Respuesta :
Answer: x = 24.5
Step-by-step explanation: Sample mean is the average value of a fraction of the whole population. It is also an estimated of how or what the whole population is doing. To determine it, there is the following formula:
x = ∑[tex]\frac{x_{i} }{N}[/tex], where:
x is sample mean;
[tex]x_{i}[/tex] is each of the values;
N is the quantity the sample has;
From the given data, N = 16, so,
x = [tex]\frac{24+25+10+23+18+29+47+32+19+24+20+28=21+20+27+25}{16}[/tex]
x = 24.5
The sample mean is x = 24.5
Answer:
The sample mean = 24.5
Step-by-step explanation:
Solution:
Using the one sample z test
Since the test is a two tailed test
Null hypothesis, H₀: μ = 20.
Alternative hypothesis, Ha: µ ≠ 20
The test statistic formula is given by:
[tex]z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
The population mean, µ = 20
The sample mean, [tex]\bar{x} = \frac{\sum x}{n}[/tex]
n = 16
[tex]\bar {x} = \frac{24 + 25 + 10 + 23 + 18 + 29 + 47 + 32 + 19+24+20+28+21+20+27+25}{16}[/tex]
[tex]\bar {x} = \frac{392}{16} \\\bar {x} = 24.5[/tex]
