a) A study was conducted to compare the difference in time spent per week (in hour) on watching television by tow programs' students (Program A and Program B). Ten samples were selected from both...

Extracted text: a) A study was conducted to compare the difference in time spent per week (in hour) on watching television by tow programs' students (Program A and Program B). Ten samples were selected from both programs. Based on the MINITAB output given below, answer the following questions. Assume that the distribution of time spent watching television is normally distributed. Two-sample T-Test and CI : Program A, Program B SE Mean Sample Program A Program B Mean StDev 10 21.30 3.40 1.1 10 20.50 2.12 0.67 Difference = mu (Program A) Estimate for difference: 95% CI for difference: T-Test of difference = 0 (vs #) :T-Value 0.63 P-Value = 0.536 DF = 18 mu (Program B) 0.80 (-1.86, 3.46) Both use Pooled StDev = 2.8332 Are the two samples independent? State the null and alternative hypothesis. What is the p-value in the above analysis? Is there sufficient evidence to conclude a difference in the time spent per week (in hour) on watching television by the two programs' students at 5% significance level. i) ii) (1 mark) (2 marks) (1 mark) iv) (2 marks) b) A researcher conducted a survey on monthly mobile data bill (RM) by students. A random sample of 15 students were selected and the data were recorded as follows. Assume that the monthly mobile bill is normally distributed. 35 28 26 43 36 40 37 25 39 36 20 11 32 34 24 i) Calculate using formula the sample mean and the variance of the monthly mobile data bill ii) deviation of monthly mobile data bill. (3 marks) Construct the 90% confidence interval to estimate the standard (4 marks)