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:

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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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