What critical value was used to compute this 95% confidence interval? Enter your answer rounded to three decimal places.
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The given confidence level is 95%.
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- Robin who is studying the tensile strength of a steel alloy intended for use in golf club shafts knows that the tensile strength is approximately normally distributed with σ = 175 psi. A random sample of 15 specimens has a mean tensile strength of 2,750 psi. Test hypothesis at 0.05 level when mean strength is tested to be 3,000 psi.The time that it takes a driver to react to the brake lights on a decelerating vehicle is critical in helping to avoid rear end collisions. A study found that the reaction time for an in traffic reponse to a brake signal from standard brake lights can be modeled with a normal distribution with a mean of 1.25 secs and standard deviation of 0.45 sec what percent of drivers have a reaction time between 0.35 sec and 2.80 ?A random sample of 10 size AA batteries for toys yield a mean of 2.87 hours with standard deviation, 0.69 hours. Find the critical value, t*, for a 99% CI and the margin of error for a 99% CI. Give both to 3 decimal places.
- A sample of 100 individuals has a mean depression score of 20 with an SD of 2. What is the standard error of depression for this sample?Suppose 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?Rosner analyzed data from children who lived near a lead smelter (which is a facility that uses extreme heat to extract the metal lead from lead ore) in El Paso, Texas, and reported that out of 124 children studied, 23 developed colic (which is a pattern of fussiness and crying for no apparent reason). Suppose that in the state of Taxes in general at the time (early 1980s), the rate of colic in children was 16.0%. Follow the steps for testing whether the proportion of children developing clico was significantly different for the 124 children living near the lead smelter than for Taxes children in general (16%). Use alpha level of 0.03 a. Identify the null hypothesis for this statistical test. b. Identify the alternative hypotheses for this statistical test. c. Explain: Why should this be a two-tailed test, the way I have described it? d. calculate the sample proportion p̂, rounded to three decimal places. e. Calculate the appropriate test statistic, show all work. f. Based on…
- An article compared the dielectric constants between two types of asphalt, HL3 and HL8, commonly used in pavements. For 42 specimens of HL3 asphalt the average dielectric constant was 5.92 with a standard deviation of 0.15, and for 37 specimens of HL8 asphalt the average dielectric constant was 6.05 with a standard deviation of 0.16. Can you conclude that the mean dielectric constant differs between the two types of asphalt? Find the P-value and state a conclusion. The P-value is . Round the answer to four decimal places. We (Click to select) cannot can conclude that the mean dielectric constant differs between the two types of asphalt.The time that it takes a driver to react to the brake lights on a decelerating vehicle is critical in helping to avoid rear end collisions. A study found that the reaction time for an in traffic reponse to a brake signal from standard brake lights can be modeled with a normal distribution with a mean of 1.25 secs and standard deviation of 0.45 sec what percent of drivers have a reaction time longer than 2.15 seconds?one study of smokers who tried to quit smoking with nicotine path therapy, 38 were smoking one year after the treatment, and 32 were not smoking one year after the treatment. Use a 0.10 significance level to test the claim that among smokers who try to quit with nicotine patch therapy, the majority are smoking a year after the treatment. a. Define the parameter A. mu = The mean number of smokers who used the patch and were smoking a year after the treatment B. mu = The proportion of all smokers who used the patch and were smoking a year after the treatment C. p = The proportion of all smokers who used the patch and were not smoking a year after the treatment D. p = The proportion of all smokers who used the patch and were smoking a year after the treatment b. State the null and alternative hypotheses A. Upper H 0 : p equals 38 Upper H 1 : p less than 38 B. Upper H 0 : p…
- Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1350 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 18 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1375 Gy , with a sample standard deviation of 75 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1350 Gy .How many stomach cancer patients and controls would be required to estimate the difference in proportion of patients with sufficient concentrations of plasma antioxidant vitamins with a margin of error not exceeding 5% using a 95% CI? The data in table 8-2 were reported recently from a similar study investigating the sufficiency of plasma antioxidant vitmians in throat cancer patients.