Ask Statistics and Probability Expert

The week 5 assignment addressed point and confidence interval estimation, one of the two major divisions of inferential statistics. The remaining weeks of this course bring together everything we've covered in this course thus far in our study of the second division of inferential statistics: hypothesis tests. The Week 6 written assignment requires that you select and conduct the most appropriate goodness-of-fit hypothesis test. Here are a few pointers to assist you:

The goodness-of-fit hypothesis tests are listed and described in section 4.2 of the textbook. To determine the best test to use for this assignment, examine the purpose of each of these tests and compare it to what you need to do for the week 6 assignment.

  • the one-sample t-test is used to compare a calculated sample mean of a continuous variable (interval or ratio scale) to some hypothesized value to determine if there is a difference.
  • the Kolmogorov-Smirnov test is used to compare a given distribution of a continuous variable (interval or ratio scale) to a normal distribution to determine if there is a difference in the shape of the distribution.
  • the chi-square goodness-of-fit test is used to compare the observed frequencies of a categorical variable (nominal scale) to expected frequencies.

Look at the scale of measurement of your dependent variable (sugar grams). Each of the goodness-of-fit tests has specific requirements. For example, the one-sample t-test and the Kolmogorov-Smirnov test require that the scale of measurement of the dependent variable (DV) is interval or ratio scale while the chi-square goodness-of-fit test requires that the DV is a categorical variable (i.e., nominal scale).

2. The best measures of central tendency and dispersion to report in cells A35:B36 depend on the DV's scale of measurement.

  • Ratio and interval scale variables: report means and standard deviation.
  • Ordinal scale variables: report median and range.
  • Nominal scale variables: report mode and range.

3. The test value that you are required to place in cell B37 is identified in the null hypothesis. It is the value to which you compare the sample mean.

4. The appropriate test statistic that you are to enter in cell B38 depends on the hypothesis test you conduct. For example, the one-sample t-test uses the t-statistic and the chi-square goodness-of-fit test uses the chi-square statistic. Identify the statistic that you calculate in cell A38, e.g., t or chi-square.

5. You must show all your work and enter formulas! You will not receive full credit if you show the correct value for a statistic but not show the formula you used to obtain that statistic. Once you select the most appropriate hypothesis test, follow the textbook procedures, step-by-step, for this test using the sugar grams variable.

6. A reported p-value can never be zero. When reporting results using APA style, never report a p-value of zero, e.g., p = .00. (Excel rounds numbers, so if you see .00 in a calculated Excel field it may actually be something like .00034.)  Instead, report the actual p-value, e.g., p = .0003, or write p < .01. A p-value of zero means there is no chance of error. There is always a chance of error with hypothesis testing, which is why we avoid stating the hypothesis test "proves" the statistical decision.

7. The assignment requires that you evaluate the null hypothesis: "There is no difference in mean grams of sugar of packaged cake mixes and the sugar content of a new cake mix that contains 13 grams of sugar." The results of your analysis will lead you to one of two statistical decisions:

  • If p <= 0.05: There is sufficient evidence to reject this hypothesis (i.e., there is a statistically significant difference between the sample mean and the hypothesized test value of 13). The null hypothesis is false.
  • If p > 0.05: There is insufficient evidence to reject this hypothesis (i.e., the null hypothesis is true; the difference between the sample mean and 13 is not statistically significant.) The difference between the sample mean and 13 can be explained by measurement error.

8.  As always, you must show all your work by entering formulas. As usual, DO NOT use automated procedures (i.e., Analysis ToolPak or StatPlus plug-in)

9. Very closely follow the example in the textbook of what to report for your hypothesis test in a research report results section. There is an example results narrative in the textbook for each test located under the heading Reporting Test Results (you can locate this section at the end of each hypothesis test procedures). This example adheres to an APA style results narrative for your selected test. Be precise! Do not provide a simple table summary.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91923029
  • Price:- $30

Priced at Now at $30, Verified Solution

Have any Question?


Related Questions in Statistics and Probability

Introduction to epidemiology assignment -assignment should

Introduction to Epidemiology Assignment - Assignment should be typed, with adequate space left between questions. Read the following paper, and answer the questions below: Sundquist K., Qvist J. Johansson SE., Sundquist ...

Question 1 many high school students take the ap tests in

Question 1. Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology exam 84,199 of them were female. In that same year,of the 211,693 students who too ...

Basic statisticsactivity 1define the following terms1

BASIC STATISTICS Activity 1 Define the following terms: 1. Statistics 2. Descriptive Statistics 3. Inferential Statistics 4. Population 5. Sample 6. Quantitative Data 7. Discrete Variable 8. Continuous Variable 9. Qualit ...

Question 1below you are given the examination scores of 20

Question 1 Below you are given the examination scores of 20 students (data set also provided in accompanying MS Excel file). 52 99 92 86 84 63 72 76 95 88 92 58 65 79 80 90 75 74 56 99 a. Construct a frequency distributi ...

Question 1 assume you have noted the following prices for

Question: 1. Assume you have noted the following prices for paperback books and the number of pages that each book contains. Develop a least-squares estimated regression line. i. Compute the coefficient of determination ...

Question 1 a sample of 81 account balances of a credit

Question 1: A sample of 81 account balances of a credit company showed an average balance of $1,200 with a standard deviation of $126. 1. Formulate the hypotheses that can be used to determine whether the mean of all acc ...

5 of females smoke cigarettes what is the probability that

5% of females smoke cigarettes. What is the probability that the proportion of smokers in a sample of 865 females would be greater than 3%

Armstrong faber produces a standard number-two pencil

Armstrong Faber produces a standard number-two pencil called Ultra-Lite. The demand for Ultra-Lite has been fairly stable over the past ten years. On average, Armstrong Faber has sold 457,000 pencils each year. Furthermo ...

Sppose a and b are collectively exhaustive in addition pa

Suppose A and B are collectively exhaustive. In addition, P(A) = 0.2 and P(B) = 0.8. Suppose C and D are both mutually exclusive and collectively exhaustive. Further, P(C|A) = 0.7 and P(D|B) = 0.5. What are P(C) and P(D) ...

The time to complete 1 construction project for company a

The time to complete 1 construction project for company A is exponentially distributed with a mean of 1 year. Therefore: (a) What is the probability that a project will be finished in one and half years? (b) What is the ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

Compute the present value of an 1150 payment made in ten

Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As