Probability Degrees of Freedom 70 71 72 73 74 75 76 77 78 79 80 0.10 The quality manager at a breakfast cereal producer claimed that one of the two production lines in the factory, Production Line 1, was over-filling the boxes compared to Production Line 2. A random sample of 40 boxes produced by Production Line 1 had a mean weight of 20.062 ounces with a standard deviation of 0.035 ounce. A sample of 40 boxes produced by Production Line 2 had a mean weight of 20.047 ounces with a standard deviation of 0.033 ounce. Let ₁ be the population mean weight of boxes filled by Production Line 1, and let ₂ be the population mean weight of boxes filled by Production Line 2. The manager used the alternative hypothesis Ha ₁-2 > 0. If the test statistic is t≈ 1.97 with 78 degrees of freedom, what is the p-value for this hypothesis test? 0.05 0.025 0.01 0.005 1.294 1.667 1.994 2.381 2.648 1.294 1.667 1.994 2.380 2.647 1.293 1.666 1.993 2.379 2.646 1.293 1.666 1.993 2.379 2.645 1.293 1.666 1.993 2.378 2.644 1.293 1.665 1.992 2.377 2.643 1.992 2.376 2.642 2.641 1.293 1.665 1.293 1.665 1.991 2.376 1.292 1.665 1.991 2.375 1.292 1.664 1.990 2.640 2.374 2.640 1.292 1.664 1.990 2.374 2.639 Select the correct answer below: p-value < 0.01 0.025 0.10

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Probability
Degrees of Freedom
70
71
72
73
74
75
76
77
78
79
80
0.10
The quality manager at a breakfast cereal producer claimed that one of the two
production lines in the factory, Production Line 1, was over-filling the boxes
compared to Production Line 2. A random sample of 40 boxes produced
by Production Line 1 had a mean weight of 20.062 ounces with a standard
deviation of 0.035 ounce. A sample of 40 boxes produced by Production Line
2 had a mean weight of 20.047 ounces with a standard deviation of 0.033
ounce. Let ₁ be the population mean weight of boxes filled by Production Line
1, and let ₂ be the population mean weight of boxes filled by Production Line 2.
The manager used the alternative hypothesis Ha: 1 - 2> 0. If the test
statistic is t≈ 1.97 with 78 degrees of freedom, what is the p-value for this
hypothesis test?
0.05 0.025 0.01 0.005
1.294
1.667 1.994 2.381 2.648
1.294
1.667 1.994 2.380
2.647
1.293 1.666 1.993 2.379
2.646
1.293 1.666
1.993 2.379
2.645
1.293 1.666
1.993 2.378 2.644
1.293 1.665 1.992 2.377
2.643
2.642
1.293 1.665
1.293
1.292 1.665 1.991
1.992 2.376
1.665 1.991 2.376
2.375
2.641
2.640
2.374
2.640
1.292 1.664 1.990
1.292 1.664 1.990
2.374 2.639
Select the correct answer below:
p-value < 0.01
0.025<p-value < 0.05
0.05 <p-value < 0.10
p-value > 0.10
Transcribed Image Text:Probability Degrees of Freedom 70 71 72 73 74 75 76 77 78 79 80 0.10 The quality manager at a breakfast cereal producer claimed that one of the two production lines in the factory, Production Line 1, was over-filling the boxes compared to Production Line 2. A random sample of 40 boxes produced by Production Line 1 had a mean weight of 20.062 ounces with a standard deviation of 0.035 ounce. A sample of 40 boxes produced by Production Line 2 had a mean weight of 20.047 ounces with a standard deviation of 0.033 ounce. Let ₁ be the population mean weight of boxes filled by Production Line 1, and let ₂ be the population mean weight of boxes filled by Production Line 2. The manager used the alternative hypothesis Ha: 1 - 2> 0. If the test statistic is t≈ 1.97 with 78 degrees of freedom, what is the p-value for this hypothesis test? 0.05 0.025 0.01 0.005 1.294 1.667 1.994 2.381 2.648 1.294 1.667 1.994 2.380 2.647 1.293 1.666 1.993 2.379 2.646 1.293 1.666 1.993 2.379 2.645 1.293 1.666 1.993 2.378 2.644 1.293 1.665 1.992 2.377 2.643 2.642 1.293 1.665 1.293 1.292 1.665 1.991 1.992 2.376 1.665 1.991 2.376 2.375 2.641 2.640 2.374 2.640 1.292 1.664 1.990 1.292 1.664 1.990 2.374 2.639 Select the correct answer below: p-value < 0.01 0.025<p-value < 0.05 0.05 <p-value < 0.10 p-value > 0.10
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