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Alina [70]
3 years ago
7

In a test of physical fitness, a group of men ages 65 and older from a local

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
7 0

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 = ∑\frac{x_{i} }{N}, where:

x is sample mean;

x_{i} is each of the values;

N is the quantity the sample has;

From the given data, N = 16, so,

x = \frac{24+25+10+23+18+29+47+32+19+24+20+28=21+20+27+25}{16}

x = 24.5

The sample mean is x = 24.5

seraphim [82]3 years ago
6 0

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:

z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n} } }

The population mean,  µ = 20

The sample mean, \bar{x} = \frac{\sum x}{n}

n = 16

\bar {x} = \frac{24 + 25 + 10 + 23 + 18 + 29 + 47 + 32 + 19+24+20+28+21+20+27+25}{16}

\bar {x} = \frac{392}{16} \\\bar {x} = 24.5

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