The null and alternate hypotheses are: H0 : μd ≤ 0 H1 : μd > 0 The following...

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Statistics

The null and alternate hypotheses are:

H0 : μd ≤ 0

H1 : μd > 0

The following sample information shows the number of defectiveunits produced on the day shift and the afternoon shift for asample of four days last month.

Day
1234
Day shift12121619
Afternoon shift12101618

At the 0.100 significance level, can we conclude there are moredefects produced on the day shift? Hint: For thecalculations, assume the day shift as the first sample.

  1. State the decision rule. (Round your answer to 2 decimalplaces.)

  1. Compute the value of the test statistic. (Round youranswer to 3 decimal places.)

  1. What is the p-value?

  • Between 0.10 and 0.15

  • Between 0.001 and 0.005

  • Between 0.005 and 0.01

  1. What is your decision regarding H0?

  • Do not reject H0

  • Reject H0

Answer & Explanation Solved by verified expert
4.1 Ratings (828 Votes)
a Decision ruleSample size n 4Degrees of freedom df n1 413Significance level 010Right tailed test For right tailed test Critical value tt010t010 for 3 degrees of freedom    See Answer
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