1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vinil7 [7]
3 years ago
12

Pedro is building a spice rack with four shows that are each 0.55 meters long

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
7 0
Overall, the total length of all the shelves is 2.2. I think that's what you mean?
You might be interested in
A nutritionist has developed a diet that she claims will help people lose weight. Twelve people were randomly selected to try th
deff fn [24]

The diet which is developed by the nutritionist is effective at the 0.05 level of significance. Claim is agreed.

<h3>When do we use two-sample t-test?</h3>

The two-sample t-test is used to determine if two population means are equal.

A nutritionist has developed a diet that she claims will help people lose weight. In this,

  • Twelve people were randomly selected to try the diet.
  • Their weights were recorded prior to beginning the diet and again after 6 months.

Here are the original weights, in pounds, with the weight after 6 months in parentheses.

  • Before 192 212 171 215 180 207 165 168 190 184 200 196
  • After    183 196  174 211 160 191   162 175 190  179  189 195

The mean of the weights before 6 moths is,

\overline X_1=\dfrac{192+ 212 +171 +215 +180 +207 +165 +168 +190 +184 +200 +196 }{12}\\\overline X_1=190

The mean of the weights after 6 months is,

\overline X_2=\dfrac{ 183 +196  +174 +211 +160 +191   +162 +175 +190  +179  +189 +195  }{12}\\\overline X_1=183.75

Standard deviation of both the data is 16.9 and 14.7.

1. Null and Alternative Hypotheses.

The following null and alternative hypotheses need to be tested:

\begin{array}{ccl} H_0: \mu_1 & = & \mu_2 \\\\ \\\\ H_a: \mu_1 & > & \mu_2 \end{array}

This corresponds to a right-tailed test, for which a t-test for two population means, with two independent samples, with unknown population standard deviations will be used.

  • (2) Rejection Region

Based on the information provided, the significance level is α=0.05 and the degrees of freedom are df = 22. In fact, the degrees of freedom are computed as follows, assuming that the population variances are equal:

df_{Total} = df_1 + df_2 = 11 + 11 = 22

Hence, it is found that the critical value for this right-tailed test is

t_c=1.717, for α=0.05 and df=22

The rejection region for this right-tailed test is,

R = \{t: t > 1.717\}

(3) Test Statistics

Since it is assumed that the population variances are equal, the t-statistic is computed as follows:

t = \displaystyle \frac{\bar X_1 - \bar X_2}{\sqrt{ \frac{(n_1-1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2}(\frac{1}{n_1}+\frac{1}{n_2}) } }

\displaystyle \frac{ 190 - 183.75}{\sqrt{ \frac{(12-1)16.9^2 + (12-1)14.7^2}{ 12+12-2}(\frac{1}{ 12}+\frac{1}{ 12}) } } = 0.967

  • (4) Decision about the null hypothesis

Since it is observed that t=0.967≤tc=1.717 it is then concluded that the null hypothesis is not rejected.

Using the P-value approach: The p-value is p=0.1721 and since p=0.1721≥0.05p = 0.1721  it is concluded that the null hypothesis is not rejected.

(5) Conclusion

It is concluded that the null hypothesis H₀ is not rejected. Therefore, there is not enough evidence to claim that the population mean μ1​ is greater than μ2​, at the α=0.05 significance level.

Confidence Interval

The 95% confidence interval is −7.16<μ<19.66

Thus, the diet which is developed by the nutritionist is effective at the 0.05 level of significance. Claim is agreed.

Learn more about the two-sample t-test here;

brainly.com/question/27198724

#SPJ1

8 0
2 years ago
Write 224% as a fraction or mixed number in the simplest form.
OlgaM077 [116]
Since it’s 224% just put it over 100 and now convert it to a mixed number with would be 2 24/100 and now simplified which is 2 6/25
So the answer is 2 6/25
6 0
2 years ago
Read 2 more answers
What is the constant of proportionality of 3y = 27x
Misha Larkins [42]

Answer:

9

Step-by-step explanation:

3y = 27x

We want to find k  when y = kx

Divide each side by 3

3y/3 = 27x/3

y = 9x

The constant of proportionality is 9

3 0
3 years ago
Question 1 of 25
padilas [110]
I believe it’s 11n -4 -40
5 0
2 years ago
HELP ASAP!!!!<br> Given (x, y ) = (5, 15). Find tan θ.
Darina [25.2K]
<span>tan θ is defined as the opposite/adjacent side to the angle in a triangle

in this case you have a triangle which forms from (0,0) to (5,0) and (5,15), with </span><span>θ at (0,0)

-> your x coordinate is the adjacent side, and y the opposite
</span>
<span>tan θ=opposite/adjacent=y/x=15/5=3</span>
8 0
3 years ago
Other questions:
  • How do I Solve and graph the inequality |6 – v| &lt; 9?
    9·1 answer
  • Using the following data set, what value would be located at B on the box and whisker plot? 9, 10, 12, 14, 15, 16, 16, 17, 20 10
    11·1 answer
  • Lyra and Donna are testing the two-way radios they built for their high school science project. Lyra goes to the top of a buildi
    10·2 answers
  • Which input value produces the same output value for the
    8·1 answer
  • A multiple choice test has 10​ questions, each of which has 4 possible​ answers, only one of which is correct. If​ Judy, who for
    11·1 answer
  • In two hours Ron read 60 pages of a novel. If the book is 240 pages long, what is the total time that Ron will read at that rate
    10·1 answer
  • The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
    12·1 answer
  • This goes with number 4
    12·1 answer
  • Lindsay is playing a video game. She begins with an initial score of 400 points, but loses 180 points throughout the game. She r
    9·1 answer
  • Which fraction is equal to 3/6<br> HELP!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!