The mean of t distribution is 0 and variance of t distribution is depends upon the sample size. Variance of t distribution is not equal to 1.
Hence, correct option is D.
Which of the following is not a characteristic of the t test? Choose the correct answer...
Describe the standard normal distribution. What are its characteristics? Choose the correct answer below. O A. The standard normal distribution is a normal probability distribution with mean u = 0 and standard deviation o = 1. Similar to any normal probability distribution, it has associated with it a bell-shaped curve, symmetric about a vertical line through u with inflection points at o and -o. The Z-scores theorem, along with a table of areas under this standard normal curve can be...
Indicate the correct test procedure and reasoning. A researcher wishes to determine whether listening to music affects students' performance on memory test. He randomly selects 50 students and has each student perform a memory test once while listening to music and once without listening to music. He obtains the mean and standard deviation of the 50 "with music" scores and obtains the mean and standard deviation of the 50 "without music scores" O Two-sample t-test, since the researcher has two...
Which of the following are the characteristics of the population distribution? (Hint: 2 correct answers.) The population distribution is centered on zero. The population distribution has a standard deviation of 1. The population distribution changes depending on the sample size we use The population distribution can have a smaller standard deviation than the sampling distribution of the sample mean. The population distribution has a standard deviation of We use the population distribution when we have information only on a subsample...
QUESTION 5 Which statement concerning the t-distribution is false? O AT follows a standard normal distribution OB. The smaller the degrees of freedom the flatter the curve. OC. The t-distribution has a larger standard deviation than the Standard Normal Curve. OD. T-distributions have a mean of 0. o E. The total area under the density curve depends on the degrees of freedom. QUESTION 6 The t-procedures are robust when A. sample size is 12 and the sample data is not...
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? The distribution is normal regardless of the shape of the population distribution, as long as the sample size,n, is large enough. The distribution is normal regardless of the sample size, as long as the population distribution is normal. The distribution's mean is the same as the population mean. The distribution's standard deviation is smaller than the population standard deviation. All of the above...
For which of the following is a t-test appropriate for performing a hypothesis test? Select the correct answer below: O A sample mean of 33 pounds and a standard deviation of 3 pounds are obtained using a simple random sample of 18 mountain bikes from the most popular bicycles offered by major retailers having approximately normally distributed weights. The population standard deviation is 2.4 pounds. O A simple random sample of 12 two-inch candles is taken from the candles offered...
Multiple Choice Question We studied a characteristic of iron. Under the normality assumption of its distribution and using its sample mean and standard deviation, we computed the following confi- dence interval [2271.7688, 2308.2312]. This interval is a confidence interval for the mean of that characteristic at a level of confidence of 90%. We are told the the sample size is 16 and the sample mean is T 2290. What is the value of the sample standard deviation s? A. 44.33...
Suppose that a simple random sample of n = 6 individuals is obtained from a population that is skewed right with mean u = 44 and standard deviation o =2. (a) The shape of the sampling distribution of the sample mean is approximately normal. Is this true or false? (b) What is the mean of the sampling distribution of the sample mean? (c) What is the standard deviation of the sampling distribution of the sample mean? (a) Choose the correct...
7. Determine whether a normal distribution or a normal distribution or t distribution should be used or whether neither of should be used to construct a confidence interval for the mean. (Section 6.2) Circle the correct answer. in a random sample of 22 families, the mean weekly food expense was $95.60 with a sample standard deviation of $22.50. Assume the weekly food expense is normally distributed. A) Normal distribution B) t-distribution C) Neither For a sample of 20 IQ scores...
You are the manager of a restaurant for a fast-food franchise. Last month, the mean waiting time at the drive-through window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 3.6 minutes. You select a random sample of 81 orders. The sample mean waiting time is 3.35 minutes, with a sample standard deviation of 0.9 minute. Complete parts (a) and (b) below. a. At...