1- Suppose the annual maximum stream flow of a given river has been observed for 10 years yielding the following statistics: Sample mean: 105 m³\h Sample variance: 9x10³ (m³\h)² (a) Establish the two-sided 90% confidence interval on the mean annual maximum stream flow. Assume a normal population. (b) If the desired to estimate the mean annual maximum stream flow to within +30000 m³/h with 90% confidence, how many additional years of observation will be required? Assume the sample variance based on the new set of data will be approximately 9x10³ (m³\h)².

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1- Suppose the annual maximum stream flow of a given river has been observed for 10
years yielding the following statistics:
Sample mean: 106 m³/h
Sample variance: 9x108 (m³\h)²
(a) Establish the two-sided 90% confidence interval on the mean annual maximum
stream flow. Assume a normal population.
(b) If the desired to estimate the mean annual maximum stream flow to within
+30000 m³\h with 90% confidence, how many additional years of observation will
be required? Assume the sample variance based on the new set of data will be
approximately 9x108 (m³\h)².
Transcribed Image Text:1- Suppose the annual maximum stream flow of a given river has been observed for 10 years yielding the following statistics: Sample mean: 106 m³/h Sample variance: 9x108 (m³\h)² (a) Establish the two-sided 90% confidence interval on the mean annual maximum stream flow. Assume a normal population. (b) If the desired to estimate the mean annual maximum stream flow to within +30000 m³\h with 90% confidence, how many additional years of observation will be required? Assume the sample variance based on the new set of data will be approximately 9x108 (m³\h)².
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