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Lemur [1.5K]
3 years ago
5

The next number in the series 13, 18, 16, 21, 19, is:   22 23 24 25 26 ...?

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0
I think the best option is 24.

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A random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used. A survey of 500 randomly selecte
vodka [1.7K]

Answer:

We conclude that the mean Ohio score is below the national average.

Step-by-step explanation:

We are given that a random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used.

A survey of 500 randomly selected Ohio scores showed a mean of 20.8. The population standard deviation is 3.

<u><em>Let </em></u>\mu<u><em> = mean Ohio scores.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 21.1      {means that the mean Ohio score is above or equal the national average}

Alternate Hypothesis, H_A : \mu < 21.1      {means that the mean Ohio score is below the national average}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about population standard deviation;

                    T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n}}}  ~ N(0,1)

where, \bar X = sample mean Ohio score = 20.8

            \sigma = population standard deviation = 3

            n = sample of Ohio = 500

So, <u><em>test statistics</em></u>  =  \frac{20.8-21.1}{\frac{3}{\sqrt{500}}}  

                              =  -2.24

The value of z test statistics is -2.24.

<em>Now, at 0.1 significance level the z table gives critical value of -1.2816 for left-tailed test.</em><em> Since our test statistics is less than the critical values of z as -2.24 < 1.2816, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the mean Ohio score is below the national average.

4 0
3 years ago
Excel computes a two‑sample confidence interval for the difference in proportions just as well and as easily as Minitab and othe
True [87]

Answer:

See ecplanation below

Step-by-step explanation:

False.

On the Data analysis tool from excel we can conduct the following procedures:

Anova: Single Factor

Anova: Two factor with replication

Anova: Two factor without replication

Correlation

Covariance

Descriptive statistics

Exponential smoothing

F-test Two sample for Variances

Fourier analysis

Histogram

Moving Average

Random number generation

Rank and percentile

Regression

Sampling

t test: Paired two sample for means

t tes: Two sample assuming equal variances

t test: Two sample Assuming Unequal Variances

z test: Two sample for means

And as we can see we don't have an specific procedure just to obtain confidence interval for the difference of proportions. We need to remember that if we select a z test in excel, for example the output will contain the confidence associated to the parameter, but for this case is not too easy obtain a confidence interval for the difference of proportion like on a statistical software as (Minitab, R, SAS, etc) since all of these statistical softwares are elaborated in order to conduct all the possible statistical tests and confidence intervals for parameters of interest.

5 0
3 years ago
The fictional rocket ship Adventure is measured to be 65 m long by the ship's captain inside the rocket.When the rocket moves pa
Gwar [14]

Answer:

a) t₀ =  1.73205 s

b) 1.0 C

Step-by-step explanation:

(A)

The time dilation (t) observed by an observer at rest relative to the time (t₀) measured by observer in motion is;

t = \frac{t_0}{\sqrt{1 - \frac{V^2}{C^2}}}

t_0 = t \sqrt{1 - \frac{V^2}{C^2}} time measured by captain

⇒ t_0 = 2.0 \sqrt{1 - \frac{0.5^2C^2}{C^2}}             V = 0.5 c

⇒ t₀ =  1.73205 s

(B)

Speed of the light never exceeds by its real value. The speed of the light in any frame of reference is constant.

∵ It will be "1.0C" or just "C"

7 0
3 years ago
Question in the picture!
Aleonysh [2.5K]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
7. Agrupa para sumar.<br>-5 +8 +(-2)​
Brums [2.3K]

Answer:

Obtendrías 1

Step-by-step explanation:

Primero resta 5 de 8 para obtener 3,

luego reste por 2 para obtener 1

¡Espero eso ayude!

6 0
3 years ago
Read 2 more answers
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