Question

Answer all below questions. Show your calculations, and where asked, explain your answers.

A physiologist wishes to compare the effects of two concentrations of muscle relaxant on the quadriceps muscle in long-distance male runners. After acquiring ethical clearance, the researcher randomly selects 30 female long-distance runners (LDR) from a national list that included all male and female registered LDRs. The researcher later marks a 7mm long muscle on the thigh (the rectus femoris which occupies the middle of the thigh) of each study participant and injects the higher concentration (in the marked muscle area) to 15 of the runners (randomly selected from the 30). The lower concentration is injected in the marked muscle area of the remaining 15 participants. The researcher later measures the length of the marked muscle in all 30 participants after 15 minutes of the injection and she wants to conclude whether the two concentrations of drug differ in their effect. The estimate she will be using is the difference in sample means. The results were as follows: the mean muscle length for the high concentration was 14 mm, and for the low concentration, 9.5 mm. The researcher knew from previous large-scale research that the value of the population standard deviation for the effect of the high concentration of the relaxant drug on muscle was: σH=0.7 mm, and the population standard deviation for the low concentration was: σL=0.6 mm.

Q1: Indicate the following:

Target population or population of concern for the study

The sampling frame

Sampling method: was this a probability or nonprobability sampling?

Elaborate the type of the sampling method

Q2: Write a Null and an Alternative hypothesis for this trial

Q3: Calculate the difference in means of the two samples

Q4: Calculate the standard error for the difference of means

Q5: Calculate the 95% confidence interval for the difference in means

Q6: Conclude your findings. What could the researcher conclude about the effect of the two drug concentrations on muscle relaxation?

Q7: Can the researcher apply the results on female long-distance runners? Elaborate your answer.

Answer 1

let, high concentration :- ni= 15, Xi = 14, low concentration & 12=15, X2=9.5, TH=0,7 I=0,6 Testing the hell of allesnative hypothesis, Hoi 4 = 42 Hii eli la 9.3) Difference for two sample means is, j-X2 = 14-9,5 x - 72=4.5 9.4) dt = nitna- 2=15+15-2=28 SE for Means is,

2005, 28 = 2,0484 8. Ex = tx, df a 2 он + n2 - 2,0484 x Co.72 + (0.6)2 15 15 = 2.0484 x 0.2380 S.E- = 0,4876 9.5 95% CI 95% CI four differences in means, (x,-72) I s. Ex 4.5 t 0,4876 ( 4.0124, 4.9816