== 13.6 A multinomial experiment with k = 3 cells and n = 320 produced the data shown in the accompanying table. Do these data provide sufficient evidence to contradict the null hypothesis that p₁ = .25, P2 = .25, and pз = .50? Test, using a = .05. p3 Cell 1 2 3 ni 78 60 182
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- Do types of crimes reported on television newscasts differ by the age of the criminals? A researcher uses her dvr to record the local television news for a 2-week period of time. She records the types of crimes and notes the age of the offender. Conduct a chi-square test (alpha = .05) of the null hypothesis that televised offense type does not vary by age group of offender. Offense type Young middle age older violent 27 10 3 property 14 12 11 sex 7 9 5 Report the obtained chi-square, df, and critical chi-square. Report your findings based on the null hypothesis.The salaries of a random sample of 12 teachers from state A and 12 teachers from state B are shown in the table. At alpha= 0.05, is there enough evidence to support the claim that there is a difference in the salaries earned by teachers in state A and state B? Calculate the test statistic. State A B OA. 1.41 OB. -2.17 OC, 0.66 OD. -0.84 Teacher's Salary (thousands of dollars) 41 44 44 33 48 38 41 24 28 35 25 44 17 27 38 26 22 16 49 29 24 35 50 40The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,95110,951 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 184184 of their customers and calculates that these customers used an average of 11,162kWh11,162kWh of electricity last year. Assuming that the population standard deviation is 1263kWh1263kWh, is there sufficient evidence to support the power company's claim at the 0.050.05 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
- 10.3.15-T In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 20 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x= 8.03 cm and s =0.8 cm°. Conduct the appropriate test at the a= 0.01 level of significance. Ho: = 9.02 H1:p < 9.02 (Type integers or decimals. Do not round.) Identify the t-statistic. to = - 5.53 (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)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 n=16 of 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=77 with 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. Assuming a two-tailed test, state the null hypothesis in a sentence that includes the two variables being examined. Using the standard four-step procedure, conduct a two-tailed hypothesis…Researchers conducted trials to investigate the effects of color on creativity. Subjects with a. Red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task". Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. what are the null and alternative hypothesis identify the test statistic ifentify the p value
- Looking at the above summary statistics from July 2020 for patients with confirmed Covid-19 in adult critical care, answer the following questions: What is the sample size for patients with confirmed COVID 19 were in Adult Critical Care beds in the sample hospital (Hammersmith Hospital) What is the sample size for All critical care units for Patients with confirmed COVID19 Give a brief explanation of SD Give a brief explanation of IQR How old were the patients in General Adult Critical Care with confirmed COVID19 one SD below the mean at Hammersmith Hospital How old were the patients in General Adult Critical Care with confirmed COVID19 on the 25th centile at Hammersmith Hospital Calculate .4.21. An industrial engineer is conducting an experiment on eye focus time. He is interested in the effect of the distance of the object from the eye on the focus time. Four different distances are of interest. He has five subjects available for the experiment. Because there may be differences among individu- als, he decides to conduct the experiment in a randomized block design. The data obtained follow. Analyze the data from this experiment (use a = 0.05) and draw appropriate conclusions. Distance (ft) 4 6 8 10 1 10 7 5 6 2 6 6 3 4 Subject 3 6 3 4 4 6 122 5 6653 2 3 (a) What is the response? What are the factors? How many levels of each factor are used? How many replicates were used? (b) Perform an ANOVA analysis. (c) Prepare appropriate residual plots and comment on the model's adequacy.A researcher obtains a sample of n= 25 adults who are between the ages of 65 and 75. The researcher measures cognitive performance for each individual before and after a two-month program in which participants receive daily doses of a blueberry supplement. The results show an average increase in performance of MD= 8, with SS = 1200. Does the result support the conclusion that the blueberry supplement significantly increase cognitive performance? Use a one-tailed test with α = .01 a. The alternative hypothesis in words is b. The null hypothesis in symbols is c. The critical t-value is d. The t-statistic is e. Your decision is f. Construct a 95% confidence interval to estimate the average cognitive performance improvement for the population of older adults. The lower boundary is g. The upper boundary of the confidence interval you constructed in the previous question is
- 9.4 Differences between ProportionsRandom samples of n1 = 55 and n2 = 65 were drawn from two populations. The samples yielded A. z = 1.14 B. z = 2.96 C. z = 2.16 D. z = 1.26One of the bartleby experts helped me with this homework problem. I am having trouble figuring out where -1.64 came from on part (b). Look at the images below. Statistically speaking, the typical romantic couple spends 3 hours of qualitytime together each day, with a variance of 1.5 hours. During my teenageyears, I was under the assumption that a friend and I were a couple, but sherecently pushed back on that claim. So, I logged our time spent together over aperiod of 92 days. As it turned out, we spent 2.65 hours together on a typicalday, again with a variance of 1.5 hours. Assuming that all of the time we spendtogether is “quality” and that relationship time spent is governed by the normaldistribution, do I have sufficient statistical evidence to claim that we were, infact, in a romantic relationship? (a) Find and interpret the z-score of our time spent together, specificallyreferencing what information the sign (positive/negative) of the z-scoretells us. (b) Conduct a…