The sample mean for the current golf ball was
The sample mean for the current golf ball was
Using the sample data, we will perform hypothesis tests on the aforementioned situations above in order to determine if we can support the manager's belief in each case. The hypothesis tests will be computed with 95% confidence intervals to ensure accuracy in our alternative hypothesis opinion.…
is used. For hypothesis-testing questions, please always present hypotheses, test statistic and its distribution under the null, decision rule and conclusion.…
14. Based on the information given for each of the following studies, decide whether to reject the null hypothesis. For each, give (a) the Z-score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected, (b) the Z score on the comparison distribution for the sample score, and (c) your conclusion. Assume that all populations are normally distributed.…
Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and waking—even if they are not exposed to the usual pattern of sunlight. To test this notion, eight paid volunteers were placed (individually)b in a room in which there was no light from the outside and no clocks or other indications of time. They could turn the lights no and off as they wished. After a month in the room, each individual tended to develop a steady cycle. Their cycle at the end of the study was as follows: 25, 27, 25, 23, 24, 25, 26, and 25.…
Through out the duration of this week there were several topics that members of this team found both struggling and straightforward. The discussions of topics lead team members to help one another understand the differences between the t-test and z-test. Additional topics in the discussions were how hypothesis testing is crucial to determining if the hypothesis is valid or false. One way to know if the hypothesis is valid is to determine the null hypothesis, which the opposite of the original theory, and tests against the alternative hypothesis, which correlates with the original hypothesis. To establish if the null hypothesis is valid statistical tests can help compare the means from two groups, and the results will verify if the theory is correct. These statistical tests, including the t-test and z-test are useful for determining the probability of truth to any hypothesis.…
There have been debates over the years on whether people prefer bottled water over tap water. If you step into an office somewhere in the corner or up against the wall is stacks of large blue containers consisting of water. This debate begins with two sides and often times someone would state that “I never drink tap water” or “Tap water is good for you plus it’s no different from bottled”. The purpose of this study is to determine if 30 random individuals prefer New York Tap Water or Deer Park Bottled Water. The null hypothesis is: “80% the individuals tested will prefer Deer Park Bottled Water over New York Tap Water” (H0: π≥ .80). The alternative hypothesis is: “80% the individuals tested will prefer New York Tap Water over Deer Park Bottled Water” (H1: π≤ .80).…
Each question is worth 1 mark - and there are 20 questions in total. Answers should be clear and legible. Note Instruction (d) on the Questions: “when performing statistical tests, to always state the null and alternative hypotheses, the test statistic and it’s distribution under the null hypothesis, the level of significance and the conclusion of the test.” Marks are not awarded when this instruction is not followed.…
7. Based on the p-value, what decision would you make concerning the null hypothesis? Why?…
Step5. The p value computed in Step 4 is compared with the significance level chosen in Step 2. If the p value is less than or equal to the significance level, then the null hypothesis is rejected; if the probability is greater than the significance level then the null hypothesis is not rejected. When the null hypothesis is rejected, the outcome is said to be…
1. Find a 95% confidence interval for the true proportion of the professor’s students who were…
The management at Par Inc. believes that with the introduction of a cut-resistant, longer-lasting golf ball could increase their market share. A new golf ball coating designed to resist cuts and provide a more durable ball have been developed and tested. A sample of 40 balls of both the new and current models were tested with a mechanical hitting machine so that any difference between the mean distances for the two models could be attributed to a difference in the two models. Therefore, the hypothesis test that Par could use to compare the driving distances of the current and new golf balls can be formulated as follows:…
Hypothesis and Proposal 10 points Statement of hypothesis in Statement of hypothesis in words and symbols. words or symbols, type of Description of test you’ll test you plan to use. use and how you plan to implement it. Brief description the data Description and set including outliers, gaps, interpretation of data set and other observations. (what and why). Statement of hypothesis in words and symbols, including motivation. Type of hypothesis test and plans for implementation. Description and interpretation of data set. Discussion of potential problems including how data could be improved.…
The Green valley company has introduced a job enrichment program, where one group of employee will be receiving job enriched program in one wing and another group of employee will be continued with the current method in other wing. At the end six month of program, the company evaluated whether there was any change in mean output of the two groups…
This chapter explains the outcomes of the testing of the hypotheses determined in chapter 4. The acceptance or rejection of the hypothesis is discussed as well. Additionally the concluded results of hypothesis testing from this study are compared with findings from previous researches. Limitations of this study were also discussed.…
There are several different statistical methods that can be used to aid in business decision making (CTU, 2012). Hypothesis testing and multivariate statistics are just two examples of the statistical methods that can be used. My goal today is to present information in such a way as to assist my senior manager in better understanding hypothesis testing, along with the ideas of null and alternative hypotheses.…