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snow_lady [41]
2 years ago
10

If the scores on a test have a mean of 26 and a standard deviation of 4, what is the z-score for a mean of 18?

Mathematics
1 answer:
levacccp [35]2 years ago
3 0
Z(x)=(x- mean) / standard deviation

Z(18)=(18-26)/4=-2
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Answer:

Explained below.

Step-by-step explanation:

A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.

A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

The matched pairs are as follows:

Population: 2. All Toyota Camry (2020 US) model cars.

Sample: 4. 117 Toyota Camry (2020 US) cars that are sampled.

Parameter: 7. The average mileage of all Toyota Camry (2020 US) model cars.

Statistics: 6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.

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2 years ago
The box plot shows the number of years during which 24 colleges have participated in a local college fair: A boxplot is titled Y
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its is actually 4

Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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Answer:

A and C

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations we can use it.  

And in order to conduct it we need to have some assumptions:

1) The dependent variable must be continuous (interval/ratio).

2) The observations are independent of one another.

3) The dependent variable should be approximately normally distributed.

4) The dependent variable should not contain any outliers.

Let's analyze one by one the options on this case:

A. The methods used to evaluate the mean of the differences between two dependent variables apply if one has 86 IQ scores of taxpayers from Texas and 86 IQ scores of taxpayers from Ohio

We can assume that is true since the two variables are dependent and we are assuming that all the other conditions are satisfied to use the t paired test.

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That's not neccesary true since is not a requirement in order to use the t pairedtest.

C. If one has more than 23 matched pairs of sample​ data, one can consider the sample to be large and there is no need to check for normality.

We can assume that is true since we need to ensure normality in order to apply the test and if the sample size is large enough large we can apply the test.

D. If one has twenty matched pairs of sample​ data, there is a loose requirement that the twenty differences appear to be from a normally distributed population.

False the requirement of normality is important to apply the test not a loose requirement.

E. If one wants to use a confidence interval to test the claim that mu Subscript d Baseline greater than 0 with a 0.01 significance​ level, the confidence interval should have a confidence level of 98​%.

That's not correct the significance level is \alpha=1-0.98=0.02 and that not correspond to the significance level given on this case.

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The height of a cone-shaped container is 15 centimeters and its radius is 14 centimeters. Kate fills the container completely wi
lesantik [10]
The volume of the cone with radius r=14 cm and height h=15 cm is,
V= \frac{1}{3}  \pi r^2h =  \frac{1}{3}  \pi *14^2*15 = 3077.2~cm^3

Each day 40 cm^3 is subtracted from the volume. So the volume of honey left after [d] number of days would be the starting volume minus 40 times number of days passed.
V left=V start-40*d
V left = 3077.2 - 40d

It asks when the volume will be empty, The volume left is zero after how many days?
0 = 3077.2 - 40d
d=76.93 days,  or 80 days rounding to whole numbers.
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