Each person in a random sample of 224 male teenagers and a random sample of 307

Question

Each person in a random sample of 224 male teenagers and a random sample of 307 female teenagers was asked how many hours he or she spent online in a typical week. The sample mean and standard deviation were 15.3 hours and 11.3 hours for males and 14.3 and 11.7 for females. (Use a statistical computer package to calculate the P-value. Use males females. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)

Is there enough evidence to show that mean number of hours spent online in a typical week is greater for male teenagers than for female teenagers? Use a 0.05 significance level.

Yes

No

Explanation / Answer

here std error of difference =(s12/n1+s22/n2)1/2 =1.008

hence test stat=(X1-X2)/std error =(15.3-14.3)/1.008=0.9921

df =(((s12/n1+s22/n2)2/((s12/n1)2/(n1-1)+(s22/n2)2/(n2-1)) =489 considering unequal variance

p value =0.161

No

please revert for df.

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