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STA1010 - Statistical methods for science - S2 2025

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Find the necessary sample size.

Weights of women in one age group are normally distributed with a standard deviation of 10.43 kg. A researcher wishes to estimate the mean weight of all women in this age group.

Find how large a sample must be drawn in order to be 95% confident (use z=2) that the sample mean will not differ from the population mean by more than 1.30 kg.

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Use the given sample data to construct the indicated confidence interval for the population mean.

The principal randomly selected six students to take an aptitude test. Their scores were:

71.6, 81.0, 88.9, 80.4, 78.1, 72.0

Determine a 95% confidence interval for the mean score for all students.

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To calculate a 90% confidence interval for a mean, from a sample of 26 data values, the required t-value for the multiplier would be

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Use the given sample data to construct the indicated confidence interval for the population mean.

n = 12, x_= 28.0, s = 5.7

Find a 99% confidence interval for the mean.

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Based on a sample of 30 randomly selected years, a 90% confidence interval for the mean annual precipitation in one city is

from 123.7 cm to 129.5 cm

Determine the margin of error involved in this confidence interval.

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To calculate a 95% confidence interval for a mean, using a sample of 10 data values, the required t-multiplier, correct to 3 decimal places, would be

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Which of the following statements is the most accurate interpretation of the following confidence interval.

Analysis of a random sample of 250 nurses in Victoria produced a 95% confidence interval for the mean annual salary of nurses as

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In a standard Normal model, state what value(s) of z cuts off the described region:

the highest 7%

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