NEED HELP WITH (a-3) Test statistic (b-3) Test statistic Researchers at the Mayo Clinic have studied the effect of sound

[answerhappygod]

NEED HELP WITH
(a-3) Test statistic
(b-3) Test statistic
Researchers at the Mayo Clinic have studied the effect of sound
levels on patient healing and have found a significant association
(louder hospital ambient sound level is associated with slower
postsurgical healing). Based on the Mayo Clinic's experience,
Ardmore Hospital installed a new vinyl flooring that is supposed to
reduce the mean sound level (decibels) in the hospital corridors.
The sound level is measured at five randomly selected times in the
main corridor.
(a-1) Does the evidence convince you that the mean sound level
has been reduced? Select the appropriate hypotheses.
H0: μ1 – μ2 ≥ 0 vs. H1: μ1 – μ2 < 0
H0: μ1 – μ2 = 0 vs. H1: μ1 – μ2 ≠ 0
H0: μ1 – μ2 ≤ 0 vs. H1: μ1 – μ2 > 0
(a-2) At α = .05, what is the decision rule? Assume equal
variances.
Reject the null hypothesis if tcalc > –1.86 (8 d.f.)
Reject the null hypothesis if tcalc < –1.86 (8
d.f.)
(a-3) Calculate the test statistic. (Round your answer to 4
decimal places. Input the answer as a positive value.)
Test statistic
(a-4) At α = .05, is the mean sound level reduced?
Reject H0, the mean has been
reduced.
(b-1) At α = .05, has the variance changed? Choose the correct
hypothesis.
H0: σ12 / σ22 = 1 vs. H1: σ12 / σ22 ≠ 1.
H0: σ12 / σ22 ≠ 1 vs. H1: σ12 / σ22 = 1.
(b-2) At α = .05, what is the decision rule?
Reject H0 if Fcalc < 9.60 or Fcalc > .1042. (d.f.1 = 4,
d.f.2 = 4.)
Reject H0 if Fcalc > 9.60 or Fcalc < .1042. (d.f.1
= 4, d.f.2 = 4.)
(b-3) What is the test statistic? (Round the test statistic
value to 4 decimal places.)
Test statistic
(b-4) At α = .05, has the variance changed?
Do not reject H0, the variance has
not been changed.