Please someone help me asap!
1 answer:
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Answer:
Upper limit 150
Lower bond 136
Step-by-step explanation:
Hello!
The study variable is:
X: measurement of IQ of a statistic instructor.
This variable has a normal distribution:
X~N(μ; σ²)
And the population standard deviation is known σ= 16
You need to construct a confidence interval for the population mean, for this, since the variable has a normal distribution and the population variance is known, the statistic to use is the standard normal
Z= X[bar] - μ ~N(0;1)
σ/√n
The formula for the interval is:
X[bar] ± *
Where
X[bar] is the sample mean
is the value under the Z distribution for the corresponding confidence level.
S is the population standard deviation. (should be sigma but it doesn't recognize the symbol)
[143 ± 1.96 * ]
[135,988; 150. 012] ≅ [136; 150]
I hope it helps!