Question 23

In a experiment on relaxation techniques, subject's brain signals were measured before and after the relaxation exercises with the following results:

Person12345Before42.242.642.841.337.8After39.339.737.739.739.8

Is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? Assume the population is normally distributed.

Select the test statistic, p-value, Decision to Reject (RH₀) or Failure to Reject (FRH₀)].

a)[t = 1.796, p-value = 0.147, FRH₀]

b)[t = 2.095, p-value = 0.147, RH₀]

c)[t = 1.796, p-value = 0.037, RH₀]

d)[t = 2.095, p-value = 0.073, RH₀]

e)[t = 1.796, p-value = 0.073, FRH₀]

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Question 24

The Blue Diamond Company advertises that their nut mix contains (by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only 25% peanuts. The truth-in-advertising investigators took a random sample (of size 20 lbs) of the nut mix and found the distribution to be as follows: 6 lbs of Cashews, 5 lbs of Brazil nuts, 8 lbs of Almonds and 1 lbs of Peanuts. At the 0.05 level of significance, is the claim made by Blue Diamond true?

Select the [test statistic, p-value, Decision to Reject (RH₀) or Failure to Reject (FRH₀)].

a)[²= 9.033, p-value = 0.029, RH₀]

b)[z = 4.517, p-value = 0.003, RH₀]

c)[²= 4.517, p-value = 0.014, RH₀]

d)[z = 1.960, p-value = 0.003, FRH₀]

e)[²= 9.033, p-value = 0.029, FRH₀]