Out of 2000 people surveyed, 1200 belong to urban areas and rest to semi urban areas. Among 1000 who visited other regions, 800 belonged to urban areas. Test at 5% level of significance whether area and visiting other states are dependent.

A machine is designed so as to pack 300ml of a solution with a standard deviation of 5ml. A sample of 150 bottles when measured had a mean content of 201.3ml. Test whether the machine is functioning properly.(use 5% level of significance)

From a population known to have a standard deviation of 1.4, a sample of 70 individuals is taken. The mean of this sample is found to be 6.2. Find the standard error of the mean. Also establish an interval estimate around the sample mean using one standard deviation of the mean.

A random sample of 6 sachets of mustard oil was examined and two were found to be leaking. A wholesaler receives seven hundred twenty six packs , each containing 6 sachets. Find the expected number of packets to contain exactly one sachet leaking?

The probability that a football player will play Eden garden is 0.6 and on Ambedkar Stadium is 0.4. The probability that he will get knee injury when playing in Eden is 0.07 and that in Ambedkar stadium is 0.04. What is the probability that he would get a knee injury if he played in Eden.

From a population known to have a standard deviation of 1.4, a sample of 70 individuals is taken. The mean of this sample is found to be 6.2. Find the standard error of the mean. Also establish an interval estimate around the sample mean using one standard deviation of the mean.

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Thanks!

A machine is designed so as to pack 300ml of a solution with a standard deviation of 5ml. A sample of 150 bottles when measured had a mean content of 201.3ml. Test whether the machine is functioning properly.(use 5% level of significance)

Hi, dreammagic!

This is the thread of someone else. Also, this place doesn't work the same way that a chat room does.

If you want your question to be recognized as being your own, it would be best if you started a new thread rather than piggybacking your question on the thread of someone else.

Thanks!