Question

Compare the different Genders of subjects in the Psych_Data.xlsx data set to determine if there is a statistically significant difference in the mean Anxiety Scores (anx_score) between the different gender groups. Be sure to state the type of test, state the Ho and Ha, include all relevant Excel results and plots, and write final conclusions for the full results of the test in context. Be sure that your final conclusions are written in common terms for an average person to understand.

(a) What type of hypothesis test will you run? MY ANSWER Independent samples T-Test for a significant difference in means.

(b) State the Ho and Ha. MY ANSWER, Ho: μ1= μ2 Ha: μ1 > μ2 where μ1= male anxiety and μ2= female anxiety OR/AND

_{Ho; there is no significant difference in the} means of the two populations

Ha; There is a significant difference in the means of the two populations

HELP.>>>>>>(c) Include descriptive statistics (mean, standard deviation, sample size) AND an appropriate graphical display that allows you to visually compare the Anxiety Scores for the two gender groups. Copy/paste the numerical summaries and graph here AND describe the similarities and differences in the Anxiety Scores of the two groups (address central tendency and variation of the two groups in your discussion).

HELP>>>>(d) Give the test statistic, p-value, and decision from your test results.

HELP>>>>(e) Write a full conclusion (in context) for the results on this test in a way that can be understood by a non-statistical person.

t-Test: Two-Sample Assuming Unequal Variances Male Anxiety 5.479710145 1.086935209 FAnxiety 5.762295082 1.302721311 61 Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0 122 -1.466934495 0.072483478 1.657439499 0.144966957 1.979599878

Answer 1

a)
since the two groups of males and females are independent of each other, I use T-Test for Independent samples.

b)
Ho: there is no significant difference in the mean anxiety between males and females. μ1=μ2
H1: there is a significant difference in the mean anxiety between males and females. μ1=μ2 (two-tailed test)
where μ1= male anxiety and μ2= female anxiety

c)
the mean anxiety score for males (M=5.47, SD= sqrt(1.08)) is same as that of females (M=5.76, SD= sqrt(1.3027))

t-Test: Two-Sample Assuming Unequal Variances Male Anxiety 5.479710145 1.086935209 FAnxiety 5.762295082 1.302721311 61 Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0 122 -1.466934495 0.072483478 1.657439499 0.144966957 1.979599878


Bar Chart anxiety male female Gender

d)

t-Test: Two-Sample Assuming Unequal Variances Male Anxiety 5.479710145 1.086935209 FAnxiety 5.762295082 1.302721311 61 Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0 122 -1.466934495 0.072483478 1.657439499 0.144966957 1.979599878

t = -1.4669

p-value = 0.1449

With t=-1.4669, p>5%, I fail to reject the null hypothesis at 5% level of significance and conclude that there is no significant difference in the mean anxiety between males and females. μ1=μ2

e)

there is no sufficient evidence to support the claim that there is a significant difference in the mean anxiety between males and females.