Chapter 28, Problem 004

An alpha particle travels at a velocity of magnitude 760 m/s through a uniform magnetic field of magnitude 0.042 T. (An alpha particle has a charge of charge of +3.2 × 10^-19 C and a mass 6.6 × 10^-27 kg) The angle between the particle's direction of motion and the magnetic field is 62°. What is the magnitude of (a) the force acting on the particle due to the field, and (b) the acceleration of the particle due to this force? (c)Does the speed of the particle increase, decrease, or remain the same?

As part of a research program for a new cholesterol​ drug, a pharmaceutical company would like to investigate the relationship between the ages and LDL​ (low-density lipoprotein) cholesterol of men. The following data set shows the ages and LDL cholesterol levels of seven randomly selected men. Construct a​ 95% confidence interval to estimate the average LDL cholesterol level of a 31 year old man.

Age,Cholesterol
24, 142

36, 180

27, 159

32, 196

43, 157

31, 142

41, 210

Problem 13-18 Optimal Sharpe Portfolio Value-at-Risk (LO3, CFA6)

You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 10 percent and 16 percent, respectively. The standard deviations of the assets are 27 percent and 35 percent, respectively. The correlation between the two assets is 0.37 and the risk-free rate is 5.4 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 1 percent?

Suppose the electric field between the electric plates in the mass spectrometer of Fig. 20-38 is 2.38 ? 104 V/m and the magnetic fields B = B' = 0.66 T. The source contains carbon isotopes of mass numbers 12, 13, and 14 from a long-dead piece of a tree. (To estimate atomic masses, multiply by 1.67 ? 10-27 kg.)

A) How far apart are the lines formed by the singly charged ions of each type on the photographic film?
mm
(b) What if the ions were doubly charged?
mm

The mean wait time at Social Security Offices is 25 minutes with a standard deviation of 11 minutes. Use this information to answer the following questions:

A.            If you randomly select 40 people what is the probability that their average wait time will be more than 27 minutes?

B.            If you randomly select 75 people what is the probability that their average wait time will be between 23 and 26 minutes?

C.            If you randomly select 100 people what is the probability that their average wait time will be at most 24 minutes?

The Australian Bureau of Statistics has reported that in 2015, 26.78% of the 16.8 million employees in Australia worked part-time in their main job. Suppose that you select a random sample of 250 employees from around Australia.

(a) What is the probability that more than 26.2% of those sampled work part-time in their main job?

(b) What is the probability that the proportion of part-time employees in the sample is between 27% and 29%?

(c) The probability is 77% that the sample proportion of part-time workers will be above what value?

A company has collected its sales data of a certain product for 10 days before and after an ad campaign was run. The sales numbers (in thousands) before and after the ad campaign are as follows: before [79, 65, 62, 61, 67, 73, 56, 74, 83, 69], after [65, 76, 75, 44, 71, 66, 57, 68, 78, 74]. The researchers do NOT believe that the underlying distributions are normal, and want to take the magnitude of the difference into account. Apply a suitable statistical test to see whether the campaign was useful. What are the correct test value and decision at a confidence level of 95%?

Test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations. A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. At the 0.05 significance level, test the claim that the mean score is not affected by the course. Include your null and alternative hypotheses, the test statistic, P-value or critical value(s), conclusion about the null hypothesis, and conclusion about the claim in your answer.

Construct a scatter plot. Find the equation of the regression line. Predict the value of y for each of the x-values. Use this resource: Regression Give an example of two variables that have a positive linear correlation.

Give an example of two variables that have a negative linear correlation.

Give an example of two variables that have no correlation.

Height and Weight: The height (in inches) and weights (in pounds) of eleven football players are shown in this table.

Height, x 62 63 66 68 70 72 73 74 74 75 75 Weight, y 195 190 250 220 250 255 260 275 280 295 300

x = 65 inches x = 69 inches x = 71 inches

CASE STUDY

NEW LINE IN MOBILE PHONES

One of the oldest principles of marketing is that sellers may sell features, but buyers

essentially buy benefits. This is a distinction sometimes lost on technology led organizations,

and the service sector is no exception. Recent experience of the UK’s largest

telecommunications company, Della’s, illustrates how crucial it is to see service offers in

terms of the benefits they bring to customers. The company was aware of extensive research

which had found high levels of confusion among purchasers of mobile phones, with a

seemingly infinite permutation of features and prices. With four main networks to choose

from, dozens of tariffs and hundreds of handsets, it is easy to see why buyers sought a way of

simplifying their buying process. Throughout the 1990s, Della’s had positioned its UK

network as superior technically to its competitors. Advertising focused on high coverage rates

and call reliability.

Della’s was the UK's most popular mobile phone operator, with almost eight million

customers, including 4.2 million Pay as you Talk customers. It had opened the UK's first

cellular network on 1 January 1985 and was the market leader since 1986. Della's networks in

the UK - analogue and digital - between them carried over 100 million calls each week. It

took Della’s more than 13 years to connect its first three million subscribers but only 12

months to connect the next three million. Della’s had the largest share of the UK cellular

market with 33% and had more international roaming agreements than any other UK mobile

operator. It could offer its subscribers roaming with 220 networks in 104 countries.

Despite all of the above, Della’s was aware that although it was recognized as an extremely

strong business in the corporate marketplace, it was not so strong in the market for personal

customers. Research indicated that personal buyers bought Della’s for essentially rational

reasons rather than having any emotional attachment to the brand. The success of the

competing Digital network, which had developed a very strong image, was a lesson to Della’s

that many people did not understand many of the product features on offer, but instead

identified with a brand whose values they could share. Della’s recognized that it needed to be

perceived as adding value to a consumer’s lifestyle. Given the increasing complexity of

product features, positioning on technical features was likely to make life more confusing for

personal customers. An alternative approach was needed which focused on image and

lifestyle benefits.

QUESTION

Critically analyse the information provided on Della’s position in the market, and design a marketing plan to strengthen Della’s visibility and their competitive advantage.

1. Give an overview of the phone industry,
2. Give the competitive analysis of the company,
3. Give a marketing mix strategy
4. State the marketing mix, also provide the consumer’s analysis.
5. Be sure to identify the principal benefits of your proposed marketing strategy. You are also required to design a promotional plan that would effectively capture your target market.
6. Provide any recommendations to Della’s telecommunication company.

Thanks for your assistance!!!