A research suspects that math skills influence hand-eye coordination. A sample o

Question

A research suspects that math skills influence hand-eye coordination. A sample of n = 5 students who have demonstrated above average performance on a second-grade math achievement test is selected. These students are given a standardized hand-eye coordination task where the average score for this age group is µ = 55. Below are the 5 scores obtained by these students: 65, 61, 58, 65; 66 The research suspects that there is a relationship between math skills and hand-eye coordination, but is not predicting a direction for this effect. Use alph = .01, in testing this hypothesis. Step 1: State the Research Problem: Step 2: State the null hypothesis and research hypothesis Unsaved Step 3: Create a decision rule (find the critical values): Critical values and decision rule: Step 4: Collect Data and Compute Observed Test Statistic: Sample's Mean: Sample's standard deviation: Estimated Standard error: Observed t The effect size is Step 5: Make a Decision Step 6: Interpret and Report the Results:

Explanation / Answer

Here we have to test the hypothesis that,

H0: mu = 55 Vs H1 : mu 55

where mu is population mean.

Assume alpha = 1% = 0.01

n = 5

We have given 5 data values.

Here sample size is small and sample data is given so we use one sample t-test.

This we can done using MINITAB.

steps :

Enter data in MINITAB sheet --> Stat --> Basic Statistics --> 1:Sample t (Test and Confidence Interval) --> Samples in columns : select data column --> Perform hypothesis test --> Hypothesized mean : 55 --> Options --> Confidence level : 99.0 --> Alternative : not equal --> ok --> ok

Output is :

One-Sample T: C1

Test of mu = 55 vs not = 55

Variable N Mean StDev SE Mean 99% CI T P
C1 5 63.0000 3.3912 1.5166 (56.0175, 69.9825) 5.28 0.006

The test statistic t = 5.28

P-value = 0.006

P-value < alpha

Accept H0 at 1% level of significance.

Conclusion : There is sufficient evidence to say that population mean is 55.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.