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Schach [20]
3 years ago
15

A baker regularly uses flour to make pastries for the bakery. At the beginning of the

Mathematics
1 answer:
Lynna [10]3 years ago
3 0

Answer:

87

Step-by-step explanation:

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A random sample of 64 items is selected from a population of 400 items. The sample mean is 200. The population standard deviatio
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Step-by-step explanation:

Given : Sample size : n= 64 , the sample is a large sample (n>30), so we can apply z-test.

Sample mean = \overline{x}=200

Standard deviation : \sigma=48

Level of confidence:1-\alpha=0.95

\Rightarrow\ \alpha=0.05

Then, critical z-value =z_{\alpha/2}=1.96

The  confidence interval to estimate the population mean is given by :_

\overline{x}\ \pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

=200\ \pm\ (1.96)\dfrac{48}{\sqrt{64}}\\\\=200\pm11.76=(200-11.76, 200+11.76)=(188.24,\ 211.76 )

Hence, the  95% confidence interval to estimate the population mean can be computed as (188.24,\ 211.76 ).

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