0.00084 in scientific notation

A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decre

Dmitry [639]

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:

$H_0: \mu_1 - \mu_2 = 0$

At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:

$H_1: \mu_1 - \mu_2 \neq 0$

Two groups of 22 patients, hence, the standard errors are:

$s_1 = \frac{45.1}{\sqrt{22}} = 9.6154$

$s_2 = \frac{26.4}{\sqrt{22}} = 5.6285$

The distribution of the differences is has:

$\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$t = \frac{25 - 0}{11.14}$

$t = 2.2438$

The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.

Using a t-distribution calculator, this p-value is of 0.0302.

Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at brainly.com/question/25600813

4 0

3 years ago

Will give brainliest answer

ArbitrLikvidat [17]

Answer:

180°

Step-by-step explanation:

Connecting any point of original figure with the same of the image

For example point C with C'

The line goes through the origin (0, 0)

And the coordinates changed as:

(x, y) → (-x, -y)

It means the rotation is 180°

4 0

3 years ago

The Ray family went out to dinner The price of the meal was $38.95 The sales tax was 7% of the price of the meal. The tip was 18

Andrews [41]

Answer:

$49.18

Step-by-step explanation:

Dinner cost $38.95 before tax and tip are included.

Directions say to ADD 7% tip first so,

38.95 multiplied by 7%= 2.7265, Round up to $2.73

ADD $38.95 and $2.73 tax= $41.68

Now, multiply $41.68 by 18% to find the tip amount

$41.68 * 18%= 7.5024, Round to $7.50

ADD $41.68 and $7.50 to get answer: $49.18

4 0

3 years ago

What is this one i cant seem to figure it out

pshichka [43]

Answer:

73

Step-by-step explanation:

Since DA is the diameter, this means that you can divide the circle into two half-circles. You will solve with the right half-circle. A half-circle has a 180 total degrees. Add up the values given and solve for x.

(2x) + (7x - 4) + (85) = 180

2x + 7x - 4 + 85 = 180

9x - 4 + 85 = 180

9x + 81 = 180

9x = 99

x = 11

Now that you have the value of x, solve for m∠CZB.

m∠CZB = 7x - 4

m∠CZB = 7(11) - 4

m∠CZB = 77 - 4

m∠CZB = 73

6 0

3 years ago

7.875 rounded to the nearest tenth

IRISSAK [1]

Find the number in the tenth place
8
8
and look one place to the right for the rounding digit
7
7
. Round up if this number is greater than or equal to
5
5
and round down if it is less than
5
5
.
7.9

5 0

2 years ago

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