A metallurgist has an unidentified metal substance. To test the substance, the metallurgist takes twenty samples and determines the boiling temperature of each sample with the following results. Temperature is measured in Kelvins. Assume a standard deviation of ? = 8.4 ?. Assume a normal distribution. 31143177294630493106310431313184329329862985293630493114313428532986301629981914 Construct a 90% confidence interval to estimate the mean boiling temperature of the substance. State values to one decimal place. Write a sentence to interpret the confidence interval constructed in part (a) in the context of the problem statement. Use the guidelines established in class.The metallurgist suspected that the substance is Scandium. Scandium has a boiling temperature of 3109 K. Does the confidence interval give evidence to support the metallurgist preliminary identification? BRIEFLY explain using the confidence interval. Circle: Yes No Brief Explanation:

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Description: A metallurgist has an unidentified metal substance. To test the substance, the metallurgist takes twenty samples and determines the boiling temperature of each sample with the following results. Temperature is measured in Kelvins. Assume a standard

According to the given sum, A metallurgist has an unidentified metal substance. To test the…

Answered: 4 2853 2986 3016 2998 1914…

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A metallurgist has an unidentified metal substance. To test the substance, the metallurgist takes twenty samples and determines the boiling temperature of each sample with the following results. Temperature is measured in Kelvins. Assume a standard deviation of ? = 8.4 ?. Assume a normal distribution.

3114	3177	2946	3049	3106	3104	3131	3184	3293	2986
2985	2936	3049	3114	3134	2853	2986	3016	2998	1914

Construct a 90% confidence interval to estimate the mean boiling temperature of the substance. State values to one decimal place.

Write a sentence to interpret the confidence interval constructed in part (a) in the context of the problem statement. Use the guidelines established in class.
The metallurgist suspected that the substance is Scandium. Scandium has a boiling temperature of 3109 K. Does the confidence interval give evidence to support the metallurgist preliminary identification? BRIEFLY explain using the confidence interval.

Circle: Yes No

Brief Explanation:

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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