Q1. Explain what happens to the 95 % confidence interval as the sample size increases. Explain what...

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Statistics

Q1.

  1. Explain what happens to the 95 % confidence interval as thesample size increases.
  2. Explain what happens to the width of the confidence intervalfor a 99% interval versus a 95%.

Q2. Consider the population of adult females resident inMelbourne. Our focus is on the population mean height. Assume we donot know ? (population standard deviation) or thepopulation mean, µ. We take a sample of adult females resident inMelbourne (n=100) and calculate the sample mean height as 70 cm andthe sample standard deviation as 25cm.

  1. Derive the 95% confidence interval for the population mean
  2. Compare your interval here and last week – which is larger andwhy?

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Q1 i We know the margin error for the confidence interval iswhen population standard deviation is known Here n is the samplesize O clearly when n increses the margin error part    See Answer
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