Home/Mathematics/17+ There are two production lines of eatable "Strawberry Jelly" jars. Each bottle in the production line needs to be filled in with atleast 18 ounces of jelly. Each production line is well calibrated to fill the correct amount of jelly in the jars. However, the production manager has filed at least 3 complaints that the weight of the content in the jelly jars does NOT match between the two production lines. To investigate, you have taken 50 data points from each production line. You decide to perform a 2-Samplet test. Based on the given output of 2-Sample t tests, please select the correct conclusion. * Two-Sample T-Test and Cl: Production Line 1, Production Line 2 Two-sample I for Production Line 1 vs Production line 2 Mean StDev SE Mean Production Line 1 50 18.78 Production Line 2 50 18.03 2.15 0.30 Difference = m (Production Line 1) - mu (Production Line 2) Estimate for difference: 0.750 95% CI for difference: (-0.717, 2.218) I-Iest of difference - 0 (vs not -): I-Value - 1.02 -Value - 0.311 DF - 68 Since p-value is > 005, it is concluded with a confidence level of 95% > , a % that the weight of the content in the jelly jars in Production Line 1 is significantly different than the weight of the content in Production Line 2 Since p-value is > 0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is NOT significantly different than the weight of the content in Production Line 2 Since p-value is <0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is significantly different than the weight of the content in Production Line 2 U Since p-value is <0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is NOT significantly different than the weight of the content in Production Line 2

Question Solved1 Answer 17+ There are two production lines of eatable "Strawberry Jelly" jars. Each bottle in the production line needs to be filled in with atleast 18 ounces of jelly. Each production line is well calibrated to fill the correct amount of jelly in the jars. However, the production manager has filed at least 3 complaints that the weight of the content in the jelly jars does NOT match between the two production lines. To investigate, you have taken 50 data points from each production line. You decide to perform a 2-Samplet test. Based on the given output of 2-Sample t tests, please select the correct conclusion. * Two-Sample T-Test and Cl: Production Line 1, Production Line 2 Two-sample I for Production Line 1 vs Production line 2 Mean StDev SE Mean Production Line 1 50 18.78 Production Line 2 50 18.03 2.15 0.30 Difference = m (Production Line 1) - mu (Production Line 2) Estimate for difference: 0.750 95% CI for difference: (-0.717, 2.218) I-Iest of difference - 0 (vs not -): I-Value - 1.02 -Value - 0.311 DF - 68 Since p-value is > 005, it is concluded with a confidence level of 95% > , a % that the weight of the content in the jelly jars in Production Line 1 is significantly different than the weight of the content in Production Line 2 Since p-value is > 0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is NOT significantly different than the weight of the content in Production Line 2 Since p-value is <0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is significantly different than the weight of the content in Production Line 2 U Since p-value is <0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is NOT significantly different than the weight of the content in Production Line 2

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Transcribed Image Text: 17+ There are two production lines of eatable "Strawberry Jelly" jars. Each bottle in the production line needs to be filled in with atleast 18 ounces of jelly. Each production line is well calibrated to fill the correct amount of jelly in the jars. However, the production manager has filed at least 3 complaints that the weight of the content in the jelly jars does NOT match between the two production lines. To investigate, you have taken 50 data points from each production line. You decide to perform a 2-Samplet test. Based on the given output of 2-Sample t tests, please select the correct conclusion. * Two-Sample T-Test and Cl: Production Line 1, Production Line 2 Two-sample I for Production Line 1 vs Production line 2 Mean StDev SE Mean Production Line 1 50 18.78 Production Line 2 50 18.03 2.15 0.30 Difference = m (Production Line 1) - mu (Production Line 2) Estimate for difference: 0.750 95% CI for difference: (-0.717, 2.218) I-Iest of difference - 0 (vs not -): I-Value - 1.02 -Value - 0.311 DF - 68 Since p-value is > 005, it is concluded with a confidence level of 95% > , a % that the weight of the content in the jelly jars in Production Line 1 is significantly different than the weight of the content in Production Line 2 Since p-value is > 0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is NOT significantly different than the weight of the content in Production Line 2 Since p-value is <0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is significantly different than the weight of the content in Production Line 2 U Since p-value is <0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is NOT significantly different than the weight of the content in Production Line 2
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Transcribed Image Text: 17+ There are two production lines of eatable "Strawberry Jelly" jars. Each bottle in the production line needs to be filled in with atleast 18 ounces of jelly. Each production line is well calibrated to fill the correct amount of jelly in the jars. However, the production manager has filed at least 3 complaints that the weight of the content in the jelly jars does NOT match between the two production lines. To investigate, you have taken 50 data points from each production line. You decide to perform a 2-Samplet test. Based on the given output of 2-Sample t tests, please select the correct conclusion. * Two-Sample T-Test and Cl: Production Line 1, Production Line 2 Two-sample I for Production Line 1 vs Production line 2 Mean StDev SE Mean Production Line 1 50 18.78 Production Line 2 50 18.03 2.15 0.30 Difference = m (Production Line 1) - mu (Production Line 2) Estimate for difference: 0.750 95% CI for difference: (-0.717, 2.218) I-Iest of difference - 0 (vs not -): I-Value - 1.02 -Value - 0.311 DF - 68 Since p-value is > 005, it is concluded with a confidence level of 95% > , a % that the weight of the content in the jelly jars in Production Line 1 is significantly different than the weight of the content in Production Line 2 Since p-value is > 0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is NOT significantly different than the weight of the content in Production Line 2 Since p-value is <0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is significantly different than the weight of the content in Production Line 2 U Since p-value is <0.05, it is concluded with a confidence level of 95% that the weight of the content in the jelly jars in Production Line 1 is NOT significantly different than the weight of the content in Production Line 2
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SOLUTION: CORRECT OPTION IS&#160; [B], Since p value is greater than 0.05 , it is conlcude with confidence level of &#160;95% that the weight of the content on the jelly jars in production line 1 NOT significantly different than wieght of the content in prodcution line 2 &#160; JUSTIFICATION:&#160; Here from output they have used Test for testing , Null hypothesis: Weight of containt in jelly jar of&#160;production line 1 &amp; productio ... See the full answer

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