Hi, how would I go about solving this?
On average, students spend $110, with a standard deviation of$14, en non-essential items each week. Assume thatthese data are normally distributed. It you obtain a random sample at 49 students, what is the probability that these students spend more than $115, on average, on nonessential items each week? i I A. .9938 Q B. .005 Q c. .4913 O D. .4933 Z. 02 .04 07 08 0000 .0040 0080 .0120 .0160 0199 .0239 0279 .0319 0359 .0398 .0438 .0478 .0517 0557 0596 .0636 .0675 .0714 .0753 0793 .0832 0871 .0910 -0948 .0987 .1026 .1064 .1103 .1141 1179 .1217 1255 .1293 .1331 1368 .1406 .1443 1480 .1517 1554 .1591 1628 .1664 1700 1736 .1772 .1808 1844 .1879 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .2224 .2257 2291 .2324 2357 .2389 .2422 .2454 .2486 .2517 .2549 .2580 .2611 .2642 2673 .2704 .2734 .2764 2794 .2823 .2852 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3159 3133 .3186 .3212 .3238 .3264 .3289 1.0 .3315 .3340 .3365 3389 .3413 .3438 3461 .3485 3508 .3531 .3554 .3577 .3599 .3621 1.1 .3643 .3665 3686 .3708 .3729 3749 3770 .3790 1.2 .3810 .3849 3830 .3869 3888 .3907 .3925 .3944 .3962 .3980 3997 1.3 4015 .4032 .4049 .4066 4082 .4099 4115 4131 .4147 1.4 .4162 4177 4192 .4207 .4222 4236 4251 4265 .4279 4292 1.5 .4306 4319 .4332 4345 .4357 .4370 4382 4394 4406 4418 .4429 .4441 1.6 .4452 .4463 .4474 .4484 .4495 .4505 .4515 .4525 .4535 1.7 .4545 .4554 .4564 .4573 4582 4591 4599 4608 4616 .4625 1.8 4633 .4641 4649 .4656 4664 .4671 .4678 .4686 .4693 .4699 1.9 .4713 4706 4719 .4726 4732 4738 .4744 4750 4756 .4761 2.0 4767 .4772 4778 4783 4788 4793 .4798 4803 .4808 .4812 4817 2.1 .4821 .4826 .4830 4834 .4838 .4842 .4846 .4850 .4854 2.2 .4857 .4861 4864 .4868 4871 4875 .4878 4881 .4884 2.3 .4887 .4893 .4890 4896 4898 .4901 4904 4906 4909 .4911 2.4 .4913 4916 .4918 .4920 4922 4925 .4927 4929 4931 .4932 .4934 2.5 4936 4938 4940 .4941 4943 .4945 4946 .4948 .4949 .4951 .4952 2.6 .4953 4955 .4956 .4957 .4959 .4960 .4961 .4962 4963 2.7 4964 4965 .4966 .4967 4968 .4969 ,4970 .4971 .4972 .4973 .4974 2.8 .4974 4975 4976 4977 4977 .4978 .4979 4979 .4980 2.9 .4981 .4981 .4982 4982 .4983 .4984 .4984 .4985 .4985 4986 3.0 .4986 4987 4987 4987 .4988 4988 4989 .4989 .4989 .4990 .4990 Source: Abridged from Table I of A. Hald, Statistical Tables and Formulas (New York: Wiley), 1952. Reproduced by permission of A. Hald