Question

1. [-15 Points] DETAILS DEVORESTAT9 9.E.003.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Pilates is a popular set of exercises for the treatment of individuals with lower back pain. The method has six basic principles: centering, concentration, control, precision, flow, and breathing. An article reported on an experiment involving 88 subjects with nonspecific low back pain. The participants were randomly divided into two groups of equal size. The first group received just educational materials, whereas the second group participated in 6 weeks of Pilates exercises. The sample mean level of pain (on a scale from 0 to 10) for the control group at a 6-week follow-up was 5.2 and the sample mean for the treatment group was 3.2; both sample standard deviations were 2.3. (a) Does it appear that true average pain level for the control condition exceeds that for the treatment condition? Carry out a test of hypotheses using a significance level of 0.01. State the relevant hypotheses. O Ho: A control-treatment = 0 Ha: 4 control - Mtreatment 20 O Ho: M control - Utreatment = 0 Ha: control - Mtreatment so O Ho: Ml control - Utreatment = 0 Ha: control - M treatment 7 0 O Ho: M control - Mtreatment = 0 Ha: control – Altreatment > 0 O Ho: A control - Altreatment = 0 Ha: control - Mtreatment < 0 Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value =

Answer 1

Ha: MControl -l treatment >o Control Treatment x 5.2 3.2 s = 2.3 Sx = 2.3 Sy 12 = 44 no 44 a ) Ho control - Mtreatment = 0 option 6 2= 7-9-(M-H2) sur Sul -) 5-2-3-2 - 0 (2-3) MI и) (2:3) + uu uy 2 1-8 (2 =) 4.0886 0.49036 Z=4-0786 Right Tailed P-vake is Pevame -):1-014.0786) -) 1-0-999 a) 0.000023 ♡ P-vake <0.01. Reject null wuce Hypothesis. It can be Conkluded that mean Kluded that mean level of pain exceeds the mean level of Rain for the treatment lo for Control group CS Scanned with CamScanner

Ho : M control - M breatment to Has M control -Mfreefacent > 1 option @ 2= X-9-CM-M) (2-3) - (2-3) uu 44 - > 5.2 -3-2 -1 =) 1 0.49036 -)2.0393 0-49036 Z- = 2.0393 P-vatie > P-vame => 0-02 071 Coool) If fails to reject (0.02) the well-Hypothesis. Therefore It can be Concluded that the pean level of pain for the control group exceeds the mean level for the treatment group by g pain not more then 1. CS Scanned with CamScanner