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
kiruha [24]
2 years ago
5

A manufacturer of metal fasteners expects to ship an average of 1197.00 boxes of fasteners per day. A random sample of 24 days p

roduced a mean of 1193.69 boxes per day with a standard deviation of 3.3166 boxes per day. Does evidence exist showing the average number of boxes shipped per day is different from 1197.00, using alpha=5%? If it is different from 1197.00 then the manufacturer stop
Mathematics
1 answer:
lana66690 [7]2 years ago
6 0

Answer:

The p-value obtained is less than the significance level at which the test was performed, hence, we reject the null hypothesis, accept the alternative hypothesis & conclude that there is evidence showing that the average number of boxes shipped per day is different from 1197.00

Step-by-step explanation:

For hypothesis testing, we first clearly state our null and alternative hypothesis.

The null hypothesis is that there is no evidence showing that the average number of boxes shipped per day is different from 1197.00. That is, there is no significant difference between the number of boxes shipped per day and 1197.00

And the alternative hypothesis is that there is evidence showing that the average number of boxes shipped per day is different from 1197.00

Mathematically, the null hypothesis is

H₀: μ₀ = 1197.00

The alternative hypothesis is

Hₐ: μ₀ ≠ 1197.00

To do this test, we will use the t-distribution because no information on the population standard deviation is known

So, we compute the t-test statistic

t = (x - μ₀)/σₓ

x = sample mean = 1193.69 boxes per day

μ₀ = standard that we're comparing the sample mean with = 1197.00

σₓ = standard error of the sample mean

= (σ/√n)

where n = Sample size = 24 days

σ = standard deviation of the sample = 3.3166 boxes per day

σₓ = (3.3166/√24) = 0.677

t = (1193.69 - 1197) ÷ 0.677

t = -4.89

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

Degree of freedom = df = n - 1 = 24 - 1 = 23

Significance level = 0.05

p-value (for t = -4.89, at 0.05 significance level, with a two tailed condition) = 0.000061

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 = 5% = 0.05

p-value = 0.000061

0.000061 < 0.05

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & conclude that there is evidence showing that the average number of boxes shipped per day is different from 1197.00

Hope this Helps!!!

You might be interested in
The height of a box can be found by dividing its volume by the area of its base, or bottom. What is the height of a box that has
dangina [55]
26.35 cc / 4 cm² = <span> <span> <span> 6.5875 </span> </span> </span> centimeters


8 0
3 years ago
Solve the two-step equation.− 23 x – 214 = 274x =
Pachacha [2.7K]
U have to divide the numbers with the variables and then you'll get knocked down to the division and u have your answers and it is possible to have 1 or 2 answers v

4 0
3 years ago
Read 2 more answers
Ricky can type 161 words in 7 minutes. how many can words can he type in 20 minutes.
kakasveta [241]
So 161 divide 7 equals 23 so therefor he types 23 words per minutes. 23 times 20 equals 460. I think he can type 460 words in 20 minutes.
8 0
2 years ago
Read 2 more answers
What is 25 percent of 32?
vitfil [10]

Answer:

1.28 or 128

Step-by-step explanation:

you would take 32 and divide it by.25

6 0
3 years ago
Determine how many times larger is 6 x 10^4 than 6 x 10^2
goldfiish [28.3K]

Answer:

100

Step-by-step explanation:

6 . 10^4 = 6 . 10000 = 60000

6 . 10^2 = 6 . 100 = 600

60000 ÷ 600 = 100

8 0
2 years ago
Other questions:
  • Please help..... thanks
    15·1 answer
  • Cam is going to roll a fair 6-sided die 2,400 times. What is the best prediction for the number of times that cam will roll the
    13·2 answers
  • An ice cube is made of 5 fluid ounces of water about how many millilters of water does it take to make the ice cube
    8·1 answer
  • 11,700 is invested in a compound interest account paying 3.9% compounded quarterly. How much will be in the account after 18year
    7·1 answer
  • Pita has 12 coins in her bag there are three £1 coins and nine 50p coins she takes 3 coins from the bag at random work out the p
    8·1 answer
  • If x = a sec and y = b tan then find b^2x x^2-a^2x y^2
    13·1 answer
  • (1) Suppose Sanjay has a large pile of identical black marbles and a large pile of identical orange marbles. (a) How many ways c
    10·1 answer
  • Another submarines dissent can be modeled as Y= -250 X, where why is the vertical position and access time in hours. How long wi
    9·1 answer
  • Giving brainliest!!!!!!!! For help
    15·2 answers
  • What is x ???<br><br> 3(x+2)=6
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!