A chemist made eight independent measurements of the melting point of tungsten. She obtained a sample mean

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A chemist made eight independent measurements of the melting point of tungsten. She obtained a sample mean of 3410.14 degrees Celsius and a sample standard deviation of 1.018 degrees.

a. Use the Student’s t distribution to find a 95% confidence interval for the melting point of tungsten.

b. Use the Student’s t distribution to find a 98% confidence interval for the melting point of tungsten.

c. If the eight measurements had been 3409.76, 3409.80, 3412.66, 3409.79, 3409.76, 3409.77, 3409.80, 3409.78, would the confidence intervals above be valid? Explain.

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