The concentration of platinum in a necklace is 7%. The necklace weighs 16 g. Find the amount of platinum in the necklace.
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Answer:
Answer: The 95% confidence interval for the mean of x is (94.08, 101.92) .
Step-by-step explanation:
We are given that ,
A random variable x has a Normal distribution with an unknown mean and a standard deviation of 12.
i.e.
Also, it is given that , Sample mean having sample size : n= 36
For 95% confidence ,
Significance level :
By using the z-value table , the two-tailed critical value for 95% Confidence interval :
We know that the confidence interval for unknown population mean is given by :-
, where = Sample mean
= Population standard deviation
= Critical z-value.
Substitute all the given values, then the required confidence interval will be :
Therefore, the 95% confidence interval for the mean of x is (94.08, 101.92) .