(detailed explaination not necessary as this platform is eing used to check my answers to the problems)

(please place solutions to 4 decimal places)

1 Suppose you calculated 45 confidence intervals with confidence level 95%. Approximately how many of the intervals would you expectnottocontain the parameter being estimated ? (Round up to the nearest whole number)

2 Suppose thatY_i,i=1,2,...n follows a new distribution called spectacular with parameter.It is known that:

Suppose a sample ofsize10isavailablewith.

Calculate the two-sided99% confidence interval for.

The lower limit is given by

Theupper limitis given by

3 A random sample from a normal populationdistributionof68WST121Semestertest1scores have a sample mean ofx(with a line on top)=32.81 and a standard deviation of(standard deviation with a cup on top) =8.47.

Calculate the lower bound of aleft-sided99%confidenceinterval for the population mean

4 A random sample from a normal population distribution of 16 WST121 Semester test 1 scores have a sample mean of x(with a line on top)=88 and a standard deviation of(standard deviation with a cup on top)=0.87.

Calculate the lower bound of a left-sided 95% confidence interval for the population variance

5 Suppose we have a random sample from a normal distribution with mean and varianceboth unknown. Suppose our sample is of size n = 50 with sample mean= 71 and sample standard deviation s = 0.48. Calculate theupper limit of the two-sided 90% confidence interval for .

6 The quality assurance department at Apple Inc took a random sample of 741 newly manufactured iPhones and found that 31 of them were defective. What is the lower limit of the two-sided 95% confidence interval for p, the true proportion of defective iPhones, based on this sample ?

7 Suppose we wanted to estimate the true average number of goals Kaizer Chiefs will score with 95% confidence. The margin of error we are willing to accept is 0.8 (which is half of the width of the confidence interval). Suppose we also know that the sample standard deviation is about 17.

Calculate the sample size that we should use (Round your answer to the nearest whole number)