Homework Help is Here – Start Your Trial Now!
Math
Statistics
. Based on the rule of thumb, we use n-1 from the smaller sample for our degrees of freedom. What is ne t-critical value for alpha=.05 to test our hypothesis (the t-table is pasted below). Compare the critical value to the t-statistic. Can we reject the null hypothesis? Why or why not?

. Based on the rule of thumb, we use n-1 from the smaller sample for our degrees of freedom. What is ne t-critical value for alpha=.05 to test our hypothesis (the t-table is pasted below). Compare the critical value to the t-statistic. Can we reject the null hypothesis? Why or why not?

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
See similar textbooks
icon
Related questions
Question
- TABLES 701 Table entry for C is the critical value * required for confidence level C. To approximate one- and two-sided P-values, compare the value of the t statistic with the critical values of t" Tail area 15 Area C that match the P-values given at the bottom of the table. TABLEC t DISTRIBUTION CRITICAL VALUES CONFIDENCE LEVEL C DEGREES OF FREEDOM 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% 636.6 63.66 9.925 127.3 14.09 7.453 5.598 318.3 31.82 6.965 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 12.71 4.303 3.182 2.776 2.571 15.89 4.849 3.482 2.999 3.078 1.000 1.376 0.816 1.061 0.978 0.765 0.741 0.941 0.727 0.920 1 31.60 12.92 1.886 22.33 4.541 3.747 5.841 4.604 4.032 10.21 7.173 5.893 1.638 00.05 8.610 1.533 1.476 4 ILS 5 2.015 2.757 3.365 4.773 6.869 5.208 4.785 4.501 4.297 4.144 5.959 4.317 4.029 2.612 2.517 2.449 2.398 2.359 3.707 3.499 3.355 3.250 3.143 2.998 0.718 0.906 0.896 0.889 0.883 0.879 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 6. 1.134 5.408 5.041 4.781 4.587 7 0.711 1.119 2.896 2.821 2.764 3.833 8. 9. 0.706 0.703 0.700 1.108 1.100 3.690 3.581 10 1.093 3.169 2.718 2.681 2.650 2.624 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 1.363 1.356 1.796 1.782 2.201 2.179 2.160 2.145 2.328 0.697 0.876 0.695 0.873 0.694 0.692 0.868 1.076 1.345 0.691 11 1.088 12 1.083 2.303 2.282 2.264 2.249 13 0.870 1.079 1.350 1.771 14 1.761 3.326 15 0.866 1.074 1.341 1.753 2.131 2.602 3.286 4.073 4.015 3.965 3.922 3.883 3.850 3.252 3.222 3.686 3.646 3.611 3.579 2.921 2.898 1.746 1.740 1.734 2.235 2.224 2.214 2.583 2.567 2.552 2.539 2.528 2.120 0.865 1.071 1.069 1.067 1.066 1.064 1.337 0.690 0.689 16 2.110 0.863 0.862 17 1.333 2.878 2.861 2.845 18 0.688 1.330 2.101 3.197 2.093 2.086 3.174 3.153 2.205 1.328 1.325 1.729 1.725 19 0.688 0.861 20 0.687 0.860 2.197 3.552 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 3.135 2.189 2.183 2.518 2.508 2.500 2.492 2.485 2.831 1.323 1.321 1.319 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 0.686 0.859 0.858 0.686 1.063 1.061 2.819 3.119 22 GO.S23 3.104 1.060 1.059 1.058 2.177 2.172 2.167 2.807 2.797 2.787 0.685 0.858 1.318 3.091 0.685 0.857 0.684 0.856 24 25 1.316 2.060 3.078 3.435 3.421 3.408 3.396 3.385 2.779 3.067 3.707 1.706 1.703 1.701 1.699 1.697 2.162 2.158 2.154 2.150 2.479 2.473 2.467 2.462 2.457 1.058 1.057 1.315 1.314 1.313 2.056 0.684 0.684 0.683 0.856 0.855 26 3.690 3.057 3.047 2.771 2.052 2.048 2.045 2.042 27 2.763 2.756 3.674 3.659 3.646 28 0.855 1.056 1.311 3.038 0.854 0.854 1.055 29 30 0.683 0.683 1.055 1.310 2.147 2.750 3.030 3.551 2.971 2.937 3.307 3.261 1.050 1.047 1.299 0.679 0.848 1.045 1.296 0.846 1.043 1.292 1.042 1.290 1.037 1.684 1.676 1.671 1.664 1.660 1.646 2.123 2.109 2.099 2.088 2.081 2.056 2.423 2.403 2.390 2.374 2.364 2.330 2.704 2.678 2.660 2.639 2.626 1.303 2.021 0.681 0.679 0.851 40 50 60 80 100 1000 2.009 2.000 1.990 3.496 3.460 0.849 2.915 3.232 2.887 2.871 2.813 0.678 3.195 3.416 3.390 3.300 1.984 3.174 0.677 0.845 0.675 0.842 1.282 1.962 2.581 3.098 0.674 0.841 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.0 3.291 One-sided P .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .0005 Two-sided P .50 .40 .30 .20 .10 .05 .04 .02 .01 .005 .002 .001
Transcribed Image Text:- TABLES 701 Table entry for C is the critical value * required for confidence level C. To approximate one- and two-sided P-values, compare the value of the t statistic with the critical values of t" Tail area 15 Area C that match the P-values given at the bottom of the table. TABLEC t DISTRIBUTION CRITICAL VALUES CONFIDENCE LEVEL C DEGREES OF FREEDOM 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% 636.6 63.66 9.925 127.3 14.09 7.453 5.598 318.3 31.82 6.965 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 12.71 4.303 3.182 2.776 2.571 15.89 4.849 3.482 2.999 3.078 1.000 1.376 0.816 1.061 0.978 0.765 0.741 0.941 0.727 0.920 1 31.60 12.92 1.886 22.33 4.541 3.747 5.841 4.604 4.032 10.21 7.173 5.893 1.638 00.05 8.610 1.533 1.476 4 ILS 5 2.015 2.757 3.365 4.773 6.869 5.208 4.785 4.501 4.297 4.144 5.959 4.317 4.029 2.612 2.517 2.449 2.398 2.359 3.707 3.499 3.355 3.250 3.143 2.998 0.718 0.906 0.896 0.889 0.883 0.879 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 6. 1.134 5.408 5.041 4.781 4.587 7 0.711 1.119 2.896 2.821 2.764 3.833 8. 9. 0.706 0.703 0.700 1.108 1.100 3.690 3.581 10 1.093 3.169 2.718 2.681 2.650 2.624 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 1.363 1.356 1.796 1.782 2.201 2.179 2.160 2.145 2.328 0.697 0.876 0.695 0.873 0.694 0.692 0.868 1.076 1.345 0.691 11 1.088 12 1.083 2.303 2.282 2.264 2.249 13 0.870 1.079 1.350 1.771 14 1.761 3.326 15 0.866 1.074 1.341 1.753 2.131 2.602 3.286 4.073 4.015 3.965 3.922 3.883 3.850 3.252 3.222 3.686 3.646 3.611 3.579 2.921 2.898 1.746 1.740 1.734 2.235 2.224 2.214 2.583 2.567 2.552 2.539 2.528 2.120 0.865 1.071 1.069 1.067 1.066 1.064 1.337 0.690 0.689 16 2.110 0.863 0.862 17 1.333 2.878 2.861 2.845 18 0.688 1.330 2.101 3.197 2.093 2.086 3.174 3.153 2.205 1.328 1.325 1.729 1.725 19 0.688 0.861 20 0.687 0.860 2.197 3.552 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 3.135 2.189 2.183 2.518 2.508 2.500 2.492 2.485 2.831 1.323 1.321 1.319 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 0.686 0.859 0.858 0.686 1.063 1.061 2.819 3.119 22 GO.S23 3.104 1.060 1.059 1.058 2.177 2.172 2.167 2.807 2.797 2.787 0.685 0.858 1.318 3.091 0.685 0.857 0.684 0.856 24 25 1.316 2.060 3.078 3.435 3.421 3.408 3.396 3.385 2.779 3.067 3.707 1.706 1.703 1.701 1.699 1.697 2.162 2.158 2.154 2.150 2.479 2.473 2.467 2.462 2.457 1.058 1.057 1.315 1.314 1.313 2.056 0.684 0.684 0.683 0.856 0.855 26 3.690 3.057 3.047 2.771 2.052 2.048 2.045 2.042 27 2.763 2.756 3.674 3.659 3.646 28 0.855 1.056 1.311 3.038 0.854 0.854 1.055 29 30 0.683 0.683 1.055 1.310 2.147 2.750 3.030 3.551 2.971 2.937 3.307 3.261 1.050 1.047 1.299 0.679 0.848 1.045 1.296 0.846 1.043 1.292 1.042 1.290 1.037 1.684 1.676 1.671 1.664 1.660 1.646 2.123 2.109 2.099 2.088 2.081 2.056 2.423 2.403 2.390 2.374 2.364 2.330 2.704 2.678 2.660 2.639 2.626 1.303 2.021 0.681 0.679 0.851 40 50 60 80 100 1000 2.009 2.000 1.990 3.496 3.460 0.849 2.915 3.232 2.887 2.871 2.813 0.678 3.195 3.416 3.390 3.300 1.984 3.174 0.677 0.845 0.675 0.842 1.282 1.962 2.581 3.098 0.674 0.841 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.0 3.291 One-sided P .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .0005 Two-sided P .50 .40 .30 .20 .10 .05 .04 .02 .01 .005 .002 .001
Good Smells and Business (Note: The calculations are done for you. This problem only requires a table look up and an explanation of the finding) A restaurant compares the length (in minutes) of customer stays on a day when the scent of lavender was present (a relaxing smell) to a day when the scent of lemon was present (a stimulating smell). Theorizing that a relaxing smell will cause customers to stay longer, the study works from the following hypothesis: Null: The average stay on lavender days is equal to the average stay on lemon days. Alternative: The average stay on lavender days is greater than the average stay on lemon days. (One- sided hypothesis) The study randomly collects the total time for 30 customers on the lavender day (Sample 1) and 28 customers on the lemon day (Sample 2). The average stay from the lavender day sample is 91.3 minutes and the average stay from the lemon day sample is 89.8 minutes. Below is the equation for the t-test and the results from Excel data analysis software. (X- X2) (s1)2 (s2)? n1 n2 t-Test: Two-Sample Assuming Unequal Variances Lavender Days Lemon Days Mean (minutes) 91.3 89.8 222.9 238.3 Variance 30 28 Observations t Stat 0.37 1. Based on the rule of thumb, we use n-1 from the smaller sample for our degrees of freedom. What is the t-critical value for alpha=.05 to test our hypothesis (the t-table is pasted below). 2. Compare the critical value to the t-statistic. Can we reject the null hypothesis? Why or why not?
Transcribed Image Text:Good Smells and Business (Note: The calculations are done for you. This problem only requires a table look up and an explanation of the finding) A restaurant compares the length (in minutes) of customer stays on a day when the scent of lavender was present (a relaxing smell) to a day when the scent of lemon was present (a stimulating smell). Theorizing that a relaxing smell will cause customers to stay longer, the study works from the following hypothesis: Null: The average stay on lavender days is equal to the average stay on lemon days. Alternative: The average stay on lavender days is greater than the average stay on lemon days. (One- sided hypothesis) The study randomly collects the total time for 30 customers on the lavender day (Sample 1) and 28 customers on the lemon day (Sample 2). The average stay from the lavender day sample is 91.3 minutes and the average stay from the lemon day sample is 89.8 minutes. Below is the equation for the t-test and the results from Excel data analysis software. (X- X2) (s1)2 (s2)? n1 n2 t-Test: Two-Sample Assuming Unequal Variances Lavender Days Lemon Days Mean (minutes) 91.3 89.8 222.9 238.3 Variance 30 28 Observations t Stat 0.37 1. Based on the rule of thumb, we use n-1 from the smaller sample for our degrees of freedom. What is the t-critical value for alpha=.05 to test our hypothesis (the t-table is pasted below). 2. Compare the critical value to the t-statistic. Can we reject the null hypothesis? Why or why not?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS