to test the customer perception of a new flavoring for their fried chicken rom t
ID: 3323814 • Letter: T
Question
to test the customer perception of a new flavoring for their fried chicken rom two di er the follow ing three questions, based on the information provided below. A restaurant manager wants to test the le of 20 customei location 1 with the o The customer in the study are then given a questionnaire, on a numeric scale. Determine whethe lavoring in different branches of the restaurant. Half of the sample taste the fried chia n I and the other half taste the fried chicken with the new favoring in locati ng in location 1 there is a significant difference between the perceptions of the two nlavorings, ti scale. Determine en eren a questionnaire, which evaluates how enjoyable the fried chicken wa gs. Use a significance level of a-0.05 for the test and unequal population variances assumption. t-Test: Two-Sample Assuming Unequal Variances location)) docation3) 19.8 Mean 11.1 Variance 18.767 150.622 10 Observations Hypothesized Mean Difference df t Stat PCT ) one-tail t Critical one-tail P(T-t) two-tail 10 0 0,029 0.058 t Critical two-tail 17. What is the null and alternative hypotheses?Explanation / Answer
17.
Given that,
mean(x)=11.1
standard deviation , s.d1=4.332
number(n1)=10
y(mean)=19.8
standard deviation, s.d2 =12.272
number(n2)=10
null, Ho: u1 = u2
alternate, H1: u1 != u2
level of significance, = 0.05
from standard normal table, two tailed t /2 =2.262
since our test is two-tailed
reject Ho, if to < -2.262 OR if to > 2.262
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =11.1-19.8/sqrt((18.76622/10)+(150.60198/10))
to =-2.114
| to | =2.114
critical value
the value of |t | with min (n1-1, n2-1) i.e 9 d.f is 2.262
we got |to| = 2.11399 & | t | = 2.262
make decision
hence value of |to | < | t | and here we do not reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != -2.114 ) = 0.064
hence value of p0.05 < 0.064,here we do not reject Ho
ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: u1 != u2
test statistic: -2.114
critical value: -2.262 , 2.262
decision: do not reject Ho
p-value: 0.064
we do not have enough evidence to support the claim that difference between the perceptions of two flavourings
option:A
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