-value > 0.10 d. At the 1% significance level, determine if the mean amount spent by men is more than that by women. Reject Ho; the mean amount spent by men is more than that by women. Reject Ho; the mean amount spent by men is not more than that by women. Do not reject Ho; the mean amount spent by men is more than that by women. Do not reject Ho; the mean amount spent by men is not more than that by women.
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Related Book For
Essentials of Business Statistics Communicating With Numbers
ISBN: 978-0078020544
1st edition
Authors: Sanjiv Jaggia, Alison Kelly
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