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10 November, 16:24

You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. The study is reported with 90% confidence level. Explain how to determine if 48.8 is within the confidence interval.

CL (%); 90, 95, 99

z*score:1.645, 1.96, 2.58

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  1. 10 November, 16:34
    0
    To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size.

    The z*-score for a 90% confidence level is 1.645. The margin of error is 0.20.

    The confidence interval is 48.3 to 48.7.

    48.8 is not within the confidence interval.
  2. 10 November, 16:49
    0
    To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size. The z*-score for a 90% confidence level is 1.645. The margin of error is 0.20. The confidence interval is 48.3 to 48.7.48.8 is not within the confidence interval.
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Home » Mathematics » You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. The study is reported with 90% confidence level. Explain how to determine if 48.8 is within the confidence interval. CL (%); 90, 95, 99 z*score:1.645, 1.
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