Assume that the game playthrough times for a newly released puzzle game has a mean of 49 8 minutes and a standard deviation of 4 2 minutes A sample of size n 39 playthrough times is randomly selected from a gaming population Wh is the probability that the sample mean is in between 50 minutes and 51 minutes You may use a calculator or the portion of the 2 table given below Round your answers to three decimal places where appropriate z 0 00 0 01 0 02 0 03 0 04 0 05 0 06 0 07 0 08 0 09 0 3 0 618 0 622 0 626 0 629 0 633 0 637 0 641 0 644 0 648 0 652 0 40 655 0 659 0 663 0 666 0 670 0 674 0 677 0 681 0 684 0 688 0 5 0 691 0 695 0 698 0 702 0 705 0 709 0 712 0 716 0 719 0 722 0 6 0 726 0 729 0 732 0 736 0 739 0 742 0 745 0 749 0 752 0 755 0 7 0 758 0 761 0 764 0 7670 770 0 773 0 776 0 779 0 782 0 785 0 8 0 788 0 791 0 794 0 797 0 800 0 802 0 805 0 808 0 811 0 813 0 90 816 0 819 0 821 0 824 0 826 0 829 0 831 0 834 0 836 0 839 1 00 841 0 844 0 846 0 848 0 851 0 853 0 855 0 858 0 860 0 862 1 10 864 0 867 0 869 0 871 0 873 0 875 0 877 0 879 0 881 0 883 1 2 0 885 0 887 0 889 0 891 0 893 0 894 0 896 0 898 0 900 0 901 1 3 0 903 0 905 0 907 0 908 0 910 0 911 0 913 0 915 0 916 0 918 1 40 919 0 921 0 922 0 924 0 925 0 926 0 928 0 929 0 931 0 932 1 5 0 933 0 934 0 936 0 937 0 938 0 939 0 941 0 942 0 943 0 944 1 60 945 0 946 0 947 0 948 0 949 0 951 0 952 0 953 0 954 0 954 1 70 955 0 956 0 957 0 958 0 959 0 960 0 961 0 962 0 962 0 963 1 80 9640 9650 966 0 9660 967 0 00