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Statistic Assignment.    Title: Confidence Intervals 1.459 randomly selected light bulbs were tested in a laboratory, 291 lasted more than 500 hours.  Find a point estimate of the true proportion of all light bulbs that last more than 500 hours.2.  Find the critical value for zα/2 that corresponds to a degree of confidence of 98%.3. Find the margin of error for the 95% confidence interval used to estimate the population proportion with n = 163 and x = 96.4.  Construct the confidence interval for question 3.5. Interpret the confidence interval found in question 4.6.  What are the requirements for a Student’s t-distribution?7.  Find the critical value for tα/2  corresponding to n = 12 and 95% confidence level.8.  Use the confidence level and sample data to find the margin of error E.                College students’ annual earnings:                99% confidence, n = 81,  = $3967, s = $8749.  Construct the confidence interval for question 8 above.10. Interpret and describe the confidence obtained in question 9 in non-technical terms.

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