= 1

Can anyone please help me answer question 4 from (A(i, ii) to C)?

I am suffering A LOT..

(a) (b) (C) A construction company is developing a machine to make bricks. A sample of (45 + 50) bricks (where 59 = 5 times 9) made by the machine were weighed with sample mean 5.6 lbs, where \"lbs\" is pounds. Assume that the weight of bricks has a distribution with standard deviation 0 = 0.5 lbs. (i) Find the 95% condence interval for the true mean weight of bricks made by the machine. [3 marks] (ii) To satisfy building standards, bricks must have error in weight of :|:0.05 lbs from the mean weight. At 95% condence level, what is the minimum number of bricks which must be weighed to make sure that the machine is making bricks satisfying building standards? [3 marks] The heights of 8 Japanese men were taken with sample mean of 155 cm (centimeters) and standard deviation 5 cm. The heights of 6 Japanese women were taken with sample mean of 130 cm and standard deviation 4 cm. Assuming that the population standard deviations for heights of Japanese men and w0men are both the same, construct the 95% cOndence interval for the difference in mean heights between Japanese men and women. [8 marks] Suppose the Japanese Health AuthOrity conducts a c0untry wide survey to assess if men or women have the same likelihood of getting infected with COVID-lQ. A random sample of (500 + 109) men (where 109 = 10 times S2) and 400 women were selected, and 50% of these men and 45% of these women were infected with COVID-IQ, respectively. What is the 91.98% condence interval for the true difference in proportion of men and women who get infected with COVID-19. [6 marks]