With respect to the z test (statistic) and the t test (statistic), each of the following are true, except:1. The z test is appropriate when the parameters of the population are known.2. When using either the z test or the t test, both μ and σ (or σ²) are known.3. When using either the z test or the t test, the sampling distribution should be normally distributed.4. The t test is appropriate when the parameters of the population are unknown.

Test statistic Z=(x̄ -μ)√n/σ t=(x̄-μ)√n/s

Answered: th respect to the z test (statistic)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random variable X is normally distributed. It has a mean of 229 and a standard deviation of 23.
22.
How is the t distribution different from the Z distribution? a. The t distribution does not have any negative numbers. b. The t distribution is asymmetrical; that is, it is not a mirror image on each side of the population mean. c. The t distribution is wider than the Z distribution due to lower sample size. d. All of the above are differences between the t and Z distributions
3. Which one of the following statements is false? 1. A correlation of –0.70 is weaker than a correlation of +0.70. 2. As the sample size gets larger, the standard deviation of the sampling distribution will get smaller. 3. A sampling distribution is a collection of sample statistics 4. Chance behavior is predictable in the long run but has an unpredictable pattern in the short run. 5. The size of the sample proportion has an impact on the margin of error.
The prices of a sample of books at University A were obtained by two statistics students. Then the cost of books for the same subjects (at the same level) were obtained for University B. Assume that the distribution of differences is Normal enough to proceed, and assume that the sampling was random. 1. Find the test statistic for this test. t = ___ (Round to two decimal places as needed.) 2. Find the p-value for this test. p-value = ____ (Round to three decimal places as needed.) 3. What is the conclusion for this test?
Consider a hypothesis test of difference of means for two independent populations x1 and x2. Suppose that both sample sizes are greater than 30 and that you know ?1 but not ?2. Is it standard practice to use the normal distribution or a Student's t distribution? Use the Student's t distribution because both sample sizes are greater than 30. Use the normal distribution because we do not know ?2. Use the normal distribution because both sample sizes are greater than 30. Use the Student's t distribution because we do not know ?2.
4. You ask an SRS of 1500 college students whether they applied for admission to any other college. Suppose that in fact 35% of all college students applied to colleges besides the one they are attending. The sampling distribution of the proportion of B your sample who say "Yes" is approximately Normal with mean 0.35 and standard deviation 0.01. Sketch this Normal curve and use it to answer the following questions. (You can use the 68-95-99.7 rule for all these questions.) Round to nearest whole percent. (a) What percentage of many samples would have a larger than 0.37? 2.5 (b) What is the probability that your sample will have a less than 0.33?Å (c) what is the probability that your sample result will be either less than 0.33 or greater than 0.35?
State the conclusion Ho There is evidence to conclude that the population mean waiting time is different from 38 minutes b. Because the sample size is 64, do you need to be concerned about the shape of the population distribution when conducting the t test in (a)? Explain Choose the correct answer below. O A. No, because n is equal to 64, the sampling distribution of the t test is approximately normal In general, the t test is appropriate for this sample size unless the population is skewed O B. No, because n is equal to 64, the sampling distribution of the t test is approximately normal In general, the t test is appropriate for a large sample size OC. Yes, because n is equal to 64, the sampling distribution of the t test cannot be determined. In general, the t test requires a larger sample size O D. Yes, because n is equal to 64, the sampling distribution of the t test cannot be determined In general, the t test is only appropriate for a normally distributed sample

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