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Comprehension:
Direction: Based on the following information, answer the questions.
For an experiment, a sample of 25 observations from normal distribution with mean 98.6 and s.d. 17.2 was selected. Answer the following questions:
What is P(92 <  < 102)?
  • a)
    0.8115
  • b)
    0.8741
  • c)
    0.7856
  • d)
    0.8834
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Comprehension:Direction: Based on the following information, answer th...
Concept:
If a random sample of size n is taken from a population with mean μ and s.d. σ, then the sample distribution of X (sample mean) has a mean equal to population mean i.e., μ and a s.d. σM
Therefore,  follows standard normal distribution.
Calculation:
We have μ = 98.6, σM=2.86
⇒ - 1.918 < Z < 0.988
= P(- 1.918 < Z < 0.988)
= FZ(0.988) − FZ(−1.918)
= 0.3389 + 0.4726
= 0.8115
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Most Upvoted Answer
Comprehension:Direction: Based on the following information, answer th...
Concept:
If a random sample of size n is taken from a population with mean μ and s.d. σ, then the sample distribution of X (sample mean) has a mean equal to population mean i.e., μ and a s.d. σM
Therefore,  follows standard normal distribution.
Calculation:
We have μ = 98.6, σM=2.86
⇒ - 1.918 < Z < 0.988
= P(- 1.918 < Z < 0.988)
= FZ(0.988) − FZ(−1.918)
= 0.3389 + 0.4726
= 0.8115
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Comprehension:Direction: Based on the following information, answer the questions.For an experiment,a sample of 25 observations from normal distribution with mean 98.6 and s.d. 17.2 was selected. Answer the following questions:What is P(92 << 102)?a)0.8115b)0.8741c)0.7856d)0.8834Correct answer is option 'A'. Can you explain this answer? for ACT 2026 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about Comprehension:Direction: Based on the following information, answer the questions.For an experiment,a sample of 25 observations from normal distribution with mean 98.6 and s.d. 17.2 was selected. Answer the following questions:What is P(92 << 102)?a)0.8115b)0.8741c)0.7856d)0.8834Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for ACT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Comprehension:Direction: Based on the following information, answer the questions.For an experiment,a sample of 25 observations from normal distribution with mean 98.6 and s.d. 17.2 was selected. Answer the following questions:What is P(92 << 102)?a)0.8115b)0.8741c)0.7856d)0.8834Correct answer is option 'A'. Can you explain this answer?.
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