Q4 6 points) A chemist made eight independent measurements of the melting point

Question

Q4 6 points) A chemist made eight independent measurements of the melting point of tungsten. She obtained a sample means 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

Explanation / Answer

a) mean =3410.4 sd = 1.018

3410.14- t(0.025)*1.018/sqrt(8) , 3410.14+t(0.025)*1.018/sqrt(8)

=3410.14-2.365*1.018/sqrt(8) , 3410.14+2.365*1.018/sqrt(8)

=3409.28 , 3410.99

b) CI 98%

3410.14- t(0.01)*1.018/sqrt(8) , 3410.14+t(0.01)*1.018/sqrt(8)

= 3410.14-2.998*1.018/sqrt(8) , 3410.14+2.998*1.018/sqrt(8)

=3409.06 , 3411.21

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.