Question

Usually, the sample size is small (), we would use the t-distribution value. However, if we...

Usually, the sample size is small (), we would use the t-distribution value. However, if we know the population standard deviation (), we still use the z-distribution value even though the sample size is small. Describe what the reason that we use z-distribution if we know the population standard deviation ().

Homework Answers

Answer #1

ANSWER::

NOTE:: I HOPE THIS ANSWER IS HELPFULL TO YOU......**PLEASE SUPPORT ME WITH YOUR RATING......

**PLEASE GIVE ME "LIKE".....ITS VERY IMPORTANT  FOR,ME......PLEASE SUPPORT ME .......THANK YOU

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For Central Limite Theorem, if n>30, we say the sampling distribution is normal. However, most of...
For Central Limite Theorem, if n>30, we say the sampling distribution is normal. However, most of the time, with population standard deviation unknown, we still have to use t value to compute a confidence interval. But I wonder for normal distribution(z distribution), even though we do not know population sd, why cannot we use z value directly to compute confidence interval, as it has stated in central limit theorem that the distribution is normal.
Suppose for a certain population we do not know the value of population standard deviation (σ),...
Suppose for a certain population we do not know the value of population standard deviation (σ), and we want to test: H0: μ ≥ 30 against Ha: μ < 30. We are going to perform the test using a sample of size 43. What assumptions do we need about population distribution? A. Since sample size is small, we assume the population is normally distributed. B. Since sample size is sufficiently large, we do not need any assumption about population distribution....
True or false: 1. When constructing a confidence interval for a sample Mean, the t distribution...
True or false: 1. When constructing a confidence interval for a sample Mean, the t distribution is appropriate whenever the sample size is small. 2. The sampling distribution of X (X-bar) is not always a normal distribution. 3. The reason sample variance has a divisor of n-1 rather than n is that it makes the sample standard deviation an unbiased estimate of the population standard deviation. 4. The error term is the difference between the actual value of the dependent...
Confidence intervals are designed to predict where the population mean will fall. We use the Z...
Confidence intervals are designed to predict where the population mean will fall. We use the Z distribution when we know the population standard deviation, and we use the T distribution when we have or can find the sample standard deviation. Explain why two different distributions are needed for this process?
Suppose that we want to estimate the mean germination time of strawberry seeds. The germination times...
Suppose that we want to estimate the mean germination time of strawberry seeds. The germination times for the sample of strawberries we choose has a mean of 20 days and a standard deviation of 1.5 days. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and t refers to a variable having a...
Suppose that we want to estimate the mean daily profit of a convenience store. For this...
Suppose that we want to estimate the mean daily profit of a convenience store. For this purpose, we record the daily profit for a random sample of days. The sample has a mean of 468 dollars and a standard deviation of 76 dollars. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and...
Answer the following about T-Test & T-distributions: 1. Which of the following statements related to the...
Answer the following about T-Test & T-distributions: 1. Which of the following statements related to the t-distribution is not true? Select one: a. Since the population standard deviation is usually unknown, the standard error of the sample mean is estimated using the sample standard deviation as an estimator for the population standard deviation. The formula is s/sqrt(n). b. The population must be t-distributed in order to use the t-distribution. c. Like the Normal distribution, the t-distribution is symmetric and unimodal....
You would like to estimate the mean price of milk (per gallon) in your city. You...
You would like to estimate the mean price of milk (per gallon) in your city. You select a random sample of prices from different stores. The sample has a mean of 3.60 dollars and a standard deviation of 0.22 dollars. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and t refers to...
- How do we use sample results to estimate values of population parameters? - What are...
- How do we use sample results to estimate values of population parameters? - What are the best point estimates of the population proportion "p", population mean "μ" and standard deviation "σ"? Why? - How accurate is the sample result of 85% likely to be? - Given that only 1,007 people were polled in the population of 241,472,385 adults, is the sample sample size too small to be meaningful? - What is a critical value? How is it related to...
Suppose we repeatedly take samples of size 100 from the population distribution, calculate a sample mean...
Suppose we repeatedly take samples of size 100 from the population distribution, calculate a sample mean each time, and plot those sample means in a histogram. The histogram we created would be an example of a (variable, population, distribution, sampling distribution???) . According to the central limit theorem, the histogram would have a shape that is approximately (left skewed, right skewed or normal???) , with mean  (give a number???) and standard deviation  (give a number??). The standard deviation of the statistic under...