Question

A new thermometer is used to measure the body temperature of 100 healthy subjects. The mean and standard deviation for this sample are: x = 98.5F and s = 0.75F. Based on this information, test at a 0.05 significance level the hypothesis that the human body temperature is significantly different from 98.6F (i.e., test Ho: 0 = 98.6F versus H1: # 98.6F). Assume body temperatures normally distributed. 3. Can we reject the null hypothesis? a) yes b) no 4. What is the P-value? b) 0.0027 c) 0.0087 a) 0.027 d) 0.097

Answer 1

classmate Dale Pone Given n=100 Sample medo = = 98.5 F Sample standard deviation =S= 0.75 F population mean lo=98.6 F level of significance = x=0.05 Hor, then population standard one sample t-test deviation is not known is suitable Hypothesis - Hol- el=98.6F Vs Hir el & 98.6F. solution test statisticat=x-ello 98.5-98.6 0.75 1/100 0.075 It = -2.33 P-value Paralue= a*PCT> Iti - 2* PCT) 1-1.331) Sat 0.0933 IP-value = 0.1866

classmate Date Page Decision ire O. 18667 0.05 P-value> a fail to reject Ho 3.6 No, we uit reject the null bypothesis 4. P-value is o.+ 866 conclusion There is not sufficient evidence to conclude that the human body temperature is significantly different from gof.