Randy Restaurateur owns several restaurants in a large metropolitan area. His restaurants range from mid-priced casual dining establishments to a very high priced four-star restaurant. Recently, sales at his “The Tavern on Elm” restaurant have fallen off, and Randy is eager to turn things around. Randy adopted a new strategy for attracting customers to the restaurant – advertising in the Arts and Life section of the city newspaper. You have been hired as consultants to help Randy assess the effectiveness of the advertising.

Problem Details

Randy has been running the ads for 15 weeks at a cost of $50 per week. He has provided you with weekly gross sales figures for the 15 weeks after the campaign began and the weekly gross sales figures for the 24 weeks immediately prior to the campaign in the data sheet titled Weekly Gross Sales. Before paying for the new advertising, profit has been 20% of the gross.

Requirements

Randy has asked for the following information related to the new advertising campaign:

• an estimate of the change in average weekly gross sales, stated to at least 95% confidence

• an assessment with 5% significance of the profitability of the ads (Do the ads more than pay for themselves?)

Complete the analysis and use a PLAN – DO – REPORT format to detail the problem, your work, and your conclusions.

During Before

$5,715.00 $4,959.00

$5,733.00 $5,788.00

$5,477.00 $5,663.00

$5,055.00 $5,146.00

$6,110.00 $5,756.00

$5,900.00 $5,307.00

$5,757.00 $5,589.00

$5,971.00 $4,442.00

$5,550.00 $5,395.00

$6,179.00 $5,911.00

$4,979.00 $5,248.00

$5,982.00 $5,350.00

$5,914.00 $5,533.00

$5,380.00 $5,814.00

$6,489.00 $4,981.00

$5,679.00

$4,873.00

$5,897.00

$5,908.00

$5,490.00

$5,300.00

$5,605.00

$4,987.00

$4,310.00

In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 31 of the 44 online courses at this particular community college were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question.

d) State the distribution to use for the test. (Round your standard deviation to four decimal places.)

f) What is the p-value? (Round your answer to four decimal places.)

g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

i) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)

• In Chapter 8, we learn about Mendel and his experiments that led to the Laws of Inheritance. After reading this chapter, summarize the following in your own words:
  • Difference between phenotype and genotype and how they are related.
  • How does a heterozygous organisms differ from a homozygous organism in terms of the alleles they contribute to the population?
  • Provide your best explanation for the law of segregation in 1-2 sentences.
• Understanding evolutionary relationships is an important element to understanding why organisms are placed in similar groups. In this step, you will be searching for a phylogenetic tree online, and making some observations related to the characteristics that group those organisms. You should use Chapter 12.1 as a guide. Here are the steps to follow for this section:
  • Pick a group of organisms that you would like to find a phylogenetic tree for from the following list: Plants, animals, vertebrates or invertebrates
  • In the google search bar, search for the following “plants (or whichever you pick), phylogenetic tree).
  • Click on “Images” below the Google search bar. You should see several trees that pop up. Find one that contains some characters (physical descriptions) so you can make some conclusions regarding the organisms.
  • Provide the following in your response:
    • A copy of the phylogenetic tree you found.
    • Write a summary of the characters or traits that are responsible for grouping organisms. Include an assessment of which organisms in the group are more closely related, as well as anything interesting or odd you found about the evolutionary relationships of the organisms.

you have two pure-bred varieties of roses, one that has multiple flowers on each stem and red petals, and another that has one flower per stem and yellow petals. you are sure you could get rich if you could just get a multiple-flowered, yellowfins petalled rose bush. you cross your two pure breeding varieties and all the F1 progeny plants have identical phenotype, but your lab assistant forgets to write down the phenotype and then loses the plants. fortunately, you still have one hundred F2(progeny from self-crossing the F1 hybrids before they were lost), and you find the F2 phenotypes as follows:

19 single-flowered red,

18 multi-flowered yellowfins,

8 single-flowered yellowfins,

55 multi flowered red.

a) which phenotypes are dominant

b) record the ratio of the F2 offspring and list the genotypes and phenotypes associated with each number in the ratio

TYPE YOUR ANSWER

An unknown microbe with below result tests is identified Staphylococcus. ( to get to genus level). BASED ON RESULTS:

Discuss the degree of confidence you have regarding your identification (were there any tests that were challenging to interpret / what additional tests would confirm your identification/ Do all the characteristics of your microbe align with your observations?

A.) A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance ?² = 42.3. In a different section of Chaco Canyon, a random sample of 22 transects gave a sample variance s² = 49.1 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3. Find a 95% confidence interval for the population variance.

What is the level of significance?

Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)

What are the degrees of freedom?

Find the requested confidence interval for the population variance. (Round your answers to two decimal places.)

lower limit=

upper limit=

B.) Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately ?² = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s² = 3.0. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance.

What is the level of significance?

Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)

What are the degrees of freedom?

Find the requested confidence interval for the population variance. (Round your answers to two decimal places.)

lower limit =

upper limit =

C.) The fan blades on commercial jet engines must be replaced when wear on these parts indicates too much variability to pass inspection. If a single fan blade broke during operation, it could severely endanger a flight. A large engine contains thousands of fan blades, and safety regulations require that variability measurements on the population of all blades not exceed ?² = 0.18 mm². An engine inspector took a random sample of 81 fan blades from an engine. She measured each blade and found a sample variance of 0.32 mm². Using a 0.01 level of significance, is the inspector justified in claiming that all the engine fan blades must be replaced?

What is the level of significance?

Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)

What are the degrees of freedom?

Find a 90% confidence interval for the population standard deviation. (Round your answers to two decimal places.)

lower limit            mm

upper limit           mm

D.) Jim Mead is a veterinarian who visits a Vermont farm to examine prize bulls. In order to examine a bull, Jim first gives the animal a tranquilizer shot. The effect of the shot is supposed to last an average of 65 minutes, and it usually does. However, Jim sometimes gets chased out of the pasture by a bull that recovers too soon, and other times he becomes worried about prize bulls that take too long to recover. By reading journals, Jim has found that the tranquilizer should have a mean duration time of 65 minutes, with a standard deviation of 15 minutes. A random sample of 7 of Jim's bulls had a mean tranquilized duration time of close to 65 minutes but a standard deviation of 26 minutes. At the 1% level of significance, is Jim justified in the claim that the variance is larger than that stated in his journal? Find a 95% confidence interval for the population standard deviation.

What is the level of significance?

Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)

What are the degrees of freedom?

Find the requested confidence interval for the population standard deviation. (Round your answers to two decimal place.)

lower limit            mm

upper limit           mm

Paired-/Related Samples T-test

Use it to test whether there is a difference between the two conditions(note: conditions must be RELATED-participants provide in each condition).

You are interested in the relationship satisfaction of young adults before and after they go off to college/university, which separates them from their sweetheart. You asked four couples to rate the satisfaction of their relationship (on a scale of 0-50) before leaving for school and then again after a semester. Here are the data:

Pair Before After

1 40 32

2 38 31

3 36 30

4 42 31

1. State the null and alternative hypotheses as well as your criterion:

2 .State your assumptions

3. Calculate difference scores, the sum of difference scores and the sum of difference scores squared:

4. Calculate t

5. Figure out your degrees of freedom and use this to find the critical t value

6. Reject or fail-to-reject the null hypothesis and state your conclusions.

Course Learning Outcomes-Covered
• Demonstrate a solid understanding of decision making process for complex issues pertaining to business environment both internally and externally. (1.2)
• Explain critical thinking and cognitive psychology as it pertains to analyze and synthesize information for problem solving and decision making. (2.7)
• Identify and analyze different perspectives on understanding problems for different situations. (3.1)
..

Assignment Instructions:
• Log in to Saudi Digital Library (SDL) via University’s website
• On first page of SDL, choose “English Databases”
• From the list find and click on EBSCO database.
• In the search bar of EBSCO find the following article:
Title: “The elements of good judgement- How to improve your decision-making”
Author: Sir Andrew Likierman, Professor, London Business School
Date of Publication: January–February 2020  
Published: Harvard Business Review
..

Assignment Questions: (Marks 05)
1. Read the attached article titled as “The elements of good judgement- How to improve your decision-making” by Sir Andrew Likierman, published in Harvard Business Review, and answer the following Questions: [5 Marks]
a. Summarize the article and explain the main issues discussed in the article. (In 600-700 words)
b. What do you think about the article in relations to what you have learnt in the course about improving decision-making and problem solving skills? Use additional reference to support you argument. (In 300-500 words)

Listed below are student evaluation ratings of​ courses, where a rating of 5 is for​ "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 99% confidence level. What does the confidence interval tell about the population of all college students in the​ state?

3.8, 3.0, 4.0, 4.7, 2.9, 4.1, 3.4, 5.0, 4.8, 3.9, 4.2, 4.0, 3.4, 4.2, 3.6

What is the confidence interval for the population mean muμ​?

Listed below are student evaluation ratings of​ courses, where a rating of 5 is for​ "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 98​% confidence level. What does the confidence interval tell about the population of all college students in the​ state? 3.5​, 3.0​, 4.3​, 4.8​, 3.1​, 4.1​, 3.4​, 4.5​, 4.8​, 4.5​, 4.3​, 3.8​, 3.1​, 4.2​, 3.7

What is the confidence interval for the population mean μ​?