y POIES Tor Tie SKippeu part, ana you wmIOLDe abe to come aCK TO Ie SKipped part. Tutorial Exercise Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood)....

Extracted text: y POIES Tor Tie SKippeu part, ana you wmIOLDe abe to come aCK TO Ie SKipped part. Tutorial Exercise Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is u = 7.4.1 A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 41 patients with arthritis took the drug for : months. Blood tests showed that x = 8.7 with sample standard deviation s = 3.6. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. What is the value of the sample test statistic? (c) Estimate the P-value. Sketch the sampling distribution and show the area corresponding to the P-value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? (e) Interpret your conclusion in the context of the application.


Extracted text: Step 5 (c) Estimate the P-value. Sketch the sampling distribution and show the area corresponding to the P- value. Recall that based on our alternative hypothesis, H,: u 7.4, we are conducting a two-tailed test. With a sample size of n = 41, the degrees of freedom for the Student's t-distribution are d.f. = n - 1 = 40 Refer to the excerpt from the table of critical values for Student's t- distribution to locate the test statistic t = 2.312 in the row corresponding to the degrees of freedom determined above. Note that the test statistic t = 2.312 falls between the table values 2.021 and 2.423. The two-tail area and the two-tail area corresponding to the corresponding to the critical value 2.021 is 1.96 critical value 2.423 is .0208 Identify the P-value range for this test based on these two-tail areas. P-value > 0.150 0.100 < p-value="">< 0.150="" o="" 0.050="">< p-value="">< 0.100="" o="">< p-value="">< 0.050="" o="" p-value="">< 0.020>