onsider the following competing hypotheses: (You may find it useful to reference the appropriate table: z table or t table)   H0: μD ≥ 0; HA: μD < 0   d¯d¯  = −2.8, sD = 5.7, n = 12   The following results are obtained using matched samples from two normally distributed populations:   a-1. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)       a-2. Find the p-value.   multiple choice 1 p-value < 0.01 Incorrect 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10   b. At the 5% significance level, what is the conclusion to the hypothesis test?   multiple choice 2 Reject H0 since the value of the p-value is less than the significance level. Incorrect Reject H0 since the value of the p-value is not less than the significance level. Do not reject H0 since the value of the p-value is less than the significance level. Do not reject H0 since the value of the p-value is not less than the significance level. c. Interpret the results at αα = 0.05. multiple choice 3 We can conclude that the mean difference differs from zero. We cannot conclude that the mean difference differs from zero. Incorrect We conclude that that the mean difference is less than zero. We cannot conclude that the mean difference is less than zero.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Consider the following competing hypotheses: (You may find it useful to reference the appropriate table: z table or t table)

 
H0μD ≥ 0; HAμD < 0
 

d¯d¯

 = −2.8, sD = 5.7, n = 12
 
The following results are obtained using matched samples from two normally distributed populations:
 

a-1. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
 

 


 
a-2. Find the p-value.
 
multiple choice 1

  • p-value < 0.01 Incorrect
  • 0.01 ≤ p-value < 0.025
  • 0.025 ≤ p-value < 0.05
  • 0.05 ≤ p-value < 0.10
  • p-value ≥ 0.10


 
b. At the 5% significance level, what is the conclusion to the hypothesis test?
 
multiple choice 2

  • Reject H0 since the value of the p-value is less than the significance level. Incorrect
  • Reject H0 since the value of the p-value is not less than the significance level.
  • Do not reject H0 since the value of the p-value is less than the significance level.
  • Do not reject H0 since the value of the p-value is not less than the significance level.



c. Interpret the results at

αα

= 0.05.

multiple choice 3

  • We can conclude that the mean difference differs from zero.
  • We cannot conclude that the mean difference differs from zero. Incorrect
  • We conclude that that the mean difference is less than zero.
  • We cannot conclude that the mean difference is less than zero.
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