Example 19.18 The sequence of occurrence of 'zeros' and 'ones' in a message sent in a digital code is shown below. Test at 5 percent whether the sequence of '0' and '1' is random 00110 11011 00001 11100 00110 11001 11110 00011 00100 11000 11100 00011 00111 11100 00000 11111 10001 11000 10001 01110.
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- Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the probability of transmitting a 4-bit code word with (a) at most one error, and (b) exactly four errors.Test each of the following by performing the steps in hypothesis testing. The time coding an algorithm by 16 programmers from one company showed a mean time of 107 minutes and a standard deviation of 10 minutes, while the time by 14 programmers from another company showed a mean time of 112 minutes and a standard deviation of 8 minutes. Is there a significant difference between the two groups at 0.01.Let N(t) be the percentage of a state population infected with a flu virus on week t of an epidemic. What percentage is likely to be infected in week 4 if N(3) = 8 and N'(3) = 1.2?
- It might be predicted that consumer buying behavior would vary with the location of products in a store. Therefore, a team of market researchers looked at the sales per day for a known and unknown brand of candy bars. Additionally, the researchers placed the candy bars in the usual location and next to the cash register in different stores. What can the market researchers conclude with an α of 0.01? known brand known brand unknown brand unknown brand usual register usual register 1624191773018 25151620312719 11691314711 19181621221719 A) Obtain/compute the appropriate values to make a decision about H0. Location: critical value = test statistic = Decision: Brand: critical value = test statistic = Decision: Interaction: critical value = test statistic = Decision: B) Compute the corresponding effect size(s) and indicate magnitude(s).Location: η2 = Brand: η2 = Interaction: η2 = C) Make an interpretation based on the results.…Ackerman and Goldsmith (2011) report that students who study from a screen (phone, tablet, or computer) tended to have lower quiz scores than students who studied the same material from printed pages. To test this finding, a professor identifies a sample of n = 16 students who used the electronic version of the course textbook and determines that this sample had an average score of M = 72.5 on the final exam. During the previous three years, the final exam scores for the general population of students taking the course averaged μ =77with a standard deviation of σ = 8 and formed a roughly normal distribution. The professor would like to use the sample to determine whether students studying from an electronic screen had exam scores that are significantly different from those for the general population. 1. Using the standard four-step procedure, conduct a two-tailed hypothesis test with αto evaluate the effect of studying from an electronic screen.To increase egg production, a farmer decided to increase the number of times the lights in his henhouse were on. Ten hens were randomly selected, and the number of eggs each produced was recorded. After one week of lengthened light time, the same hens were monitored again. The data is given here. At α = 0.05, can it be concluded that the increased light time increased egg production? Hen 1 2 3 4 5 6 7 8 9 10 Before 4 3 8 7 6 4 9 7 6 5 After 6 5 9 7 4 5 10 6 9 6
- 1. A University Director wants to see whether the average time (in minutes) it takesstudents to reach classes on time is different for three groups. The data are shown here.Junior Senior Graduates35 9 1518 3 627 12 2724 6 2221 12 2414821a) At α=0.05, can the owner conclude that there is a significant difference among themeans?b) If there is a significant difference among the means, test each pair of means?Find the highest possible value for x in the set 8.2 7.7 6 4.8 8.2 5.8 9.2 7.3 6.2 8.1 5.5 and x such that the mean of these scores is 7. show complete solutionSuppose 58.8% of small businesses experience cash flow problems in their first 5 years. A consultant takes a random sample of 557 businesses that have been opened for 5 years or less. What is the probability that greater than 55.85% of the businesses have experienced cash flow problems? Question 2 options: 1) 0.9214 2) 0.5000 3) -6.0341 4) 0.0786 5) >0.999
