Decision: 3.25 Zcritical = 1.28 5. Zcomputed Decision: %3D %3D
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- Nine laboratory equipment dealers were asked for price quotes on two similar air quality samplers. The results of the survey are given below. At α = 0.05, is it reasonable to assert that on an average, sampler manufactured by company A is less expensive than sampler manufactured by company B?Dealer 1 2 3 4 5 6 7 8 9Company A price (in $) 250 319 285 260 305 295 289 309 275Company B price (in $) 270 325 269 275 289 285 295 325 300The table below summarizes data from a survey of a sample of women. Using a 0.01significance level, and assuming that the sample sizes of 800 men and 300 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 498 247 Women who disagree 302 53 Compute the test statistic, rounding to three decimal places. Find the critical value(s). (Round to three decimal places) What is the conclusion based on the hypothesis test?Use the Kruskal-Wallis Test and α = 0.05 to determine whether there is significant difference in the performance ratings forthe products.
- It was reported that in the nuclear industry, it is significant to keep detailed records of the quantity of plutonium received, transported, or used. Each shipment of plutonium pellets received is carefully analyzed to check that the purity and hence the total quantity is as claimed by the supplier. A particular shipment is analyzed with the following results: 99.93, 99.87, 99.91, and 99.89%. The listed purity as received from the supplier is 99.95%,Using a suitable test, propose whether this shipment is acceptable at a 95% confidence level.The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?Fill the chi square for Cross 1 and Cross 2 from the following data in the attached image: Cross 1: Phenotypes Ratio Observed Expected (O-E)2/E Totals X2 = Cross 2: Phenotypes Ratio Observed Expected (O-E)2/E Totals X2 =
- The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76 5-Compute a 95% CI for the difference in meansbetween the two groupsA mining company finds that daily lost-work injuries average 1.2. If the local union contract has a clause requiring that the mine be shut down as soon as three workers incur lost-work injuries, on what percentage of the days will the mine be operational throughout the day?The average 1-year-old is 29 inches tall. A random sample of 30 one-year-olds in a large day carefranchise resulted in the following heights. At a = 0.05, can it be concluded that the averageheight differs from 29 inches? Assume o = 2.61 2532 35 25 30 26.5 26 25.5 29.5 32 28.5 30 32 28 31.5 30 27 28 33 28 29 32 29 27 29.5 32 30 29 34 29.5
- A random sample of soil specimens was obtained, andthe amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanyingdata (from “Engineering Properties of Soil,” SoilScience, 1998: 93–102). 1.10 5.09 0.97 1.59 4.60 0.32 0.55 1.450.14 4.47 1.20 3.50 5.02 4.67 5.22 2.693.98 3.17 3.03 2.21 0.69 4.47 3.31 1.170.76 1.17 1.57 2.62 1.66 2.05190 200 210 220The values of the sample mean, sample standard deviation, and (estimated) standard error of the mean are2.481, 1.616, and .295, respectively. Does this data suggest that the true average percentage of organic matterin such soil is something other than 3%? Carry out atest of the appropriate hypotheses at significance level.10. Would your conclusion be different if a 5 .05 hadbeen used? [Note: A normal probability plot of the datashows an acceptable pattern in light of the reasonablylarge sample size.]For a population with µ = 40 and σ = 5, compute the z-score corresponding to each of the following X values: 41, 47, 33, 28The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76.8.6 Compute a 95% CI for the difference in meansbetween the two groups