Question

A study was done to measure customer satisfaction for 4 different smart phones. The data is given below (the data is a satisfaction score, out of 100; the higher the score, the more satisfied the customer was with their phone)

1. iPhone | 2. Nokia | 3. Blackberry | 4. Android | |

Sample Size | 5 | 4 | 3 | 4 |

Sample Mean | 83.0 | 66.5 | 73.0 | 77.0 |

Overall Mean = 75.5

MSE = 20.54

a) Run a one-factor ANOVA and test H0: μ1 = μ2 = μ3 = μ4 at the 5% level of significance. Set up an ANOVA table (show your work calculating SSC, sum of squares between groups), state H0 and Ha in words, calculate the value of your test statistic, and make your decision/draw your conclusion. Make sure your conclusion is given in words that are in the context of the question.

b) Use the Tukey-Kramer procedure to test H0: μ1 – μ3 = 0 vs Ha: μ3 – μ4 ≠ 0 at the 5% level of significance. What is your decision? You must also clearly state your conclusion in words

Answer #1

(a) The hypothesis being tested is:

H0: µ1 = µ2 = µ3 = µ4

Ha: At least one means is not equal

xi | n | n*(xi - xgrand)² | |||

iPhone | 83 | 5 | 281.25 | ||

Nokia | 66.5 | 4 | 324 | ||

Blackberry | 73 | 3 | 18.75 | ||

Android | 77 | 4 | 9 | ||

xgrand | 75.5 | SSB | |||

633 | |||||

Source | SS | df | MS | F | p-value |

Between | 633 | 3 | 211 | 10.27264 | 0.001238 |

Error | 246.48 | 12 | 20.54 | ||

Total | 879.48 | 15 |

The p-value is 0.001238.

Since the p-value (0.001238) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that at least one means is not equal.

(b)

Group | Mean Difference | HSD | Significant Difference |

μ1 – μ3 | 10 | 5.099229 | Yes |

Therefore, we can conclude that μ3 – μ4 ≠ 0.

A study was done to measure customer satisfaction for 4
different smart phones. The data is given below (the data is a
satisfaction score, out of 100; the higher the score, the more
satisfied the customer was with their phone)
1. iPhone
2. Nokia
3. Blackberry
4. Android
Sample size
5
4
3
4
Sample mean
83.0
66.5
73.0
77.0
Overall mean = 75.5 MSE = 20.54
1) (a) Run a one-factor ANOVA and test H0: μ1 = μ2 =...

The following data were obtained for a randomized block design
involving five treatments and three blocks: SST = 510, SSTR = 370,
SSBL = 95. Set up the ANOVA table. (Round your value for F
to two decimal places, and your p-value to three decimal
places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Treatments
Blocks
Error
Total
Test for any significant differences. Use α = 0.05.
State the null and alternative hypotheses.
H0: Not...

A magazine uses a survey of readers to obtain customer
satisfaction ratings for the nation's largest retailers. Each
survey respondent is asked to rate a specified retailer in terms of
six factors: quality of products, selection, value, checkout
efficiency, service, and store layout. An overall satisfaction
score summarizes the rating for each respondent with 100 meaning
the respondent is completely satisfied in terms of all six factors.
Sample data representative of independent samples of Retailer A and
Retailer B customers...

The following data refers to yield of tomatoes (kg/plot) for
four different levels of salinity. Salinity level here refers to
electrical conductivity (EC), where the chosen levels were EC =
1.6, 3.8, 6.0, and 10.2 nmhos/cm. (Use i = 1, 2, 3, and 4
respectively.) 1.6: 59.7 53.3 56.1 63.3 58.9 3.8: 55.1 59.7 52.8
54.6 6.0: 51.9 48.8 53.8 49.4 10.2: 44.2 48.6 40.9 47.6 46.3 Use
the F test at level α = 0.05 to test for any...

The following data was reported on total Fe for four types of
iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 =
hematite).
1:
21.0
28.1
27.8
27.0
27.5
25.2
25.3
27.1
20.5
31.3
2:
26.7
24.0
26.2
20.2
23.8
34.0
17.1
26.8
23.7
24.6
3:
30.1
34.0
27.5
29.4
28.0
26.2
29.9
29.5
30.0
35.6
4:
36.3
44.2
34.1
30.3
32.1
33.1
34.1
32.9
36.3
25.7
Carry out an analysis of variance F test at
significance...

A study of the properties of metal plate-connected trusses used
for roof support yielded the following observations on axial
stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12
in:
4: 342.2 409.5 311.0 326.5 316.8 349.8 309.7
6: 420.1 347.2 361.0 404.5 331.0 348.9 381.7
8: 398.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 366.7 452.9
461.4 433.1 410.6 384.2 362.6
12: 417.4 441.8 419.9 410.7 473.4 441.2 465.8
Does variation in plate length have any effect...

A consumer product testing organization uses a survey of readers
to obtain customer satisfaction ratings for the nation's largest
supermarkets. Each survey respondent is asked to rate a specified
supermarket based on a variety of factors such as: quality of
products, selection, value, checkout efficiency, service, and store
layout. An overall satisfaction score summarizes the rating for
each respondent with 100 meaning the respondent is completely
satisfied in terms of all factors. Suppose sample data
representative of independent samples of...

A consumer product testing organization uses a survey of readers
to obtain customer satisfaction ratings for the nation's largest
supermarkets. Each survey respondent is asked to rate a specified
supermarket based on a variety of factors such as: quality of
products, selection, value, checkout efficiency, service, and store
layout. An overall satisfaction score summarizes the rating for
each respondent with 100 meaning the respondent is completely
satisfied in terms of all factors. Suppose sample data
representative of independent samples of...

The following table lists the number of pages in four different
types of magazines.
Home
decorating
News
Health
Computer
175
89
84
109
287
97
154
139
165
124
91
101
208
107
107
208
200
104
98
149
Using a significance level of 5%, test the hypothesis that the four
magazine types have the same average length. (Let 1 = Home
decorating, 2 = News, 3 = Health and 4 = Computer.)
Part (a)
State the null hypothesis.
H0:...

How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.3
13.6
22.9
17.2
23.8
9.1
20.6
16.1
14.1
11.3
7.3
14.3
8.9
8.6
12.4
15.5
11.9
6.6
7.6
10.5
19.7
9.9
Shall we reject or not reject...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 4 minutes ago

asked 10 minutes ago

asked 15 minutes ago

asked 24 minutes ago

asked 36 minutes ago

asked 37 minutes ago

asked 48 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago