In a test for one population mean, if the null hypothesis is rejected when the alternative hypothesis is true then:

Consider a weighted coin with 29% probability of landing heads. 

If this coin is tossed 5 times, what is the probability of getting exactly 2 heads?

Enter your answer as a decimal number.

If the confidence level of a CI increases then the value of the multiplier

The length of a pregnancy is normally distributed with mean 268 days and standard deviation 15 days. What is more likely to find?

The anual income of single adults in Canada is normally distributed with a mean of $45,000 and a standard deviation of $10,000. It the z-score of the income of an individual is 3.5 then 

We could use a -test to investigate

The anual income of single adults without a university degree in Canada is normally distributed with a mean of $35,000 and a standard deviation of $10,000. The average rent of a 1-bedroom condo in the Lower Mainland is about $1,500 a month. In addition the average cost of utilities (Internet, Heat, Hydro) is about $300 a month. What proportion of single individual will not be able to afford their rent and utilities?