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
zalisa [80]
3 years ago
7

The CEO of the Jen and Benny's ice cream company is concerned about the net weight of ice cream in their 50 ounce ice cream tubs

. He decides that he wants to be fairly sure that the mean weight of these ice cream tubs (μ) is greater than 52 ounces. A hypothesis test is conducted with the following hypotheses: H0: μ = 52 Ha: μ > 52 The level of significance used in this test is α = 0.05. A random sample of 26 ice cream tubs are collected and weighed. The sample mean weight is calculated to be x = 54.98 and the sample standard deviation is s = 8.43. a)Calculate the test statistic (t) for this test. Give your answer to 4 decimal places.
Mathematics
2 answers:
MissTica3 years ago
7 0

Answer:

t=\frac{54.98-52}{\frac{8.43}{\sqrt{26}}}=1.8025  

We need to find the degrees of freedom given by:

df = n-1= 26-1 = 25

Since is a right tailed test the p value would be:  

p_v =P(t_{25}>1.8025)=0.0418  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average is higher than 52 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=54.98 represent the sample mean

s=8.43 represent the sample deviation

n=26 sample size  

\mu_o =52 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 52, the system of hypothesis would be:  

Null hypothesis:\mu \leq 52  

Alternative hypothesis:\mu > 52  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{54.98-52}{\frac{8.43}{\sqrt{26}}}=1.8025  

P-value  

We need to find the degrees of freedom given by:

df = n-1= 26-1 = 25

Since is a right tailed test the p value would be:  

p_v =P(t_{25}>1.8025)=0.0418  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average is higher than 52 at 5% of signficance.  

aksik [14]3 years ago
5 0

Answer:

Test statistics = 1.8025

Step-by-step explanation:

We are given that the CEO of the Jen and Benny's ice cream company is concerned about the net weight of ice cream in their 50 ounce ice cream tubs. He decides that he wants to be fairly sure that the mean weight of these ice cream tubs (μ) is greater than 52 ounces. For this;

Null Hypothesis, H_0 : \mu = 52

Alternate Hypothesis, H_1 : \mu > 52

Also, a random sample of 26 ice cream tubs are collected and weighed. The sample mean weight is calculated to be x = 54.98 and the sample standard deviation is s = 8.43.

The test statistics used here will be;

                T.S. = \frac{Xbar -\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 54.98

             s = sample standard deviation = 8.43

             n = sample size = 26

So, test statistics = \frac{54.98 -52}{\frac{8.43}{\sqrt{26} } } ~ t_2_5

                            = 1.8025

Now, assuming 5% level of significance t table gives critical value of 1.708. Since our test statistics is more than the critical value so we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the mean weight of these ice cream tubs (μ) is greater than 52 ounces.

You might be interested in
Help pls do allll 6 questions... with steps
BaLLatris [955]
You just want to simplify right?!

45. (a^2b^3)(ab)^-2
= (a^2b^3)(a^-2b^-2)
= b
46. (-3x^3y)^2(4xy^2)
= (-9x^6y^2)(4xy^2)
= -36x^7y^4
47. 3c^2d(2c^3d^5) / 15c^4d^2
= 6c^5d^6 / 15c^4d^2
= 2/5c1/4x^4
48. -10g^6h^9(g^2h^3) / 30g^3h^3
= -10g^8h^12 / 30g^3h^3
= -1/3g^5h^9
49. 5x^4y^2(2x^5y^6) / 20x^3y^5
= 10x^9y^8 / 20x^3y^5
= 1/2x^6 1/3y^3
50. -12n^7p^5(n^2p^4) / 36n^6p^7
= -12n^9p^9 / 36n^6p^7
= -1/3n^3p^2

(Sorry it’s messy it’d look better if my phone could actually put the numbers to the power)
5 0
2 years ago
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia
Sav [38]

Answer:

10.12 m^{3}

Step-by-step explanation:

Given:

  • 0.07 cm thick = 0.007m and it is dr (the change in radius)

As we know that, the volume of a hemispherical dome with diameter 48 m is:

  • V = \frac{2}{3} πr^{3}

Take the derivative of V we have:

\frac{dV}{dr} = 2πr^{2}  

<=> dV = 2πr^{2}*dr

<=> dV = 2π*48^{2} *0.0007 = 10.12 m^{3}

Hope it will find you well.

6 0
3 years ago
Read 2 more answers
How to solve it step by step <br> -8+4(1+5n)=-6n-14
oksano4ka [1.4K]

Answer:

n = -5/13

Step-by-step explanation:

-8+4(1+5n)=-6n-14  (from PEDMAS, expand parenthesis first)

-8+1(4) +5n(4)=-6n-14

-8+4 +20n=-6n-14

-4 + 20n = -6n -14  (add 6n to both sides)

-4 + 20n + 6n =  -14

-4 + 26n = -14  (add 4 to both sides)

26n = -14 + 4

26n = -10  (divide both sides by 26)

n = -10/26 = -5/13

5 0
3 years ago
The equation (x – 5)^2 + (y – 7)^2 = 81 models the position and range of a cellular phone tower. What is the range of the tower?
LiRa [457]

Answer:

In interval form range is [-2,16]

Step-by-step explanation:

Here we can see that given equation is circle

whose center is (5,7 ) and radius is 8 ,

Range of the circle is actually values of y it changes from

if (h,k) is the center and r is the radius of circle then range is given by

                     k-r     ≤y ≤ k+r

here in the question k = 7 and r =9

therefore  range is

       7-9     ≤y ≤ 7+9

          -2  ≤y ≤ 16

In interval form [-2,16]

4 0
2 years ago
Mr. Schnee is refinancing his home. His loan officer has presented him with the following two offers; it is worth noting that Mr
erastovalidia [21]

The option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Given that Mr. Schnee is refinancing his home, and his loan officer has presented him with two offers, to determine which offer should he take in order to maximize his benefit, the following calculation must be performed:

A) 4.5% Interest Rate for 30 years with a monthly payment of $ 1,266.71 with $ 256 Closing Costs

1,266.71 x 30 x 12 + 256 = X

1,266.71 x 360 + 256 = X

456,015.60 + 256 = X

456,271.60 = X

B)4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs

1,193.54 x 30 x 12 + 10,362 = X

1,193.54 x 360 + 10,362 = X

429,674.40 + 10,362 = X

440,036.40 = X

Therefore, the option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Learn more about maths in brainly.com/question/25866144

3 0
2 years ago
Other questions:
  • What system of inequalities is graphed below?
    15·2 answers
  • Find Derivative<br> (root3(6x^2))
    6·2 answers
  • Jefferson Middle School needs to see a 300% gain in PTO fundraiser
    7·1 answer
  • Does anyone know how to do this? It’s mean, mode, and median type of stuff
    13·1 answer
  • The oblique pyramid has a square base.
    10·2 answers
  • What is the quotient of a-3 over 7 divided by 3-a over 21
    13·1 answer
  • Wade Boggs played professional baseball for three different teams in 18 years. The table shows his total number of hits for each
    15·2 answers
  • Evaluate the logarithm.<br> log 0.00001
    8·1 answer
  • Graph the equation y=-1/4(x-2)(x+6) khan academy
    9·2 answers
  • Help will mark brainliest no links it trolls. Thx
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!