A sample is given with variance 9. To obtain 99% confidence interval of length L =0.4, the sample
size n is
Select one:
a. 1494
b. 1400
O c. 1350
d. 1500
Answers
Answer:
and a standard deviation (also called the standard error): For the standard normal distribution, P(-1.96 < Z < 1.96) = 0.95, i.e., there is a 95% probability that a standard normal variable, Z, will fall between -1.96 and 1.96.
...
Answer:
b. 1400
Explanation:
Standard error, also known as a standard deviation P(-1.96 Z 1.96) = 0.95 for the standard normal distribution, meaning there is a 95% chance that a standard normal variable, Z, will fall between -1.96 and 1.96.
The range of values you anticipate your parameter to fall inside if you repeat the test more than once is known as the confidence interval. Let's look at an actual-world scenario to illustrate confidence intervals. Becky wants to determine the typical weight of the homemade muffins she sells. One muffin came out of the oven weighing a staggering 160 grammes (5.64 oz), which was significantly larger than she had anticipated. She discovered that 99.9% of her muffins weigh between 121 and 139 grammes (4.27-4.9 oz).
The weight range for Becky's muffins falls within the 99% confidence interval of 121 to 139 g. She may therefore be 99% certain that every muffin she bakes weights between 121 and 139 g when she sells them.
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