Question

1. 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 was 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 pressures for the 12 rats are shown in the accompanying table. Data available online: Ex 1 Data Temp | Blood Pressure 26°C | 152 157 179 182 176 149 5°C | 384 369 354 375 366 423 With a significance level of 0.01, perform a hypothesis to see if there is evidence that the mean blood pressure of rats is higher at 5°C than the mean blood of rats at 26°C?

          1. 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 was 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 pressures for the 12 rats are shown in the accompanying table. Data available online: Ex 1 Data
Temp | Blood Pressure
26°C | 152 157 179 182 176 149
5°C | 384 369 354 375 366 423
With a significance level of 0.01, perform a hypothesis to see if there is evidence that the mean blood pressure of rats is higher at 5°C than the mean blood of rats at 26°C?

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1. 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 was 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 pressures for the 12 rats are shown in the accompanying table. Data available online: Ex 1 Data
Temp | Blood Pressure
26°C | 152 157 179 182 176 149
5°C | 384 369 354 375 366 423
With a significance level of 0.01, perform a hypothesis to see if there is evidence that the mean blood pressure of rats is higher at 5°C than the mean blood of rats at 26°C?

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert David Nguyen

09/19/2022

Step 1

The null hypothesis states that there is no difference in the mean blood pressure of rats at 5°C and 26°C. The alternative hypothesis states that the mean blood pressure of rats at 5°C is higher than at 26°C. H0: μ1 = μ2 (The mean blood pressure of rats at 5°C is Show more…

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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 was 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 pressures for the 12 rats are shown in the accompanying table. Data available online: Ex 1 Data Temp | Blood Pressure 26°C | 152 157 179 182 176 149 5°C | 384 369 354 375 366 423 With a significance level of 0.01, perform a hypothesis to see if there is evidence that the mean blood pressure of rats is higher at 5°C than the mean blood of rats at 26°C?

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00:01 Hi, i'm david and i'm here to help you and see your question.

00:03 In the question here, we are going to discuss about the high -partice testing to see if there is evidence then the mean blood pressure on the rate is higher and the 5 % than the mean blood of the rat and the 26 degrees sensors.

00:17 So let me bring up the dataset and put it on the top here.

00:22 And we'll call the mean of the 5 % will be the mu 1 and 26 % will be the mu 2.

00:30 So the question asked you perform the null hypothesis than the mu1 equal to the mu2 versus the alternative hypothesis then the mean of the 5 degree sensors will be granted than the mean of the 26 sensors.

00:44 And this is the right -tale test.

00:47 Now the first step we will need to compute from the first set here we have to find the n1 which is equal to the 6, the x bar 1 and also the s1 as well.

00:57 So if we pass the data into the calculator, 152, 157, 179, 182, 176, 149.

01:09 And then we have the x -par equal to the 165 .83.

01:16 And then we have the s, it will equal to the 14 .77.

01:23 Similarly, for this one, have n2 equal to the 6 as well.

01:26 The x bar 2 it will be 384 369 354 375 365 364 23 and then we have the xpar equal to the 378 point 5 and we have the s 2 it will equal to the 23 point 96 and the first step we need to compute the test statistics.

02:02 Denoted by the t, the formula will be the xx by 1 minus the x bar 2 over the s1 plus over n1 plus s2 square over the n2 under the square root...

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