Construct a 90% confidence interval for 𝜇 if a random sample of size n = 30 results in a sample mean = 45 and s = 2.2. The value of 𝜎 is unknown.

Question

Construct a 90% confidence interval for 𝜇 if a random sample of size n = 30 results in a sample mean = 45 and s = 2.2. The value of 𝜎 is unknown.
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Solution 1

To construct a 90% confidence interval for the population mean (μ), we will use the formula for a confidence interval when the population standard deviation (σ) is unknown:

CI = x̄ ± t * (s/√n)

where:

  • x̄ is the sample mean
  • t is the t-score from the t-distribution table
  • s is the sample standa Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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