Please help! It has long been stated that the mean temperature of humans is 98.6
ID: 3371373 • Letter: P
Question
Please help!
It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6 F. They measured the temperatures of 148 healthy adults 1 to 4 times daily for 3 days, obtaining 500 measurements. The sample data resulted in a sample mean of 980°F and a sample standard deviation of 0.7°F (a)Using the classical approach, judge whether the mean temperature of humans is less than 986°F at the ?: 0.01 level of significance (b)Approximate the P-value ?Click here to view the t-Distribution Area in Right Tail t-Distribution Area in Right Tail (a) Choose the correct answer below O A. Do not reject Ho since the test statistic is less than the critical value OB. Do not reject Ho since the test statistic is not less than the critical value f-Distribution Area in Right Tail C. Reject Ho since the test statistic is less than the critical value O D. Reject Ho since the test statistic is not less than the critical value (b) The P-value is approximately Round to four decimal places as needed.) df 0.25 0.20 0.15 0.10 ?.05 0.025 0.02 0.01 0.005 0.0025 0.1101 l',DD05 df 1 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 2 0816 106 1.386 1.886 2.920 4.303 4849 6.965 9.925 14.089 22.327 31.599 2 3 0.765 0978 1.250 1638 2353 3.182 3,482 4.541 5.841 4 0.741 094 190 1533 2132 2.776 2.999 3.747 4.604 5 0.727 0920 1.156 1.476 7.453 10.215 2924 3 7.173 5.893 5.208 4.785 4.501 4.297 5.598 4.773 8.610 4 6.869 5 5.959 6 5,408 7 5.041 4.781 4.587 10 4437 11 4.318 12 4.221 13 4.140 14 4.073 15 4.015 16 3.965 17 3.922 18 15 2571 2.757 3.365 4.032 6 0.718 0.906 1.134 1440 1.943 2.447 2.612 3.143 3.707 4.317 7 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 3.833 3.690 8 0.706 0889 1.108 1397 1860 2.306 2449 2.896 3.355 9 0.703 0883 1.100 1383 1833 2.262 2.398 2.821 3.250 10 0.700 0879 1093 1372 1812 2.228 2.359 2.764 3.169 3.5814.144 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 12 0695 0873 1.083 1356 1.782 2.179 2.303 2.681 3.055 3.497 13 0.694 0870 1.079 1350 1.771 2160 2.282 2.650 3.012 3.372 14 0.692 0868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 15 0691 0866 1.074 134 1.753 2131 2.249 2.602 2947 3.286 1337 1.746 2.120 2.235 2.583 2.921 3.252 17 0.689 0863 1.059 1333 1.740 2.110 2.224 2.567 2.898 3.222 4.0 3.930 3.852 3.787 3.733 3.686 3.646 Click to select your answer(s). 16 0690 0865 1.071 18 0.688 0862 1.067 1.330 734 2.10 2.214 2.552 878Explanation / Answer
Ho:the mean temperature of human is equal to 98.6 F
H1: the mean temperature of humans is less than 98.6F
Mean= 98.0000
sd= 0.70
u= 98.60
n= 500.00
alpha= 1%
-t(a,n-1)
-t(0.01,500-1)
-2.334
T = (mean-u)/(sd/sqrt(n))
= (98-98.6)/(0.7/sqrt(500))
-19.1663
P-value
P(T<t)
P(T<-19.1663)
T.DIST(-19.1663,500-1,TRUE)
0.0000
With t=-19.16, p<5%,I reject the null hypothesis at 5% level of significance and conclude that the mean temperature of humans is less than 98.6F
A)
Reject Ho since the test statistic is less than the critical value
B)
The p-value is 0.0000