A researcher is interested in whether children 12 and under can learn to play an instrument at a different rate than people 12 and over. After reading more on the subject, she found that the population average of length of time it takes to learn to play an instrument takes an average of 17 months. She then sampled 10 children 12 and under interested in learning to play an instrument and recorded how long it took them to learn it. The data are included below; using an alpha level of 0.05 and a two-tailed test, use the four steps of hypothesis testing to test the hypothesis that children 12 and under can learn to play an instrument at a different rate than the general population. Based on this information, answer the following questions using the appropriate hypothesis test. What is the appropriate hypothesis test? t-test Step #1: State the Null (Ho) and Alternative (H) Hypotheses Ho HGeneral Population H, HGeneral Population '#' H12 and under HH12. 2 and under Step #2: Set the Rejection Criteria a = 0.05 2 df = 9 -tailed test (Note: Type in number(s) not letter(s).) t = CV = + 2.262 (Do not round) Step #3: Collect and Compute Sample Statistics = 17 (Round to the hundredths place) M = 10 (Round to the hundredths place) SM => = 12.65 x (Round to the hundredths place) SX = = 2.11 (Round to the hundredths place) sx2 + = 4.44 t = obt = = -0.55 d = 3.32 (Round to the hundredths place) x (Round to the thousandths place) (Round to the hundredths place) Months: 12, 12, 11, 11, 9, 12, 10, 6, 10, 7 Step #4: Make a Decision Decision: Fail to Reject HO APA Paragraph: A researcher was interested in whether children 12 and under can learn to play an instrument at a different rate than people 12 and over. Thus, she sampled 10 children 12 and under interested in learning to play an instrument and recorded how long it took them to learn it (n = 10 , M = 10 SX = 2.11 ) = -0.55 x,p > x .05, d = 3.32 ) and compared it to the average time the average of length of time it takes the general population over 12 to learn to play an instrument ( = 17 ). After conducting a single-sample t do not learn to play an instrument significantly different (t( 9 -test, she found that children under 12 ) from the average time it takes the general population 12 and over. Based on her sample, the researcher can conclude that children 12 and under do not learn to play an instrument significantly shorter than the general population 12 and over.