Question

Assume that the samples independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal Complete parts and below Use a ated in the database to scores for a random sample of subjects with medium bad levels in the blood Ano Koledare statistics from a study done allo scores for a random sample of subjects with high 0.01 sine vel for both parts Hi Chide the conto the data table of IQ scores a. Test the date moan 10 scores for subjects with medium lead levels is higher than the mean for subjects with Highlead levels What are the mul and emaive hypotheses? Assume that population consists of subjects with medium head levels and population consists of subjects with high ad levels ОА н р ва ов, но и на IQ Scores H, OCAH OD. HOW Medium Lead Level High Lead Level на my 11 The best statistics (Round to two decimal places as needed) 88452 The P-valis (Round to three decimal places as needed) 510064 Suate the conclusion for the best O A Reject the null hypothesis. There is not sufficient evidence to support the dain the subjects with medium load levels have high 101 111 91 Click to select your answers) Print Done Ad Concentrar el Donate Creme crocs ALL WINDO SHOP NOW COMFORT

Answer 1

x₁ = 91, x₂ = 88.452, s₁ = 10.354, s₂ = 10.064, n₁ = n₂ = 11

H₀: µ₁ = µ₂

H₁: µ₁ > µ₂

_{Test statistic =}

[(x1 - x2)-(µ1-µ2)] / [((s12(n1-1) + s22(n2-1))/(n1+n2-2))^0.5*(1/n1+1/n2)^0.5]

= ((91-88.452)-0)/((((10.354*10.354*10)+(10.064*10.064*11))/(11+11-2))^0.5*(1/11+1/11)^0.5)

= 0.57

Degrees of freedom: df = n₁+n₂-2 = 11+11-2 = 20

p-value (Using Excel function T.DIST.RT(test statistic, df)) = T.DIST.RT(0.57,20) = 0.288

Do not reject H0, insufficient evidence.