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
olya-2409 [2.1K]
3 years ago
9

Find the arithmetic means in the given sequence. 145, , , , 205

Mathematics
1 answer:
pav-90 [236]3 years ago
7 0
145, .... ,205 Every level (+) 15 A. 160, 175, 190 #Sorry bad english
You might be interested in
What is the equation of the line
Sphinxa [80]

x = 0

................

7 0
3 years ago
Read 2 more answers
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
Sliva [168]

Answer:

A) Option B is correct.

H₀: μ₁ = μ₂

Hₐ: μ₁ - μ₂ < 0

B) t = -2.502

p-value = 0.0112

C) Option A is correct.

Reject H₀. The data suggests that cola has a higher average compression strength than the strawberry drink.

D) Option A is correct.

The distributions of compression strengths are approximately normal.

Step-by-step explanation:

The complete Question is presented in the two attached images to this answer.

A) To perform this test we first define the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, we want to test if the extra carbonation of cola results in a higher average compression strength. That is, that cola has a higher average compression strength than the strawberry drink.

Hence, the null hypothesis would be that there isn't significant evidence to suggest that the extra carbonation of cola results in a higher average compression strength, that is, cola has a higher average compression strength than the strawberry drink.

The alternative hypothesis is that there is significant evidence to suggest that the extra carbonation of cola results in a higher average compression strength, that is, cola has a higher average compression strength than the strawberry drink.

Mathematically, if the average compression strength of strawberry drink is μ₁, the average compression strength of cola is μ₂ and the difference in compression strengths is μ = μ₁ - μ₂

The null hypothesis is represented as

H₀: μ = 0 or μ₁ = μ₂

The alternative hypothesis is represented as

Hₐ: μ < 0 or μ₁ - μ₂ < 0

B) So, to perform this test, we need to compute the test statistic

Test statistic for 2 sample mean data is given as

Test statistic = (μ₁ - μ₂))/σ

σ = √[(s₂²/n₂) + (s₁²/n₁)]

μ₁ = average compression strength of strawberry drink = 537

n₁ = sample size of the sample of strawberry drink in cans surveyed = 10

s₁ = standard deviation of the compression strength of strawberry drink in cans surveyed= 22

μ₂ = average compression strength of cola = 559

n₂ = sample size of the sample of cola in cans surveyed = 10

s₂ = standard deviation of the compression strength of strawberry drink in cans surveyed = 17

σ = [(17²/10) + (22²/10)] = 77.5903160379 = 8.792

We will use the t-distribution as no information on population standard deviation is provided

t = (537 - 559) ÷ 8.792

= -2.502 = -2.50

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n₁ + n₂ - 2 = 10 + 10- 2 = 18

Significance level = 0.05

The hypothesis test uses a one-tailed condition because we're testing in only one direction (whether compression strength of cola in can is greater).

p-value (for t = -2.50, at 0.05 significance level, df = 18, with a one tailed condition) = 0.011154 = 0.0112 to 4 d.p.

C) The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.0112

0.0112 < 0.05

Hence,

p-value < significance level

This means that we reject the null hypothesis accept the alternative hypothesis & say that the extra carbonation of cola results in a higher average compression strength, that is, cola has a higher average compression strength than the strawberry drink.

D) The necessary conditions required before a t-test is deemed valid include.

- The samples used must be a random sample of the population distribution with each variable in the sample independent of other one.

- The distribution of the population where the samples were extracted from must be normal or approximately normal to ensure some degree of normality for the samples.

Hence, the necessary assumption for this t-test among the options is that the distributions of compression strengths are approximately normal.

Hope this Helps!!!

7 0
3 years ago
On the weekend for every 2 minutes you spend watching puppy videos you spend 9 minutes watching regular tv. If you spend 572 min
harkovskaia [24]

Answer:

104 mins, 468 mins

Step-by-step explanation:

Let the time spent on puppy videos = 2x

Where x is the number of weekends.

Time spent on regular TV = 9x.

So total time spent is 572 mins

i.e 2x + 9x = 572

i.e 11x = 572

So x = 52.

So time spent on puppy videos = 2 X 52

                                                    = 104 mins

So time spent on puppy videos =  9 X 52

                                                      = 468 mins.

8 0
3 years ago
Chelsea and her friends are going to a movie. If popcorn is $3.99 and drinks are $1.75, what is the cost of two popcorns and thr
Iteru [2.4K]
$5.74 I think :vvvvvvvvvv
6 0
3 years ago
Read 2 more answers
What is the scale of a drawing that shows a length of 2 inches when the actual length is
Softa [21]

Answer:

1:18 to scale

Step-by-step explanation:

2 goes into 36 18 times so its scaled down by 18.

6 0
3 years ago
Other questions:
  • Which represents the solution(s) of the equation x2 = 36?
    7·2 answers
  • 50 points!! The value of the expression 7+3*2+(12-8)/ 2x4 is ___________
    8·2 answers
  • Which of the following is an example of empirical probability
    12·2 answers
  • John pays $15 per hour plus a fee of $10 to get his house cleaned.if he has to pay $160 how many hours did he get his house clea
    12·1 answer
  • Please help with my homework please
    14·1 answer
  • if anyone who knows this please message me and give me the answers and i will pay you to help me with the rest
    9·2 answers
  • Explain to Jimmy how estimating first can help him determine if his answer is reasonable his answer was 384 is at a reasonable a
    6·1 answer
  • Help me with this I don’t really understand it
    6·1 answer
  • Lucy is a dress maker. She sews 4/7 of a dress in 3/4 hour. Lucy sews at a constant rate. At this rate, how many dresses does Lu
    8·1 answer
  • F(x)=5x-1; find f (-2), f (0), and f (x+1)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!