Reachers investigated the speed with which consumer decide to purchase a product
ID: 3152415 • Letter: R
Question
Reachers investigated the speed with which consumer decide to purchase a product. The researchers hers theraized that consumer with last names that begin with letters later in the alphabets will bend to acquire terms than those whose last names begin with letters earlier in the alphabets called the last name effect MBA students were offered tickets to a baskets game. The first letter of the last name of respondents and their response times response were noted. The researches compared the response times name of response times for groups (1) those with last names beginning with a letter A_L, and (20 those with last names beginning a letter,R-Z, Summary statics for the two groups are provided in the accompanying table, complter parts a and b below Constructs a 90% confidence interval for th difference between the true means resonse time for MBA students in the two groups The 90% confidences interval isExplanation / Answer
CI = x1 - x2 ± t a/2 * Sqrt ( sd1 ^2 / n1 + sd2 ^2 /n2 )
Where,
x1 = Mean of Sample 1, x2 = Mean of sample2
sd1 = SD of Sample 1, sd2 = SD of sample2
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x1)=24.86
Standard deviation( sd1 )=11.45
Sample Size(n1)=25
Mean(x2)=17.93
Standard deviation( sd2 )=8.26
Sample Size(n2)=25
CI = [ ( 24.86-17.93) ±t a/2 * Sqrt( 131.1025/25+68.2276/25)]
= [ (6.93) ± t a/2 * Sqrt( 7.97) ]
= [ (6.93) ± 1.711 * Sqrt( 7.97) ]
= [2.1 , 11.76]
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