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The data below is your data set for your mini lab. For this assignment, you are the researcher. You gave the facial recognition lab to 40 students, 20 males and 20 females. The data set below contains the number of correct hits for each subject. Complete the calculations below based on the data provided.Males 5 5 8 5 6 7 4 5 3 4 8 5 10 6 5 5 8 7 5 6Females 9 8 7 7 9 8 8 8 9 10 7 9 8 9 7 9 8 7 9 7 .Calculate the mean number of correct responses (hits) for male subjects. Round to the nearest hundreths place2. Calculate the Standard Deviation (SD) of the correct reponses for male subjects. Round to the nearest hundreths place3. Calculate the Standard Error of Mean (SEM) of correct responses for male subjects. Round to the nearest hundreths place.4. Calculate the mean number of correct responses (hits) for female subjects. Round to the nearest hundreths place5. Calculate the Standard Deviation (SD) of the correct reponses for female subjects. Round to the nearest hundreths place6. Calculate the Standard Error of Mean (SEM) of correct responses for female subjects. Round to the nearest hundreths place.7. Use a statistical software program or your favorite stats website and find the t value for an unpaired 2 sample t test using the data from the 2 groups, the males and females.8. What is the degree of freedom associated with this t test.9. The p value associated with the t value isa. less than .05b. greater than .05c. I have no idea10. Based on your calculations, would you reject the null hypothes that there is no difference between males and females on this recognition task?a. Yes, I would reject the null hypothesis.b. No, I would not reject the null hypothesis.c. I have no idea.

Respuesta :

Answer:

Reject the null hypothesis that there is no difference between males and females on the recognition task.

Step-by-step explanation:

Use MS-Excel to compute the required values.

Consider the data for male subjects first:

  • Mean = [tex]\frac{1}{20}\sum X_{m}}=5.85[/tex]
  • SD = [tex]\sqrt{\frac{1}{20-1}\sum (X_{m}-\bar X_{m})^{2}}=1.69[/tex]
  • SEM = [tex]\frac{SD}{\sqrt{20}}=0.38[/tex]  

Consider the data for female subjects:

  • Mean = [tex]\frac{1}{20}\sum X_{f}}=8.15[/tex]
  • SD = [tex]\sqrt{\frac{1}{20-1}\sum (X_{f}-\bar X_{f})^{2}}=0.93[/tex]
  • SEM = [tex]\frac{SD}{\sqrt{20}}=0.21[/tex]  

Use the Data Analysis tool in Excel to perform the hypothesis test.

The hypothesis can be defined as follows:

H₀: There is no difference between the two responses, i.e.[tex]\mu_{m}-\mu_{f}=0[/tex] .

Hₐ: There is a significant difference between the two responses, i.e.[tex]\mu_{m}-\mu_{f}\neq 0[/tex] .

Consider the Excel output for the hypothesis test.

The test statistic value is:

t = -5.32

The degrees of freedom is:

df = 38

The p value associated with the t value is:

p-value =  4.91025E-06  < 0.05

As the p-value is less than the significance level the null hypothesis will be rejected.

Conclusion:

Reject the null hypothesis that there is no difference between males and females on the recognition task.

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