A population is distributed with a known standard deviation, σ = 15 units. A random sample of size 50 is obtained from this population. The mean of this sample is 80. True or False: Since the sample size is greater than 25 the distribution of sample means from this population should be approximately normally distributed. 2. What is the lower limit of the 95% confidence interval for the population mean μ? (2 dp) distributed. 3. What is the upper limit of the 95% confidence interval for the population mean μ? (2 dp) 4. Based on your confidence interval, would you believe that the true mean of this population could be 85?
A population is distributed with a known standard deviation, σ = 15 units. A random sample of size 50 is obtained from this population. The mean of this sample is 80.
- True or False: Since the
sample size is greater than 25 the distribution of sample means from this population should be approximatelynormally distributed.
2. What is the lower limit of the 95% confidence interval for the population mean μ? (2 dp) distributed.
3. What is the upper limit of the 95% confidence interval for the population mean μ? (2 dp)
4. Based on your confidence interval, would you believe that the true mean of this population could be 85?
As per our guidelines, we are allowed to answer first three sub-parts . Thanks
1) We know that if the sample size is greater than 30 , according to Central limit theorem , the distribution can be approximated using normal distribution
Here n = 50
"True"
σ = 15 units
The mean of this sample , = 80
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