Question

A sample of 900 members has a mean of 3.4 and standard deviation (s.d.) 2.61. Is the sample drawn from a large population of mean 3.25?

Answer 1

Step-by-step explanation:

༆ ɑnswer ࿐

sample size = 900

mean of simple = 3.4cm

standard deviation of the sample = 2.61

population mean = 3.25

population standard deviation = 2.61

students " t =

mean of sample — population mean / standard deviation of the sample/ sample size

Find

the probability that -1.7241 < = t < 1.7241 from the student "t distribution table or from a website that calculated this.

here are the degree of freedom (d.f) are 899

the probability we get is 0.915. Hence, we can say that the sample belongs to the population with a probability 0.915 or a confidence level of 91.5 %.

the population is normal we don't know its means we know simple said mean and standard deviation. we are giving confidence level 95% = 0.95

normal distribution variable :

Z = at same formula...

that's will be the range of the population mean that we will estimate from the available sample data ...

hope it may help you...

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