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solve the following question:(show you work clearly) 1. 1. Here are several situ

ID: 3176610 • Letter: S

Question

solve the following question:(show you work clearly)

1. 1. Here are several situations where there is an incorrect application of the ideas presented in this section. Write a short paragraph explaining what is wrong in each situation and why it is wrong (a) A researcher tests the following null hypothesis: Ho 53. (b) A random sample of size 36 i taken from a population that is assumed to have a standard deviation of 10. The standard deviation of the sample mean is 10/36. (c) A study with E 85 reports statistical significance for Ha Au 90 (d) A researcher tests the hypothesis Ho 100 and concludes that the population mean is equal to 100 exactly.

Explanation / Answer

a) as hypothesis has been tested for a parameter and not for a statisitc; here Xbar is sample mean which is statistic

b) as std deviation of sample mean =10/(36)1/2

c)as we are testing for one tail test with right tail, here test statisitc will be -ve and can not be significant

d) here null hypothesis has been tested for if we can reject that mean is equal to 100 or not , not been tested for exact value establishment,