Question

Please write the R code to solve the question.

Problem (2). In an effort to link cold environments with hypertension in humans, a preliminary experiment was conducted to investigate the effect of cold on hypertension in rats. Two random samples of 6 rats each were exposed to different environments. One sample of rats were held in a normal environment at 26°C. The other sample was held in a cold 5°C environment. Blood pressures and heart rates were measured for rats for both groups. The blood pressure for the 12 rats are shown in the accompanying table. Do the data provide sufficient evidence to indicate that rats exposed to a 5°C environment have a 05 higher mean blood pressure than rats exposed to a 26°C environment? Test by using a - 26°C Blood Pressure 152 157 179 182 176 149 5°C Blood Pressure 384 369 354 375 366 423 Rat Rat 4 10 12

Answer 1

From the given data

$Console Terminal BP26-c (152,157,179,182,176,149) > BP5-с (384 ,369 ,354 , 375, 366 ,423) > cat(HO: The rats exposed to 5 c environment have not hgiher mean blood pressure than rats exposed to a 26 C environm ent \n) H0: The rats exposed to 5 C environment have not hgiher mean blood pressure than rats exposed to a 26 C environment > cat (H1: The rats exposed to 5 C environment have hgiher mean blood pressure than rats exposed to a 26 C environment n H1: The rats exposed to 5 C environment have hgiher mean blood pressure than rats exposed to a 26 c environment >cat (Let the los be alpha0.05 \n Let the los be alpha0.05 > t.test (BP5, BP26,1eve1-0.05,alternativegreater,var.equal-TRUE R: Two Sample t-test data BP5 and BP26 t 18. 509, df-10, p-value 2.285e-09 alternative hypothesis: true difference in means is greater than 0 95 percent confidence interval: 9 191.842:2 sample estimates: mean Inf of x mean of y 165. 8333 378. 5000 > ni-1ength (BP5) > n2-length (BP26) > tcrit-qt (0.975,df-n1+n2-2) tcrit [1] 2.228139$

Here P-value = 0.000 which is less than alpha 0.05 so we reject H0

or

Here t value = 18.509 > t critical value = 2.228 so we reject H0

Thus we conclude that The rats exposed to 5 C environment have higher mean blood pressure than rats exposed to a 26 C environment