Question

In: Statistics and Probability

21customers were monitored before and after a large marketing campaign by a large retailer to determine...

21customers were monitored before and after a large marketing campaign by a large retailer to determine if their spending increased after the campaign, compared to what the spent before the advertising campaign. (Use the 0.05 level of significance).

amount spent (dollars)
before after
77.19 125.85
87.13 67.12
95.17 76.79
64.44 49.06
88.95 66.45
78.3 55.21
43.69 63.57
70.33 55.09
41.74 107.72
84.14 56.71
68.52 87.03
59.97 66.89
66.03 69.1
93.39 77.45
59.46 89.04
90.41 80.36
71.44 60.81
114.89 96.31
73.59 67.32
102.95 104.88
106.38 128.45

  

1. What is your null and alternative hypothesis?

2. What is you p-value?

3. What is the conclusion?

Solutions

Expert Solution

necessary calculation table:-

before

(xi)

after

(yi)

77.19 125.85 -48.66 2307.477
87.13 67.12 20.01 425.7537
95.17 76.79 18.38 361.1444
64.44 49.06 15.38 256.1216
88.95 66.45 22.5 534.7101
78.3 55.21 23.09 562.3443
43.69 63.57 -19.88 370.8012
70.33 55.09 15.24 251.6602
41.74 107.72 -65.98 4271.433
84.14 56.71 27.43 787.0157
68.52 87.03 -18.51 319.9162
59.97 66.89 -6.92 39.64213
66.03 69.1 -3.07 5.983894
93.39 77.45 15.94 274.3595
59.46 89.04 -29.58 838.4615
90.41 80.36 10.05 113.93
71.44 60.81 10.63 126.648
114.89 96.31 18.58 368.7859
73.59 67.32 6.27 47.52448
102.95 104.88 -1.93 1.706158
106.38 128.45 -22.07 459.9395
sum=-13.1 sum=12725.3579

sample size (n) = 21

a).hypothesis:-

where,

b).test statisic be:-

df = (n-1) = (21-1) = 20

p value be:-

[ in any blank cell of excel type =T.DIST(-0.1133,20,TRUE)]

c).decision:-

p avlue = 0.4555 > 0.05 (alpha)

so, we fail to reject the null hypothesis.

we conclude that,

there is not significant evidence to claim that their spending increased after the campaign, compared to what they spent before the advertising campaign at 0.05 level of significance.

*** if you have any doubt regarding the problem please write it in the comment box.if you are satisfied please give me a LIKE if possible...


Related Solutions

A large furniture store has begun a new ad campaign on local television. Before the campaign,...
A large furniture store has begun a new ad campaign on local television. Before the campaign, the long-term average daily sales were $24,819. A random sample of 40 days during the new ad campaign gave a sample mean daily sale average of = $25,910. Does this indicate that the population mean daily sales are now more than $24,819? Use a 1% level of significance. Assume σ = $2159. Based on the calculated P-value will you reject or fail to reject...
A large furniture store has begun a new ad campaign on local television. Before the campaign,...
A large furniture store has begun a new ad campaign on local television. Before the campaign, the long term average daily sales were $24.819. A random sample of 40 days during the new ad campaign gave a sample mean daily sale average of x = $25.630. Does this indicate that the population mean daily sales is now more than $24.819? Use a 1% level of significance. Assume o = $1,917. a. What is the LEVEL of SIGNIFICANCE? State the NULL...
Imagine you work in the marketing department of a large food retailer. The recent documentary series...
Imagine you work in the marketing department of a large food retailer. The recent documentary series “ War on Waste” studied in class has illustrated the pressure the media and the general public are placing on all organisations to be good corporate citizens. Your Marketing Director has asked you to produce a critical report that covers the following: a) The benefits and limitations of Corporate Social Responsibility. b) The strategic options available in dealing with social issues. c) The seven...
Imagine you work in the marketing department of a large food retailer. The recent documentary series...
Imagine you work in the marketing department of a large food retailer. The recent documentary series “ War on Waste” studied in class has illustrated the pressure the media and the general public are placing on all organisations to be good corporate citizens. Your Marketing Director has asked you to produce a critical report that covers the following: a) The benefits and limitations of Corporate Social Responsibility. b) The strategic options available in dealing with social issues. c) The seven...
Dove’s Global ‘Real Beauty’ Campaign The Dove Campaign for Real Beauty is a worldwide marketing campaign...
Dove’s Global ‘Real Beauty’ Campaign The Dove Campaign for Real Beauty is a worldwide marketing campaign launched by Unilever in 2004 that includes advertisements, video, workshops, sleepover events and the publication of a book and the production of a play. The aim of the campaign is to celebrate the natural physical variation embodied by all women and inspire them to have the confidence to be comfortable with themselves. Dove's partners in the effort include such marketing and communications agencies as...
5/2 Discuss different methods to deploy the testing of your marketing campaign before launch. (Athletic wear...
5/2 Discuss different methods to deploy the testing of your marketing campaign before launch. (Athletic wear for plus-size women). Choose one method and customize it for the athletic clothing market. Apply Brea's (2014) "seasonally adjusting" analogy to the obstacles surrounding a lack of control group and randomization. Since this is a start-up business without marketing automation capabilities in the beginning, how can you ensure the validity and reliability of the testing results?
"A company is considering entering into a new marketing campaign. If it engages in this marketing...
"A company is considering entering into a new marketing campaign. If it engages in this marketing campaign, it must pay $10,000 immediately and $8,000 each at the end of year 1 and year 2. The company believes its annual revenues due to the marketing campaign will be $12,000 at the end of year 1, $10,000 at the end of year 2, and $7,000 at the end of year 3. What is the annual equivalent worth of this marketing campaign over...
Find an ongoing social media marketing campaign. Assess the components of the campaign in terms of...
Find an ongoing social media marketing campaign. Assess the components of the campaign in terms of whether and to what extent it offers a participation route for the social technographics segments. How could the campaign be improved to better engage people of varying levels of social media involvement? For example, Noon, Fordel, or something different
A brewery wants to conduct a Marketing campaign. Therefore the marketing department is interested in the...
A brewery wants to conduct a Marketing campaign. Therefore the marketing department is interested in the unknown Proportion of college students that buy beer. 425 customers were asked, and 351 of them where college students. a) Calculate the 99% Confidence Interval for the unknown proportion of buyers that are college students b) In order to conduct the campaign, the executive board demands, that more than 85% of the customers are college students. Test if this level is fulfilled up until...
16. Cholesterol levels were measured before and after patients were given a drug designed to lower...
16. Cholesterol levels were measured before and after patients were given a drug designed to lower their cholesterol. Test to see if cholesterol dropped with α = 0.01. Patient 1 2 3 4 5 6 7 8 9 10 11 12 13 Before 238 240 220 246 202 222 210 233 204 229 244 220 219 After 235 241 219 235 198 208 202 211 188 201 235 211 207 a) Determine the null and alternative hypotheses for this scenario....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT