Can someone tell me if this adjacent , vertical or linear

Ugo [173]

The answer would be (F) 14

8 0

3 years ago

An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than

Sedbober [7]

Testing the hypothesis, it is found that:

a)

The null hypothesis is: $H_0: \mu \leq 10$

The alternative hypothesis is: $H_1: \mu > 10$

b)

The critical value is: $t_c = 1.74$

The decision rule is:

If t < 1.74, we do not reject the null hypothesis.
If t > 1.74, we reject the null hypothesis.

c)

Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

Item a:

At the null hypothesis, it is tested if the mean loss is of at most 10 pounds, that is:

$H_0: \mu \leq 10$

At the alternative hypothesis, it is tested if the mean loss is of more than 10 pounds, that is:

$H_1: \mu > 10$

Item b:

We are having a right-tailed test, as we are testing if the mean is more than a value, with a significance level of 0.05 and 18 - 1 = 17 df.

Hence, using a calculator for the t-distribution, the critical value is: $t_c = 1.74$ .

Hence, the decision rule is:

If t < 1.74, we do not reject the null hypothesis.
If t > 1.74, we reject the null hypothesis.

Item c:

We have the standard deviation for the sample, hence the t-distribution is used. The test statistic is given by:

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

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
s is the standard deviation of the sample.
n is the sample size.

For this problem, we have that:

$\overline{x} = 10.8, \mu = 10, s = 2.4, n = 18$

Thus, the value of the test statistic is:

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

$t = \frac{10.8 - 10}{\frac{2.4}{\sqrt{18}}}$

$t = 1.41$

Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

A similar problem is given at brainly.com/question/25147864

3 0

3 years ago

In the soccer games so far this season, Letty has had 15 goals in 20 attempts at a goal. What is the probability, expressed as a

Inga [223]

20 is 1/5 of 100 so do 20x5=100 and 15x5=75

So there is a 75% chance she will make the goal

6 0

3 years ago

Read 2 more answers

What is 1 and 1/4% of 200?

arsen [322]

5/4 • 200/1, 1000/4
which is 250

250 is 1 1/4 of 200

4 0

3 years ago

100m In 9 3/5 seconds

Nostrana [21]

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9 $\frac{3}{5}$ secs

1) First, we need to convert the mixed number 9 $\frac{3}{5}$ to an improper fraction.

Method to convert a mixed number to an improper fraction

 $a\frac{b}{c} = \frac{c*a+b}{c}$ 

Applying the above formula, we get

9 $\frac{3}{5}$ = $\frac{5*9+3}{5}$

= $\frac{45+3}{5}$

= $\frac{48}{5}$

2) Now we need to convert $\frac{48}{5}$ into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = $\frac{Distance}{Time taken}$

Plugging the values of Distance and Time taken into the formula, we get

Speed = $\frac{100}{9.6}$

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

4 0

3 years ago