Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, t
Posted: Sun Jul 10, 2022 10:22 am
Let x be a random variable that representsthe pH of arterial plasma (i.e., acidity of the blood). For healthyadults, the mean of the x distributionis 𝜇 = 7.4.† A new drug for arthritis has beendeveloped. However, it is thought that this drug may change bloodpH. A random sample of 31 patients with arthritis tookthe drug for 3 months. Blood tests showedthat x = 8.8 with sample standarddeviation s = 3.5. Use a 5% level ofsignificance to test the claim that the drug has changed (eitherway) the mean pH level of the blood.
a- Level of significance?
b- State the null and alternate hypotheses.
c- What is the value of the sample test statistic? (Round youranswer to three decimal places.)
d- Estimate the P-value:
1- P-value > 0.150
2- 0.100 < P-value <0.150
3- 0.050 < P-value < 0.100
4- 0.020 < P-value < 0.050
5- P-value < 0.020
e- Based on your answers in parts (a) to (d), will you reject orfail to reject the null hypothesis? Are the data statisticallysignificant at level 𝛼? (multiple choice:)
1 At the 𝛼 = 0.05 level, we reject the null hypothesisand conclude the data are statistically significant.
2 At the 𝛼 = 0.05 level, we reject the null hypothesisand conclude the data are not statisticallysignificant.
3 At the 𝛼 = 0.05 level, we fail to reject thenull hypothesis and conclude the data are statisticallysignificant.
4 At the 𝛼 = 0.05 level, we fail to reject the nullhypothesis and conclude the data are not statisticallysignificant.
a- Level of significance?
b- State the null and alternate hypotheses.
c- What is the value of the sample test statistic? (Round youranswer to three decimal places.)
d- Estimate the P-value:
1- P-value > 0.150
2- 0.100 < P-value <0.150
3- 0.050 < P-value < 0.100
4- 0.020 < P-value < 0.050
5- P-value < 0.020
e- Based on your answers in parts (a) to (d), will you reject orfail to reject the null hypothesis? Are the data statisticallysignificant at level 𝛼? (multiple choice:)
1 At the 𝛼 = 0.05 level, we reject the null hypothesisand conclude the data are statistically significant.
2 At the 𝛼 = 0.05 level, we reject the null hypothesisand conclude the data are not statisticallysignificant.
3 At the 𝛼 = 0.05 level, we fail to reject thenull hypothesis and conclude the data are statisticallysignificant.
4 At the 𝛼 = 0.05 level, we fail to reject the nullhypothesis and conclude the data are not statisticallysignificant.