1 answer

Taylor’s company does filling operation in a ground-beef packing plant. Three filling operations are studied by...

Question:

Taylor’s company does filling operation in a ground-beef packing plant. Three filling operations are studied by a research team. The first random sampling contained 25 packages resulting means and standard deviations were 1405.5 g and 11.2 g. The second random sampling contained 45 packages resulting means and standard deviations were 1410 g and 10.5 g and lastly the third random sampling contained 50 packages resulting means and standard deviations were 1412.5 g and 9.5 g.

a. Using a .05 significance level, is there sufficient evidence to indicate that the true mean weight of the packages differs for the first and second rounds of packaging?

b. Using a .05 significance level, is there sufficient evidence to indicate that the true mean weight of the packages the second round is smaller than the third rounds of packaging?


Answers

Given,

\small \mu_1 =1405.5,   \small s_1 =11.2,   1 = 25

112= 1410, \small s_2 =10.5 ,   \small n_2 = 45

\small \mu_3 =1412.5,   \small s_3 =9.5,   \small n_3 = 50

a.

The hypothesis is,

\small H_0:\mu_1 = \mu_2

\small H_1:\mu_1 \neq \mu_2

The test statistic is,

\small t=\frac{x_{1} - x_{2}}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}

t = -1.6778

the corresponding p value is 0.0980

Since the p value is greater than the level of significance, we fail to reject the null hypotheisis. We conclude that the there is not enough evidence to suggest that the mean of first and second packaging is different.

b.

The hypothesis is,

\small H_0:\mu_2 = \mu_3

\small H_1:\mu_2 < \mu_3

The test statistic is,

\small z=\frac{x_{1} - x_{2}}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}

\small z=-1.2120

The corresponding p value is 0.1128

Since the p value is greater than the level of significance, we fail to reject the null hypotheisis. We conclude that the there is not enough evidence to suggest that the mean of second packaging is less than third packaging.

.

Similar Solved Questions

1 answer
The Wildcat Oil Company is trying to decide whether to lease or buy a new computer-assisted...
The Wildcat Oil Company is trying to decide whether to lease or buy a new computer-assisted drilling system for its oil exploration business. Management has decided that it must use the system to stay competitive; it will provide $2.4 million in annual pretax cost savings. The system costs $9.4 mill...
1 answer
14.A stock had returns of 16 percent, 4 percent, 8 percent, 14 percent, -9 percent, and...
14.A stock had returns of 16 percent, 4 percent, 8 percent, 14 percent, -9 percent, and -5 percent over the past six years. What is the geometric average return for this time period? A. 4.26 percent B. 4.67 percent C. 5.13 percent D. 5.39 percent E. 5.60 percent 2. What is the net present value of a...
1 answer
Consider the following differential equation for A = 4 and B = 4: y''(t) + Ay'(t)...
Consider the following differential equation for A = 4 and B = 4: y''(t) + Ay'(t) + By(t) = 8u(t) + -6t u(t) where u(t) is the unit step function. Assume initial conditions: y'(0) = -6 y(0) = 5 Solve this differential equation to obtain an answer of the form shown below. Enter the va...
1 answer
O ACIDS AND BASES Making qualitative estimates of pH change Each row of the table below...
O ACIDS AND BASES Making qualitative estimates of pH change Each row of the table below describes an aqueous solution at 25 °C. The second column of the table shows the initial components of the solution. • Use the checkboxes in the third column to explain the type of the initial solution. ...
1 answer
The Bower Company sold $100,000 of 20-year bonds for $95,000. The stated rate on the bonds...
The Bower Company sold $100,000 of 20-year bonds for $95,000. The stated rate on the bonds was 7%, and interest is paid annually on December 31. What entry would be made on December 31 when the interest is paid? (Numbers are omitted.) a. Interest Expense (debit) Bonds Payable (credit) Cash (credit) ...
1 answer
Action Quest Games Co. adjusts its accounts annually. The following information is available for the year...
Action Quest Games Co. adjusts its accounts annually. The following information is available for the year ended December 31, 2020. 1. Purchased a 1-year insurance policy on June 1 for $1,800 cash. 2. Paid $6,500 on August 31 for 5 months’ rent in advance. 3. On September 4, received ...
1 answer
When preparing to conduct research, one of the first questions that need to be asked is...
When preparing to conduct research, one of the first questions that need to be asked is what research and evaluation method is appropriate (qualitative, quantitative, mixed methods, etc.)? Consider this question when answering the following: Conduct research to identify a qualitative research study ...
1 answer
Complete the following using compound future value. (Use the Table provided.) (Do not round intermediate calcul...
Complete the following using compound future value. (Use the Table provided.) (Do not round intermediate calcul nearest cent.) Principal Compounded Amount Interest 5 years $15,200 6% Quarterly Time Rate $ References eBook & Resources Worksheet Difficulty: 2 Medium Learning Objective: 12-01 (2) C...
1 answer
Sodium metal has a work function of 2.28 eV. (a) At what wavelength of incident light...
Sodium metal has a work function of 2.28 eV. (a) At what wavelength of incident light will electrons be ejected from the material? (b) If light of wavelength 450 nm is incident on the sodium, determine the maximum kinetic energy of the ejected electrons 13.4...
1 answer
A project has outflows of $100,000 today, $100,000 in one year, and $50,000 in two years....
A project has outflows of $100,000 today, $100,000 in one year, and $50,000 in two years. It is then projected to generate annual inflows of $50,000 for 10 years starting three years from today (end of year 3). Cost of capital is 13%. What is this project's PI? Round to two decimal places....
1 answer
3. Please also sketch the functions R(r) and 4Tr R(r) for R4,o.
3. Please also sketch the functions R(r) and 4Tr R(r) for R4,o....
1 answer
Simplify the boolean expression; Z= A'B'CD' + A'BC'D' + A'BCD' + A'BC'D + AB'CD + ABCD'...
Simplify the boolean expression; Z= A'B'CD' + A'BC'D' + A'BCD' + A'BC'D + AB'CD + ABCD' + ABCD...
1 answer
Which one of the following is not a main role of the liver? Degrade hormones. Detoxify...
Which one of the following is not a main role of the liver? Degrade hormones. Detoxify drugs and alcohol. Add ammonia to the blood. Process nutrients during digestion. Make cholesterol....
1 answer
RTS, Inc. just paid a $4 dividend per share. Investors require a return of 15%, and RTS is expected to have a ROE of 13%...
RTS, Inc. just paid a $4 dividend per share. Investors require a return of 15%, and RTS is expected to have a ROE of 13%. What is the value of RTS common stock if it plans to maintain a 60% dividend payout ratio? $35.19 $42.94 $26.67 $59.89...
1 answer
How do you evaluate # 2 e^( ( 3 pi)/8 i) - 5 e^( ( 19 pi)/8 i)# using trigonometric functions?
How do you evaluate # 2 e^( ( 3 pi)/8 i) - 5 e^( ( 19 pi)/8 i)# using trigonometric functions?...
1 answer
Option A Two months ago, SSF paid an external consultant $950,000 for a production plan and...
Option A Two months ago, SSF paid an external consultant $950,000 for a production plan and demand analysis. The consultant recommended producing and selling the product for five years only as technological innovation will likely render the market too competitive to be profitable enough after that t...
1 answer
American Surety and Fidelity buys and sells securities expecting to earn profits on price. For the...
American Surety and Fidelity buys and sells securities expecting to earn profits on price. For the first 11 months of 2021, gains from selling trading securities totaled $8 mill line trading securities were SIT million, and the company had earned $5 million in inta following selected transactions re...