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any approach convenient to you An electrical company claims that the lives of the light bulbs it manufactures are normally distributed with a mean of 1,000 hours and a standard deviation of 100 hours. Test if the sample mean is significantly different from 1000 hours, if a random sample of 100 bulbs produced by this company has a mean life of 980 hours. Use 0.05 level of significance. WS 7b-1 Null Hypothesis Level of Significance Data 11- Sample Size Sample Mean Sample Standard Deviation Intermediate Calculations Standard Error of the Mean Z Test Statistic Two-Tail Test Lower Critical Value Upper Critical Value n-Value 10 -2 5-Step Solution 1000 0.05 100 980 100 2.ap-Value: 2-T non-directional. 3. Decision Rule: Reject H, if p-Value -) = a(0.05). -1.959962787 1.959962787 0.045500124 a. H.p HEA 4. Decision: because. 5. Conclusion:

any approach convenient to you An electrical company claims that the lives of the light bulbs it manufactures are normally distributed with a mean of 1,000 hours and a standard deviation of 100 hours. Test if the sample mean is significantly different from 1000 hours, if a random sample of 100 bulbs produced by this company has a mean life of 980 hours. Use 0.05 level of significance. WS 7b-1 Null Hypothesis Level of Significance Data 11- Sample Size Sample Mean Sample Standard Deviation Intermediate Calculations Standard Error of the Mean Z Test Statistic Two-Tail Test Lower Critical Value Upper Critical Value n-Value 10 -2 5-Step Solution 1000 0.05 100 980 100 2.ap-Value: 2-T non-directional. 3. Decision Rule: Reject H, if p-Value -) = a(0.05). -1.959962787 1.959962787 0.045500124 a. H.p HEA 4. Decision: because. 5. Conclusion:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Write the 5-step solutions for each of the following problems. You can use any approach convenient to you. 1. An electrical company claims that the lives of the light bulbs it manufactures are normally distributed with a mean of 1,000 hours and a standard deviation of 100 hours. Test if the sample mean is significantly different from 1000 hours, if a random sample of 100 bulbs produced by this company has a mean life of 980 hours. Use 0.05 level of significance. WS 7b-1 Null Hypothesis Level of Significance Data P= Sample Size Sample Mean Sample Standard Deviation Intermediate Calculations Standard Error of the Mean Z Test Statistic Two-Tail Test Lower Critical Value Upper Critical Value p-Value Reject the null hypothesis 1000 0.05 100 980 100 10 -2 -1.959962787 1.959962787 0.045500124 Method A Method B 5-Step Solution 1. H. HA 2. a p-Value: 2-T non-directional. 3. Decision Rule: Reject H, if p-Value -) ≤ a(0.05). 4. Decision: because 5. Conclusion: 2. An instructor wishes to determine which of two methods of teaching is more effective in teaching a certain concept in Statistics. In a class of 36 students, he used Method A and in another class of 40 students he used Method B. At the end of the lesson, he gave the two classes the same examination and obtained the following results: H₁ =78 H₂ = 70 0₁ = 4 7₂ = 6 Is he correct in assuming that Method A is more effective than Method B? Use 0.01 level. Fill in the PHStat. dialog box using the given data in the problem. The p-value is given in Exponential form "2.63E-12". In normal form it is 0.00000000000263, or just write p-Value - 0. Fill in the PHStat dialog box of the values from the problem, and then write the 5-step solution. The p-Value is already given.
Transcribed Image Text:Write the 5-step solutions for each of the following problems. You can use any approach convenient to you. 1. An electrical company claims that the lives of the light bulbs it manufactures are normally distributed with a mean of 1,000 hours and a standard deviation of 100 hours. Test if the sample mean is significantly different from 1000 hours, if a random sample of 100 bulbs produced by this company has a mean life of 980 hours. Use 0.05 level of significance. WS 7b-1 Null Hypothesis Level of Significance Data P= Sample Size Sample Mean Sample Standard Deviation Intermediate Calculations Standard Error of the Mean Z Test Statistic Two-Tail Test Lower Critical Value Upper Critical Value p-Value Reject the null hypothesis 1000 0.05 100 980 100 10 -2 -1.959962787 1.959962787 0.045500124 Method A Method B 5-Step Solution 1. H. HA 2. a p-Value: 2-T non-directional. 3. Decision Rule: Reject H, if p-Value -) ≤ a(0.05). 4. Decision: because 5. Conclusion: 2. An instructor wishes to determine which of two methods of teaching is more effective in teaching a certain concept in Statistics. In a class of 36 students, he used Method A and in another class of 40 students he used Method B. At the end of the lesson, he gave the two classes the same examination and obtained the following results: H₁ =78 H₂ = 70 0₁ = 4 7₂ = 6 Is he correct in assuming that Method A is more effective than Method B? Use 0.01 level. Fill in the PHStat. dialog box using the given data in the problem. The p-value is given in Exponential form "2.63E-12". In normal form it is 0.00000000000263, or just write p-Value - 0. Fill in the PHStat dialog box of the values from the problem, and then write the 5-step solution. The p-Value is already given.
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