
What is the standard error of the difference between two sample proportions,

Important Questions on Tests of Significance – Basic Concepts and Large Sample Tests
The label on a jar of jam carries the words 'minimum contents '.
Explain why, in practice, the average contents need to be greater than .

What is the standard error of the difference between two sample proportions,

Find standard error of the sample proportion when the population proportion is and the given sample size is

The label on a jar of jam carries the words 'minimum contents '.
The mass of jam dispensed by a machine used to fill the jars is a normally distributed random variable with mean . The variance of the mass of the jam, in , dispensed by the machine is . Each week there is a check to see if the mean mass dispensed by the machine is . One particular week a sample of eight jars is checked. The mean mass of jam in these jars is . Carry out an appropriate hypothesis test at the level of significance, stating any assumptions you have made.

describe in detail : standard error of a statistic

Calculate standard error of the sample means, when sample mean is , sample size is and population standard deviation is .

The given length of time a charged smartphone battery will last is normally distributed with mean hours. The variance of the time taken, in minutes, for the smartphone to work is . The variance of the length of time time taken, in hours squared, for the battery to last is . Sami tests a random sample of five batteries;
the sample mean time is hours. Investigate at the level of significance whether the time batteries last is less than the time given, stating any assumption(s) you make.


Calculate standard error of the sample means, when sample mean is , sample size is and population standard deviation is .

What is the standard error of the sample proportion under ?



Calculate standard error of the sample mean, when sample mean is , sample size is and population standard deviation is

The manufacturer of a certain smartphone advertises that the average charging time for the battery is minutes with standard deviation minutes. Owners of these smartphones suggest that the time is longer. A random sample of the phones were charged from to and their times, in minutes, are as follows.
Investigate at the level of significance whether or not the manufacturer's claim is justified, stating any assumption(s) you have made.

Define standard error of a statistic



What is the standard error of the difference between two sample proportions,

If , and , then calculate standard error of

The standard error of the sample proportion under ?

