A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix had a mean of 217.222 days and a standard deviation of 1.2019 days. At the 0.025 significance level, decide if the sample data support the claim that shelf life has increased. State your decision in terms of the null hypothesis.

Answers

Answer 1

Answer:

The calculated value t = 3.050 <  3.8325 at 0.0025 level of significance

The null hypothesis is accepted

The sample data support the claim that shelf life has increased.

Step-by-step explanation:

Step(i):-

Given that the Mean of the Population = 216days

Given that sample size n=9

Given that mean of sample x⁻ = 217.222 days

Given that the Standard deviation of the sample (S) = 1.2019days

Step(ii):-

Null hypothesis:-H₀:The sample data support the claim that shelf life has increased.

Alternative Hypothesis:H₁: The sample data support the claim that shelf life has decreased

Test statistic

        [tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

       [tex]t = \frac{217.222-216}{\frac{1.2019}{\sqrt{9 } } }[/tex]

       t = 3.050

Degrees of freedom γ = n-1 = 9-1 =8

t₀.₀₂₅ = 3.8325

Final answer:-

The calculated value t = 3.050 <  3.8325 at 0.0025 level of significance

The null hypothesis is accepted

The sample data support the claim that shelf life has increased.


Related Questions

Size of each of mr sirac's classes

Answers

Answer:

You didn't add any images maybe it was a mistake?

Step-by-step explanation:

Study the graphs, then select the best answers from the drop-down menus.



The greatest number of people immigrated during the
westward expansion
.

During the Progressive Era, most immigrants came from
.

During the
, there was a peak of about 800,000 immigrants coming to the United States.

Answers

1. b 2. a 3. a

100% correct edge 2021

Step-by-step explanation:

Answer:

1:✔ post-1965 immigration

2:✔ Southern and Eastern Europe

3: ✔ immigration pause

Step-by-step explanation:The other person is correct as well ou should give the brainiest.  

According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from to , with a score of indicating a great wine, indicating an outstanding wine, indicating a very good wine, indicating a good wine, indicating a mediocre wine, and below indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in follow: Excel File: data07-11.xlsx 87 91 86 82 72 91 60 77 80 79 83 96 a. Develop a point estimate of mean wine score for this pinot noir (to decimals).

Answers

Answer:

[tex]\=x=82[/tex]

Step-by-step explanation:

From the question we are told that:

Data

[tex]\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } 87& 91& 86& 82& 72&91 \\ 60& 77& 80& 79& 83&96 \end{tabular}\end{center}[/tex]

Generally the equation for Point estimate [tex]\=x[/tex] is mathematically given by

[tex]\=x=\frac{\sum_x}{n}[/tex]

[tex]\=x=\frac{87 +91+ 86+ 82 +72 +91+ 60+ 77 +80+ 79+ 83 +96}{12}[/tex]

[tex]\=x=\frac{984}{12}[/tex]

[tex]\=x=82[/tex]

Suppose that each observation in a random sample of 100 fatal bicycle accidents in 2015 was classified according to the day of the week on which the accident occurred. Data consistent with information on the Insurance Institute for Highway Safety are given in the following table.
Day of the Week Frequency
Sunday 16
Monday 12
Tuesday 12
Wednesday 13
Thursday 14
Friday 15
Saturday 18
a. Based on these data, is it reasonable to conclude that the proportion of fatal bicycle accidents in 2015 was not the same for all days of the week? Use a significance level of 0.05.
b. Write interpretation

Answers

Answer:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0:  proportion of fatal bicycle accidents in 2015 was the same for all days of the week

against the claim

Ha:  proportion of fatal bicycle accidents in 2015 was not the same for all days of the week

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (ni - npi)²/ npi

which has an approximate chi square distribution with ( n-1)=7-1=  6 d.f

4) The critical region is χ² ≥ χ² (0.05)6 = 12.59

5) Calculations:

χ²= ∑ (16- 14.28)²/14.28 + (12- 14.28)²/14.28 + (12- 14.28)²/14.28 + (13- 14.28)²/14.28 + (14- 14.28)²/14.28 + (15- 14.28)²/14.28 + (18- 14.28)²/14.28

χ²= 1/14.28 [ 2.938+ 5.1984 +5.1984+1.6384+0.0784 +1.6384+13.84]

χ²= 1/14.28[8.1364]

χ²= 0.569= 0.57

6) Conclusion:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

b. It is reasonable to conclude that the proportion of fatal bicycle accidents in 2015 was the same for all days of the week

What is the volume of this rectangular prism 2/3cm 5cm 6cm?

Answers

V = 20 cm ^3

multiply 6 cm by 5 cm by 2/3 cm and your answer is 20cm^3

Point D is at (-4,-2) on a coordinate plane, what would be the ordered pair if
you reflected point D horizontally? How do you know?

Answers

Answer:

As such, in first quadrant, both the coordinates (x and y) are positive and both are negative in third quadrant. In second quadrant, y is positive and x is negative, while in fourth quadrant x is positive and y is negative, As (-4, -2) has both x and y coordinates negative, it will be found in third quadrant

Step-by-step explanation:

Which of the following statements is true for the quadratic equation x2 – 16x + 64 = 0?

Answers

Answer:

Please provide the statements.

Step-by-step explanation:

Answer:

the equation has one anser

Step-by-step explanation:

One of Natalia's professors claims that 13% of the students at their college frequently wear hats. Natalia feels that the actual rate is much lower. She selects a random sample of 100 students at the college and finds that only 9 of them wear hats frequently. To determine if her data provide convincing evidence that the true proportion is less than 13%, she conducts 200 trials of a simulation. Natalia is testing the hypotheses. H o p = 13% and Ha p< 13%, where p = the true proportion of students at the college who frequently wear hats. Based on the results of the simulation, what is an estimate of the P-value of the test? ​

Answers

Answer:

0.005 or A

Step-by-step explanation:

EDGE2022

What is the area, in square meters, of the shape below?

Answers

Answer:

20.9 i think

Step-by-step explanation:

Answer:

10.45

Step-by-step explanation:

h=3.8

b-5.5

5.5 multiply 3.8 =20.9

this is a triangle so divide 20.9 by 2

=10.45

Sarah uses a recipe to make 8 gallons of her favorite mixed-berry juice. The containers she plans to use to
store the juice have a capacity of 1 pint.
How many containers will Sarah need?
Sarah will need
containers

Answers

sarah will need 64 pints

i will give 25 points for these 4 answers

Answers

Answer:

oh really

Step-by-step explanation:

but from what am seeing here I'm able to get 5 pts

so how do you wannna do it

PLEASE HELP I NEED THIS TO PASS

Answers

Answer:

Step-by-step explanation:

total sum of Triangle's angles is 180 deg:

than: x = 180 -61-56 = 63

Answer:

63 degrees

Step-by-step explanation:

All three angles in a triangle is always 180, so 180-61-56=63 degrees

Please mark Brainliest.

Have a great weekend!

According to a health statistics​ center, the mean weight of a​ 20-to-29-year-old female is 156.5​ pounds, with a standard deviation of 51.2 pounds. The mean weight of a​ 20-to-29-year-old male is 183.4​ pounds, with a standard deviation of 40.0 pounds. Who is relatively​ heavier: a​ 20-to-29-year-old female who weighs 160 pounds or a​ 20-to-29-year-old male who weighs 185​ pounds

Answers

mind fact sub happy wala birthday quiz frist video

middle school problems and i need help ​

Answers

Answer:

A. 47%

Step-by-step explanation:

The total amount of people who preferred indoor seating was 70. The total amount of people sureveyed was 148. So 70 divided by 148, or 70/148, is

0.47 =47%

A.47%


I hope this helped!

PLEASE HELP IM TAKING THE TEST NOW AND I CANT FIGURE IT OUT PLEASE HELP!!!!!!!!!!!!!! Choose the function table that matches the given rule. (1 point)
Rule: output = input - 6
o
Input Output
5
-2
3
-6
0
-6
O Input Output
- 7
-13
-2
-8
6
0
Input
Output
9
3
-6
2
6
0
Input
Output
-2.
-8
2
8
5
-3

Answers

Answer:

what's

Step-by-step explanation:

the test

Two angles are complementary.
If one angle measures 45
degrees, then what is the
measure of the other angle? *

Answers

Answer:

45

Step-by-step explanation:

I need help with this qusetion

Answers

Answer:

Its A

Step-by-step explanation:

Answer:

D. Divide 151 by 479

Step-by-step explanation:

What is the approximate length?

Answers

9514 1404 393

Answer:

  (a)  75.5

Step-by-step explanation:

There are two ways you can work this.

Pythagorean theorem

Triangle CMP is a right triangle. CM = AC = 55. CP = CB -PB = 55 -15 = 40. Then length PM can be found from ...

  PM² +CP² = CM²

  PM = √(CM² -CP²) = √(55² -40²) = √1425 ≈ 37.749

The length MN is twice the length of PM, so is ...

  MN = 2×PM = 2×37.349 = 75.498

The length of MN is about 75.5.

__

Using chord relationships

The products of the different lengths for the same chord are the same for the crossed chords.

  AP×PB = MP×PN

We know MP = PN, so ...

  MP = √(AP×PB) = √((55+40)(15)) = √1425

As before, MN = 2×MP = 2√1425

  MN ≈ 75.5

Find the area of the figure.
(20 pts)

Answers

To find the area of an object, multiply the width and the height

Answer:

d. 122 units^2

Step-by-step explanation:

Enter an algebraic expression that represents fifteen less than the sum of y cubed and seven.

Answers

Answer:

y^3 + 7 - 15

Step-by-step explanation:

∠a and ∠b are complementary angles. ∠a measures 22°.

what is the measure of ∠b?

Answers

Answer:

∠b = 68°

Step-by-step explanation:

Complementary angles are a pair of angles that, added together, equal 90°.

If ∠a = 22°, then the measure of∠b must equal 90° when added to that of ∠a.

To find the measure of ∠b, then, we can subtract ∠a from 90°.

90 - 22 = 68

The measure of ∠b, then, is 68°.

I hope this is helpful ^^

Good luck

Please help me solve this problem

Answers

Answer:

62 + 64 + 55 + s = 242

61 students will ride Bus #4.

Step-by-step explanation:

The equation I will use here is 62 + 64 + 55 + s = 242

62 + 64 + 55 + s = 242 {Going from left to right, subtract 62, 64, & 55 from 242}

64 + 55 + s = 180 {242 - 62 = 180}

55 + s = 116 {180 - 64 = 116}

s = 61 {116 - 55 = 61}

61 students will ride Bus #4.

Whats (1÷1/4) (3÷1/2) (1/4÷3)​

Answers

Answer:

37

-----

56

Step-by-step explanation:

What is the area of the kite? 10 yd 4 yd 6 yd 4 yd ​

Answers

the area of a kite would be 6 ts

What is the missing value of G if G is two and one-half times smaller than 18.04 cm?

A. 7.216 cm
B. 7.316 cm
C. 8.316 cm
D. 9.02 cm

Answers

A. 7.216 cm

18.04/2.5 = 7.216

Answer:

A. 7.216

Step-by-step explanation:

give the other person brainlest

In Devon's school, the morning session runs for a total of 182 minutes. The morning session
includes 4 class periods of equal length and a homeroom period that lasts for 10 minutes.
Using the variable m to represent minutes, write an equation that can be used to find the
length of each class period. Then solve for m.

Answers

Answer:

Every class period is 43 minutes long.

Equation:

(m - 10) ÷ 4

A new car is purchased for $26,000 and over time its value depreciates by one half
every 5 years. What is the value of the car 7 years after it was purchased, to the
nearest hundred dollars?

Answers

Answer: $203

Step-by-step explanation: We first start out with the exponential decay model which is y=a(1-r)^t, then plug in the numbers of your problem:

-y=26,000(1-0.50)^7

-y=26,000*0.50^7

-y=26,000*0.0078125

-y=203.125

Then, after rounding to the nearest hundred dollars you get your answer....

:) hope this helped a bit

The value of the car 7 years after it was purchased will be $203.

What is exponential decay?

A quantity lowers gradually at first during exponential decay before rapidly declining after that. Half-life may be calculated using the exponential decay formula, which is also used to estimate population decrease.

It is given that, A brand-new car costs $26,000 to buy, and every five years, its value decreases by 50%.

We have to find the value of the car 7 years after it was purchased

The exponential decay model, y=a(1-r)t, is where we begin. The data from your problem are then entered.

y=-26,000(1-0.50)^7

y=-26,000*0.50^7

y=-26,000*0.0078125

y=-203.125         (-ve shows the value is declining)

Thus, the car will be worth $203 seven years after it was bought.

Learn more about the exponential decay here:

brainly.com/question/14355665


#SPJ2

PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS

Answers

Answer:

6t=9? let me know if that's correct x

Step-by-step explanation:

I think it would be 9t

Solve by completing the square:
x^2 + 3x - 9 = 0

Answers

Answer:

Step-by-step explanation:

x^2 + 3x - 9 =0

By comparing with the equation ax^2+bx+c = 0,

we get,

a = 1, b=3, c = -9

we know the formula for x is,

x = (-b±√(b^2 - 4ac))/2a

x = (-3±√45)/2

x = (-3±3√5)/2

x = (-3+3√5)/2, (-3-3√5)/2

Answer:

2 solutions. x = -3/2 + 3/2 * sqrt(5) and x = -3/2 + -3/2 * sqrt(5)

Step-by-step explanation:

Let's solve your equation step by step.

x^2 + 3x −9 = 0

For this equation: a=1, b=3, c=-9

1x^2 + 3x+ −9 = 0

Step 1: Use quadratic formula with a=1, b=3, c=-9.

x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex])/2a

x = (-3 ± [tex]\sqrt{3^2 - 4(1)(-9)}[/tex])/2a

x = (-3 ± [tex]\sqrt{45}[/tex])/2

x = -3/2 + 3/2 * sqrt(5) or x = -3/2 + -3/2 * sqrt(5)


helppppppppppppppppp

Answers

Answer:

c = 2.9 yards

Step-by-step explanation:

2c = 42.4 - (18.3 x 2)

2c = 42.4 - 36.6

2c = 5.8

c = 5.8 / 2

c = 2.9 yards

Hope that helps! :)

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