two experiments were conducted, both have mean= 18, n=18, s=1. P(Xa-Xb>1) solve using f distribution
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two experiments were conducted, both have mean= 18, n=18, s=1. P(Xa-Xb>1) solve using f distribution
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- You are performing a two-tailed t - test with test statistic t=3.04t=3.04 and a sample of size 30, find the p-value to 4 decimal placesSolve by showing steps properlySOLVE FOR CRITICAL VALUE Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measures in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12 while another random sample of 16 gears from the second supplier results in x2 = 321 and s2 = 22. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength. Use a =0.04, and assume that both populations are normally distributed with equal variances.Level of significance = 0.04
- You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 0.24. Thus you are performing a left-tailed test. Your sample data produce the test statistic z=−2.665z=-2.665. Find the p-value accurate to 4 decimal places.X is a normally distributed variable with mean = 60 and standard deviation = 10 %3D For a randomly selected score from this distribution what is the probability that X is less than 42A previous study showed to determine whether a sales tax on soda will reduce consumption of soda in the US below the current per-capita level of about 50 gallons of soda per year. Hypotheses Test is Ho: m(mue) =50 vs. Ha: m<50 where m (mue) represents the average annual consumption of soda in communities where the sales tax is implemented. (b) Now supposed sample results give a p-value of 0.41. Interpret this p-value in terms of random chance and in the context of taxes and soda consumption.
- How would you report the results? The derived t = 0.02 was not significant at p = .05 with df = 10. Therefore, Ho was not rejected, and it was concluded that the mean pretest score for students at the beginning of the semester (18.27) was not different than the mean posttest score for students at the end of the semester (22.00), t(10) -= 0.02, p .05. In terms of the research question, it appears that the curriculum was not effective in promoting learning.You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 59% at a level of significance of α= 0.01. According to your sample, 36 out of 71 potential voters prefer the Democratic candidate. The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)The research question is whether attractiveness affects the behavior of infants lookingat photographs of women’s faces. The researcher is expecting the infants to prefer themore attractive face. Therefore, the researcher predicts that the infants will spendmore than half of the 20-second period looking at the attractive face. Specifically, the researcher tested a sample of n = 9 infants and obtained a mean of M = 13 seconds looking at the attractive face with SS = 72. Report the critical t-value for the alpha level at 0.01.
- You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.51. Thus you are performing a right-tailed test. Your sample data produce the test statistic z =1.872. Find the p-value accurate to 4 decimal places.p-value =Solve using R commands and manually Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 andstandard deviation 5 (“Mathematical Model of Chloride Concentration in Human Blood,” J. of Med.Engr. and Tech., 2006: 25–30”).(a) What is the probability that chloride concentration equals, less than, and at most 104?(b) What is the probability that someone’s blood chloride concentration level is between 99 and 114?(c) What is the probability that someone’s blood chloride concentration level is above 120?Suppose x has a distribution with a mean of 80 and a standard deviation of 45. Random samples of size n = 36 are drawn. Find P(x < 87.5) Please show the steps to finding the answer and use a ti-83+ calculator since this is what I am working with.