英语翻译16.Troutexperiment,continuedSupposethetroutexperimentofExercise15istoberepeatedwiththesamev=4treatments,andsupposethatthesamehypothesis,thatthetreatmentshavenoeffectonhemoglobincontent,istobetested.(a)For

Question

英语翻译
16.Trout experiment,continued Suppose the trout experiment of Exercise 15 is to be repeated with the same v=4 treatments,and suppose that the same hypothesis,that the treatments have no effect on hemoglobin content,is to be tested.
(a) For calculating the number of observations needed on each treatment,what would
you use as a guess for σ2?
(b) Calculate the sample sizes needed for an analysis of variance test with α=0.05
to have power 0.95 if (i) Δ=1.5.(ii) Δ=1.0.(iii) Δ=2.0.
17.Soap experiment,continued In Example 3.6.2,page 53,a sample size calculation was made for the number of observations needed to detect,with probability π (0.25)=0.90,a difference in weight loss of at least ) Δ=0.25 grams in v=3 difference types of soap,using an analysis of variance with a probability of α=0.05 of a Type I error.The calculation used an estimate of 0.007 grams2for σ2and showed that r=4 observations were needed on each type of soap.The experiment was run with r=4,and the least squares estimate for σ2 was 0.0772.If the true value for σ2 was,in fact,0.08,what power did the test actually have for detecting a difference of )\x05Δ=0.25 grams in the weight loss of the three soaps?
18.The diameter of a ball bearing is to be measured using three different calipers.How
many observations should be taken on each caliper type if the null hypothesis H0：{effects of the calipers are the same} is to be tested against the alternative hypothesis that the three calipers give different average measurements.It is required to detect a difference of 0.01 mm in the effects of the caliper types with probability 0.98 and a Type I error probability of α=0.05.It is thought that σ is about 0.03 mm.
19.An experiment is to be run to determine whether or not time differences in performing a simple manual task are caused by different types of lighting.Five levels of lighting are selected ranging from dim colored light to bright white light.The one-way analysis of variance model (3.3.1),page 36 is thought to be a suitable model,and H0:{τ1=τ2=τ3=τ4=τ5} is to be tested against the alternative hypothesis HA:{the τi’s are not all equal} at significance level 0.05.How many observations should be taken at each light level given that the experimenter wishes to reject H0with probability 0.90 if the difference in the effects of any two light levels produces a 4.5-second time difference in the task?It is thought that σ is at most 3.0 seconds.

Answer 1

16岁,鳟鱼实验,继续假设鳟鱼的实验的锻炼15会重复相同的v = 4的治疗,并且假设相同的假设,这种治疗方法没有影响血红蛋白含量,是被测试.(一)计算方面的研究很多需要对每一种治疗方式,你使用作为一个猜测σ2吗?(b)样本...