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3 years ago

Find the mean of 17, 11, 5, 25, 22

Mathematics

2 answers:

lyudmila [28]3 years ago

8 0

Answer:

the mean is 16

BabaBlast [244]3 years ago

6 0

Answer:

Step-by-step explanation:

Step 1 - Add all of the numbers up:

$17 + 11 + 5 + 25 + 22 = 80$

Step 2 - Divide by how many numbers there are:

$\frac{80}{5} = 16$

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2 years ago

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A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were de

olga2289 [7]

Answer:

Se=1.2

Step-by-step explanation:

The standard error is the standard deviation of a sample population. "It measures the accuracy with which a sample represents a population".

The central limit theorem (CLT) states "that the distribution of sample means approximates a normal distribution, as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population distribution shape"

The sample mean is defined as:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

And the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

Let X denotes the random variable that measures the particular characteristic of interest. Let, X1, X2, …, Xn be the values of the random variable for the n units of the sample.

As the sample size is large,(>30) it can be assumed that the distribution is normal. The standard error of the sample mean X bar is given by:

$Se=\frac{\sigma}{\sqrt{n}}$

If we replace the values given we have:

$Se=\frac{12}{\sqrt{100}}=1.2$

So then the distribution for the sample mean $\bar X$ is:

$\bar X \sim N(\mu=80,Se=1.2)$

5 0

3 years ago

A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were r

fomenos

Answer: A.

$H_0:p=0.12\\\\H_a:p$

Step-by-step explanation:

Null hypothesis $(H_0)$ : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.

Alternative hypothesis $(H_a)$ : A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process reduces the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

$H_0:p=0.12\\\\H_a:p$

8 0

2 years ago

The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The

otez555 [7]

Answer:

empirical rule: 81.5%

table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

z = (35,000 -30,000)/5,000 = 1

Empirical rule solution

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

(100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

Calculator solution

A probability calculator for the Normal distribution tells you that ...

P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0

2 years ago

Find the mean of 17, 11, 5, 25, 22​

Find the mean of 17, 11, 5, 25, 22