In: Statistics and Probability
Fusella (1970) had participants watch a screen, looking for brief presentations of a small blue arrow. On some trials, the participants were also asked to form a mental image. The number of errors in the task was counted. The results for a sample of n = 6, show that MD = 4.3 The difference score had SS = 63. Do the data indicate a significant difference between the two conditions: forming a mental image and not forming a mental image? Use a two-tailed test with α = .05
A) The alternative hypothesis in words is:
The number of errors when participants form a mental image is not significantly different from the number of errors when participants do not form a mental image.
The number of errors when participants form a mental image is significantly different from the number of errors when participants do not form a mental image.
The number of errors when participants form a mental image is not significantly greater than the number of errors when participants do not form a mental image.
The number of errors when participants form a mental image is significantly greater than the number of errors when participants do not form a mental image.
B)
The null hypothesis in symbols is
Group of answer choices
H0: µ1= µ2
H0: µ1> µ2
H0: µD= 0
H0: µD> 0
H0: µD≠ 0
H0: MD = 4.3
H0: MD ≠ 4.3
H0: µD≤ 0
C)
The critical t-values are
Group of answer choices
±4.032
±3.365
±2.571
±2.015
D)
The t-statistic is
If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point. Please do not round.
E)
Your decision is
Group of answer choices
Reject the null hypothesis and conclude that the number of errors when participants form a mental image is significantly different from the number of errors when participants do not form a mental image
Reject the null hypothesis and conclude that the number of errors when participants form a mental image is not significantly different from the number of errors when participants do not form a mental image
Fail to reject the null hypothesis and conclude that the number of errors when participants form a mental image is significantly different from the number of errors when participants do not form a mental image
Fail to reject the null hypothesis and conclude that the number of errors when participants form a mental image is not significantly different from the number of errors when participants do not form a mental image.