The data in the accompanying table gives the food segment (burger, chicken, pizza, or sandwich) and average sales per unit ($ thousands) for each of 28 quick-service brands. Complete (a) through (d) below. Click here to view the data table a. At the 0.05 level of significance, is there evidence of a difference in the mean U.S. average sales per unit ($ thousands) among the food segments? Determine the hypotheses. Choose the correct answer below. O A. Ho H= H2 =... =H4 H;: Not all , are equal (where j = 1,2,.4) O B. Ho H =H2 =.. = 28 H,: Not all u, are equal (where j= 1,2,.28) OC. Ho H1 = 2= H4 O D. Ho H = 2=. 28 b. Find the test statistic. FSTAT = (Round to two decimal places as needed.) c. Determine the critical value. F = (Round to two decimal places as needed.) d. Reach a decision. V Ho. There is V evidence of a difference in the mean U.S. average sales per unit among the food segments.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![The data in the accompanying table gives the food segment (burger, chicken, pizza, or sandwich) and average sales per unit ($ thousands) for each of 28 quick-service brands. Complete (a) through (d) below.
Click here to view the data table,
a. At the 0.05 level of significance, is there evidence of a difference in the mean U.S. average sales per unit ($ thousands) among the food segments? Determine the hypotheses. Choose the correct answer below.
O A. Ho: H1= H2 = ••• = H4
H1: Not all Hj are equal
(where j= 1,2,..,4)
O B. Ho: H1= H2 = ••: = H28
H1: Not all H are equal
(where j= 1,2,.,28)
O C. Ho: H1= H2 = • • • = H4
H1: µ1 H2 ••• +4
O D. Ho: H1 = µ2 = • • • = H28
H1: H1 H2# ••• µ28
b. Find the test statistic.
ESTAT = (Round to two decimal places as needed.)
c. Determine the critical value.
Fa = (Round to two decimal places as needed.)
d. Reach a decision.
Hn. There is
V evidence of a difference in the mean U.S. average sales per unit among the food segments.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafc75c11-f74c-4700-aac3-dcc346278078%2F37da8170-65d8-4eb9-9ec4-cb2c23a329dd%2F7pgquqb_processed.png&w=3840&q=75)
![Burger
Chicken
Pizza
Sandwich
2512
2823
1301
482
1520
965
872
2457
1185
1281
646
932
1309
1734
2596
873
1422
733
1133
366
2144
1281
213
2405
1260
986
724
893](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafc75c11-f74c-4700-aac3-dcc346278078%2F37da8170-65d8-4eb9-9ec4-cb2c23a329dd%2Fsz845e_processed.png&w=3840&q=75)
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