Question

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

Answer 1

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

Answer 2

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

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

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