To find out whether a new serum will arrest leukernia, 9 mice, all with an advanced stage of the disease, are selected. Five mice receive the treatment and 4 do not. Survival times, in years, from the time the experiment commenced are as follows: Treatment 2.1// 5.3// 1.4 //4.6// 0.9 No Treatment 1.9// 0.5/1 2.8// 3.1 At the 0.05 level of significance, determine t table. Determine the pooled
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- At the 0.05 level of significance, determine t table.
- Determine the pooled standard deviation
- Determine the t calculated in two decimal places.
- can the serum be said to be effective? Assume the two populations to be
normally distributed with equal variances.
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- A researcher wishes to try three different techniques to lower the blood pressure of individuals diagnosed with high blood pressure. The subjects are randomly assigned to three group: the first group takes medication, the second group-exercises. And the third group follows a special Diet. After four weeks, the reduction in each person's blood pressure is recorded. At alpha = 0.05, test the claim that there is no difference among the means. The data are shown Medication Exercise Diet 8 10 4 7 9 3 13 15 1 7 12 1 7 Questions 1) What is the average in treatment 1(medication) 2) What is the average in treatment 2? 3) What is the average in treatment 3? 4) What is the variance in treatment 1? 5) What is the variance in treatment 27| 6) What is the variance in treatment 3? 7) What is the degree of freedom in numerator? 8) What is the degree of freedom in the denominator? 9) What is the value of Ratio or F calculated? 10) What is the value of F critical of F table? 11) What is the correct…A researcher randomly selected a sample of n = 500 individuals from a population with µ = 120 and administered an experimental treatment to the sample. What the researcher should expect if the treatment has no significant effect?To find out whether a new serum will arrest leukemia, 9 mice, all with an advanced stage of the disease are selected. Five mice receive the treatment and 4 do not. Survival times. In years, from the time the experiment commenced are as follows: Treatment 2.1//5.3/1.4/14.6/7 0.9 No Treatment 1.9// 0.5/7 2.8/7 3.1 At the 0.05 level of significance, determine t table. Blank 1 Determine the pooled standard deviation in two decimal places. Blank 2 Determine the t calculated in two decimal places. Blank 3 can the serum be said to be effective? yes or no. Blank 4 Assume the two populations to be normally distributed with equal variances. Blank 1 Add your answer Blank 2 Blank 3 Blank 4 Add your answer Add your answer Add your answer
- A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 15 volunteers were given tablets only containing 4 grams of vitamin C. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment the following data are obtained: Days to recover from cold Treated with multivitamin 8.1, 6.7, 7.2, 6.1, 7.5, 6.2, 6.8, 3.4, 7.4, 5.2, 4.3, 5.6, 4.4, 6.3, 3 Treated with Vitamin C 6, 5.6, 1.5, 4.2, 3.1, 4.7, 4.3, 2.7, 5, 4.7, 6.9, 2.5, 3.1, 3.8, 4.1 Send datato Excel It is known that the population standard deviation of recovery time from cold is 1.8 days when treated with multivitamin, and the population standard deviation of recovery time from cold is 1.5 days…The null hypothesis: H. :|| The alternative hypothesis: H :0 1 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we reject the researchers' claim that the mean recovery time when treated with multivitamin is less than or equal to the mean recovery time when treated with vitamin C only? Yes NoSuppose an experiment finds that people taking a new herbal remedy get fewer colds than people taking a placebo. The results are statistically significant at the 0.01 level. Has the experiment proven that the herbal remedy works?
- One variety of corn is genetically modified to produce chemicals for defense against predators. The standard corn contains the same standard genotype, but without genetic modification for the chemicals. The two types of corn are then planted in randomly placed adjacent plots across a single field. The amount of predators that are present when the corn has matured are then recorded. The data that was recorded of the predators present among each type are listed. Has genetic alterations decreased the amount of predators for the altered genotype? Normality tests for the populations of both contain a p value less than 0.05. The given alpha is 0.05 Modified Corn (20, 18, 26, 23, 17, 23, 22) Standard Corn (89, 64, 102, 96, 56, 77, 84, 59) use an F test to determine if the variance between the 2 lists are different. Based on this result, state the correct 2 sample parametric test to be used. State the null and alternative. Show calculations while rounding to two decimal points.What is the…Oliver is an employee at a pharmaceutical company. Recently, he has been trying to develop a test kit for the recently discovered Sentosa coronavirus (which caused 3 out of 4 of his colleague, Jamie's, family to be infected). Oliver knows that the virus is relatively virulent and estimates that 15% of the population has the disease. Due to limitations in technology, Oliver cannot develop a testing kit that wrongly predicts a healthy individual to be positive less than 1.5% of the time. How accurate, in terms of the probability that an infected individual is tested positive, must Oliver get his test kit to, in order to achieve a probability of correctly identifying the disease given that the test is positive of at least 90%? (Leave your answer in terms of percentages, rounded to the nearest one decimal place. DO NOT key in % into your answer.)An experiment to test the effectiveness of regular treatments with fluoride varnish to reduce tooth decay involved 36 volunteers who had half of their teeth (the right side or left side, determined by a coin flip) painted with a fluoride varnish every six month for 5 years. At the end of the treatments, the number of new cavities during the treatment period was compared on treatment (fluoride varnish) side versus the control (no fluoride varnish) side. The appropriate statistical test for analyzing the results of this experiment is O Two samplet test for a difference in means O Two sample z test for a difference in proportions O One sample z test for a population mean O Paired t test for a mean difference O One sample z test for a population proportion
- An antidepressant has historically been known to relieve depression for 80% of patients who use the drug. The drug's formula was changed recently to include a smaller dose of its main, active ingredient. Due to this change, a medical researcher suspects that among all people with depression who use the new version of the drug, the proportion, p, of people who find relief is lower than 80%. A random sample of 245 patients who use the new version is selected by the researcher, and 178 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.01 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c)…An antidepressant has historically been known to relieve depression for 65% of patients who use the drug. The drug's formula was changed recently to include smaller dose of its main, active ingredient. Due to this change, a medical researcher suspects that among all people with depression who use the new version of the drug, the proportion, p, of people who find relief is lower than 65%. A random sample of 240 patients who use the new version is selected by the researcher, and 149 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. Ho :0 H¡ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO (c) Find the…A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 10 of them were Thanh Nguy.- given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 10 volunteers were given tablets only containing 4 grams of vitamin C. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment the following data are obtained: Days to recover from cold Treated with multivitamin 4.8, 6.2, 6.9, 5.9, 4.9, 7.2, 4.7, 7.2, 4.3, 4.9 圖 Treated with Vitamin C 3.4, 4.7, 4.5, 3.4, 5.5, 6.6, 3.3, 2.4, 4.9, 3.9 Send data to calculator v It is known that the population standard deviation of recovery time from cold is 1.8 days when treated with multivitamin, and the population standard deviation of recovery time from cold is 1.5 days when treated with vitamin C tablets. It is also known that both populations are approximately…