Question

The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of two English courses with a standard deviation of 0.9. The females took an average of three English courses with a standard deviation of 1.2. Are the means statistically the same? (Use

α = 0.05)

NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

a.) State the distribution to use for the test. (Enter your answer in the form z or t_df where df is the degrees of freedom. Round your answer to two decimal places.)

I got t₄₃ and it's wrong

Answer 1

given No. of malee - 29 No. of females -16 for males s=2 S.D=0.9 for females Xy - 3, SD = 1.2 hull and allerhative hypothesis Ho: Mi=42 two lailed lest Hi Mizig (-xa - (Mara) ta t na 2-3 ta = -2.912 (9)? a 22 .. CS Scanned with CamScanner

Enougn Evidence to claim that Degress of freedom - 24.491 Caitical value te=2.069 (doncs, afan49) SA = +6=2.069 P-value 0.0075 Pvalue co.05 Conclusion it is concluded that the Ho is reseled there is Population meen Mi is different than ug at the 6.os Significance level CS Scanned with CamScanner