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Answer B

Answer B

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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Answer B 

Critical Values for the t Distribution. Q Critical Values of t For a particular number of degrees of freedom, entry represents the critical value of t corresponding to the cumulative probability (1 a) and a specified upper-tail area (a) Degrees of Freedom 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0.75 0.25 1.0000 0.8165 0.7649 0.7407 0.7267 0.7176 0.7111 0.7064 0.7027 0.6998 0.6974 0.6955 0.6938 0.6924 0.6912 0.6901 0.6892 0.6884 0.088 0.6876 0.6870 0.6864 0.6858 0.6853 0.6848 0.6844 0.6840 02037 0.90 Cumulative Probabilities 0.10 3.0777 1.8856 1.6377 1.5332 1.4759 1.4398 1.4149 1.3968 1.3830 1.3722 1.3634 1.3562 1.3502 1.3450 1.3406 1.3368 1.3334 1.3304 1.3277 1.3253 1.3232 1.3212 1.3195 1.3178 1.3163 1.3150 13137 0.95 0.975 Upper-Tail Areas 0.025 12.7062 4.3027 0.05 6.3138 2.9200 2.3534 2.1318 2.0150 1.9432 1.8946 1.8595 1.8331 1.8125 1.7959 1.7823 1.7709 1.7613 1.7531 1.7459 1.7396 1.7341 1.7291 1.7247 1.7207 1.7171 1.7139 1.7109 1.7081 1.7056 17033 3.1824 2.7764 2.5706 2.4469 2.3646 2.3060 2.2622 2.2281 2.2010 2.1788 2.1604 2.1448 2.1315 2.1199 2.1098 2.1009 2.0930 2.0860 2.0796 2.0739 2.0687 2.0639 2.0595 2.0555 20010 0.99 0.01 31.8207 6.9646 4.5407 3.7469 3.3649 3.1427 2.9980 2.8965 2.8214 2.7638 2.7181 2.6810 2.6503 2.6245 2.6025 2.5835 2.5669 2.5524 2.5395 2.5280 2.5177 2.5083 2.4999 2.4922 2.4851 2.4786 315737 0 t 0.995 0.005 63.6574 9.9248 5.8409 4.6041 4.0322 3.7074 3.4995 3 4995 3.3554 3.2498 3.1693 3.1058 3.0545 3.0123 2.9768 2.9467 2.9208 2.8982 2.8784 2.0704 2.8609 2.8453 2.8314 2.8188 2.8073 2.7969 2.7874 2.7787 3.7707 - X Critical Values for the t Distribution. Degrees of Freedom 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 0.75 0.25 0.6795 0.6794 0.6793 0.6792 0.6791 0.6791 0.6790 0.6789 0.6788 0.6787 0.6787 0.6786 0.6785 0.6785 0.6784 0.6783 0.6783 0.6782 0.6782 0.6781 0.6781 0.6780 0.6780 0.6779 0.6779 0.6778 0.6778 0.6777 6777 0.6777 0.6776 0.6776 0.6776 0.6775 0.90 0.10 1.2991 1.2987 1.2984 1.2980 1.2977 1.2974 1.2971 1.2969 1.2966 1.2963 1.2961 1.2958 1.2956 1.2954 1.2951 12049 1.2949 1.2947 1.2945 1.2943 1.2941 1.2939 1.2938 1.2936 1.2934 1:2934 1.2933 1.2931 1.2929 1.2928 1.2926 1.2925 1.2924 1.2922 1.2921 Cumulative Probabilities 0.975 Upper-Tail Areas 0.95 0.025 2.0096 2.0086 2.0076 2.0066 2.0057 2.0049 2.0040 0.05 1.6766 1.6759 1.6753 1.6747 1.6741 1.6736 1.6730 1.6725 1.6720 1.6716 1.6711 1.6706 1.6702 1.6698 1.6694 1.6690 1.6686 1.6683 1.6679 1.6676 1.6672 1.6669 1.6666 1.6663 1.6660 1.6657 1.6654 1.6652 1.6649 1.6646 1.6644 1.6641 1.6639 2.0032 2.0025 2.0017 2.0010 2.0003 1.9996 1.9990 1.9983 1.9977 1.9971 1.9966 1.9960 1.9955 1.9949 1.9944 1.9939 1.9935 1.9930 1.9925 1.9921 1.9917 1.9913 1.9908 1.9905 1.9901 1.9897 0.99 0.01 2.4049 2.4033 2.4017 2.4002 2.3988 2.3974 2.3961 2.3948 2.3936 2.3924 2.3912 2.3901 2.3890 2.3880 2.3870 2.3860 2.3851 2.3842 2.3833 2.3824 2.3816 2.3808 2.3800 2.3793 2.3785 2.3778 2.3771 2.3764 2.3758 2.3751 2.3745 2.3739 2.3733 0.995 0.005 2.6800 2.6778 2.6757 2.6737 2.6718 2.6700 2.6682 2.6665 2.6649 2.6633 2.6618 2.6603 2.6589 2.6575 2.6561 2.6549 2.6536 2.6524 2.6512 2.6501 2.6490 2.6479 2.6469 2.6459 2.6449 2.6439 2.6430 2.6421 2.6412 2.6403 2.6395 2.6387 2.6379 - X
Transcribed Image Text:Critical Values for the t Distribution. Q Critical Values of t For a particular number of degrees of freedom, entry represents the critical value of t corresponding to the cumulative probability (1 a) and a specified upper-tail area (a) Degrees of Freedom 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0.75 0.25 1.0000 0.8165 0.7649 0.7407 0.7267 0.7176 0.7111 0.7064 0.7027 0.6998 0.6974 0.6955 0.6938 0.6924 0.6912 0.6901 0.6892 0.6884 0.088 0.6876 0.6870 0.6864 0.6858 0.6853 0.6848 0.6844 0.6840 02037 0.90 Cumulative Probabilities 0.10 3.0777 1.8856 1.6377 1.5332 1.4759 1.4398 1.4149 1.3968 1.3830 1.3722 1.3634 1.3562 1.3502 1.3450 1.3406 1.3368 1.3334 1.3304 1.3277 1.3253 1.3232 1.3212 1.3195 1.3178 1.3163 1.3150 13137 0.95 0.975 Upper-Tail Areas 0.025 12.7062 4.3027 0.05 6.3138 2.9200 2.3534 2.1318 2.0150 1.9432 1.8946 1.8595 1.8331 1.8125 1.7959 1.7823 1.7709 1.7613 1.7531 1.7459 1.7396 1.7341 1.7291 1.7247 1.7207 1.7171 1.7139 1.7109 1.7081 1.7056 17033 3.1824 2.7764 2.5706 2.4469 2.3646 2.3060 2.2622 2.2281 2.2010 2.1788 2.1604 2.1448 2.1315 2.1199 2.1098 2.1009 2.0930 2.0860 2.0796 2.0739 2.0687 2.0639 2.0595 2.0555 20010 0.99 0.01 31.8207 6.9646 4.5407 3.7469 3.3649 3.1427 2.9980 2.8965 2.8214 2.7638 2.7181 2.6810 2.6503 2.6245 2.6025 2.5835 2.5669 2.5524 2.5395 2.5280 2.5177 2.5083 2.4999 2.4922 2.4851 2.4786 315737 0 t 0.995 0.005 63.6574 9.9248 5.8409 4.6041 4.0322 3.7074 3.4995 3 4995 3.3554 3.2498 3.1693 3.1058 3.0545 3.0123 2.9768 2.9467 2.9208 2.8982 2.8784 2.0704 2.8609 2.8453 2.8314 2.8188 2.8073 2.7969 2.7874 2.7787 3.7707 - X Critical Values for the t Distribution. Degrees of Freedom 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 0.75 0.25 0.6795 0.6794 0.6793 0.6792 0.6791 0.6791 0.6790 0.6789 0.6788 0.6787 0.6787 0.6786 0.6785 0.6785 0.6784 0.6783 0.6783 0.6782 0.6782 0.6781 0.6781 0.6780 0.6780 0.6779 0.6779 0.6778 0.6778 0.6777 6777 0.6777 0.6776 0.6776 0.6776 0.6775 0.90 0.10 1.2991 1.2987 1.2984 1.2980 1.2977 1.2974 1.2971 1.2969 1.2966 1.2963 1.2961 1.2958 1.2956 1.2954 1.2951 12049 1.2949 1.2947 1.2945 1.2943 1.2941 1.2939 1.2938 1.2936 1.2934 1:2934 1.2933 1.2931 1.2929 1.2928 1.2926 1.2925 1.2924 1.2922 1.2921 Cumulative Probabilities 0.975 Upper-Tail Areas 0.95 0.025 2.0096 2.0086 2.0076 2.0066 2.0057 2.0049 2.0040 0.05 1.6766 1.6759 1.6753 1.6747 1.6741 1.6736 1.6730 1.6725 1.6720 1.6716 1.6711 1.6706 1.6702 1.6698 1.6694 1.6690 1.6686 1.6683 1.6679 1.6676 1.6672 1.6669 1.6666 1.6663 1.6660 1.6657 1.6654 1.6652 1.6649 1.6646 1.6644 1.6641 1.6639 2.0032 2.0025 2.0017 2.0010 2.0003 1.9996 1.9990 1.9983 1.9977 1.9971 1.9966 1.9960 1.9955 1.9949 1.9944 1.9939 1.9935 1.9930 1.9925 1.9921 1.9917 1.9913 1.9908 1.9905 1.9901 1.9897 0.99 0.01 2.4049 2.4033 2.4017 2.4002 2.3988 2.3974 2.3961 2.3948 2.3936 2.3924 2.3912 2.3901 2.3890 2.3880 2.3870 2.3860 2.3851 2.3842 2.3833 2.3824 2.3816 2.3808 2.3800 2.3793 2.3785 2.3778 2.3771 2.3764 2.3758 2.3751 2.3745 2.3739 2.3733 0.995 0.005 2.6800 2.6778 2.6757 2.6737 2.6718 2.6700 2.6682 2.6665 2.6649 2.6633 2.6618 2.6603 2.6589 2.6575 2.6561 2.6549 2.6536 2.6524 2.6512 2.6501 2.6490 2.6479 2.6469 2.6459 2.6449 2.6439 2.6430 2.6421 2.6412 2.6403 2.6395 2.6387 2.6379 - X
The waiting time to check out of a supermarket has had a population mean of 8.89 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which there is a single waiting line with multiple checkout servers. A sample of 60 customers was selected, and their mean waiting time to check out was 7.83 minutes with a sample standard deviation of 4.8 minutes. Complete parts (a) through (d). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. a. At the 0.10 level of significance, using the critical value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 8.89 minutes? What are the null and alternative hypotheses for this test? O A. Ho: μ≤7.83 H₁: μ> 7.83 O D. Ho: μ²7.83 H₁: μ<7.83 OB. Ho: ≤8.89 H₁: μ> 8.89 C O E. Ho: μ> 8.89 Η,:μ 58.89 C. Ho: 28.89 H₁: μ<8.89 OF. Ho: μ<7.83 H₁:μ ≥7.83 What is the test statistic for this test? -1.7106 (Round to four decimal places as needed.) What is the critical value for this test? - 1.2961 (Round to four decimal places as needed.) What is the conclusion for this test? Since the test statistic is less than the critical value, reject Ho. There is sufficient evidence to conclude that the population mean waiting time to check out is less than 8.89 minutes. b. At the 0.10 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 8.89 minutes? What is the p-value for this test? (Round to four decimal places as needed.)
Transcribed Image Text:The waiting time to check out of a supermarket has had a population mean of 8.89 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which there is a single waiting line with multiple checkout servers. A sample of 60 customers was selected, and their mean waiting time to check out was 7.83 minutes with a sample standard deviation of 4.8 minutes. Complete parts (a) through (d). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. a. At the 0.10 level of significance, using the critical value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 8.89 minutes? What are the null and alternative hypotheses for this test? O A. Ho: μ≤7.83 H₁: μ> 7.83 O D. Ho: μ²7.83 H₁: μ<7.83 OB. Ho: ≤8.89 H₁: μ> 8.89 C O E. Ho: μ> 8.89 Η,:μ 58.89 C. Ho: 28.89 H₁: μ<8.89 OF. Ho: μ<7.83 H₁:μ ≥7.83 What is the test statistic for this test? -1.7106 (Round to four decimal places as needed.) What is the critical value for this test? - 1.2961 (Round to four decimal places as needed.) What is the conclusion for this test? Since the test statistic is less than the critical value, reject Ho. There is sufficient evidence to conclude that the population mean waiting time to check out is less than 8.89 minutes. b. At the 0.10 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 8.89 minutes? What is the p-value for this test? (Round to four decimal places as needed.)
Expert Solution
Step 1: We have given that

Test statistic tstats=−1.7106

H0:μ≥8.89 Vs H1:μ<8.89


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