statistics
posted by Lily .
Can someone please explain to me the procedures for getting an answer to the questions. Step by step would be great since I'm very confused. I know it's probably simple.
* Numerous studies have demonstrated that listening to music while studying can improve memory. To demonstrate this phenomena, a researcher obtains a sample of college students and gives them a standardized memory test while they are listening to background music. under normal circumstances(without music), the scores on the test form a normalshaped distribution with a mean of lower case mu 25 and a standard deviation of lower case sigma 6. The sample produces a mean score of M=28.
a)If the sample consists of n=4 students, is this result sufficient to conclude that music had a significant effect on memory scores? Use a twotailed test with alpha level=.05
b) If the sample consists of n=36 students, is this result sufficient to conclude that the music had a significant event? Again, use a two test with alpha level= .05.

statistics 
MathGuru
Both parts are using onesample twotailed tests. Since the sample in part a) is so small, you can try a onesample ttest and for part b), a onesample ztest.
For the ttest:
tstatistic = (sample mean  population mean)/(standard deviation divided by the square root of the sample size)
Ho: µ = 25 >null hypothesis
Ha: µ does not equal 25 >alternate hypothesis
You can finish this calculation:
tstatistic = (28  25)/(6/√4)
Using a ttable at 0.05 level of significance for a twotailed test (alternate hypothesis does not show a specific direction) at 3 degrees of freedom (df = n  1 = 4  1 = 3), look for the value and remember it could be + or  that value because the results could be in either tail of the distribution.
Does the test statistic exceed the negative or positive critical or cutoff value from the ttable? If it does, the null is rejected in favor of the alternate hypothesis and you can conclude a significant difference. If it does not, then you cannot reject the null and conclude a difference.
For the ztest, everything is basically the same (even the formula), except for the sample size and using the ztable instead of a ttable. Here's a hint: for a twotailed test at alpha level .05 , the cutoff values are +/1.96 using a ztable.
I hope this will help get you started.
Respond to this Question
Similar Questions

Algebra
Find the zeros the function *could someone explain this to me step by step I'm very confused Y=x^2x42 
chemistry
What is the percent ionization of a 1.38 mol/L weak acid if its Ka = 2.7 x 106? 
chemistry
How would I go about doing this question, can someone explain it step by step please, my answer I keep getting is 1.17m CaCl2, but the answer is 1.35m CaCl2? 
math
I need help with this problem. If someone can do it step by step that would be great. I can't get the problem correct? 
Algebra
F=9/5C+32 Solve for C if someone could explain in a step by step way that would be great! 
Physics
Can someone please show me step by step how to normalize e^5x in the interval (0, infinity)? 
college algebra
Solve the following inequality. x^3+9x^2108 less or equal to 0. Then write your solution in interval notation. I am sooo confused and do not have any idea how to do this. Can someone please show me step by step please? 
calculusplease help!!
Solve the inequality. x^3+9x^2108 less than or equal to 0. Then write in interval noation. Please can you show me step by step on how you got the answer. I have tries and I am very confused. 
Math
Hi, Could you please show me a step by step worked solution to this question? 
Math
I need help solving the problem not the answer. (Multiple Choice) The steps below show the incomplete solution to find the value of x for the equation 7x + 8 − 3x = −6 + 10: Step 1: 7x + 8 − 3x = −6 + 10 Step 2: 7x + 8 − …