The amount of sodium (in milligrams) in one serving for a random sample of three different kinds of foods is listed. Find the critical value for testing for a difference in the mean sodium amounts at the a = 0.05 level of significance. Condiments 180 230 220 Cereals 160 200 190 Desserts 340 130 280
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- Data for gas mileage (in mpg) for different vehicles was entered into a software package and part of the ANOVA table is shown below: Source DF SS MS Vehicle 5 420 210.00 Error 66 321 4.86 Total 71 741 If a LSRL was fit to this data, what would the value of the coefficient of determination be?A psychologist believes that youths identified as lesbian, gay, or bisexual already know their sexual orientation before they turned 18. To verify this, she took a random sample of 654 young adults that identified as lesbian, gay, or bisexual and asked them the age when they first realized their sexual orientation. It is known that the mean age when a young adult first realized they might be lesbian, gay, or bisexual is normally distributed. R COMMANDER OUTPUT sd se (mean) mean n 14.72199 14.9814 0.57568 654 95 percent confidence interval: 13.572 15.872Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table. Mountain Brush Sagebrush Grassland Pinon Juniper 30 20 5 25 59 10 25 16 2 24 19 4 Shall we reject or accept the claim that there is no difference in the mean number of deer per square kilometer in these different ecological locations? Use a 5% level of significance. (a) What is the level of significance?State the null and alternate hypotheses. Ho: ?1 = ?2 = ?3; H1: Exactly two means are equal.Ho: ?1 = ?2 = ?3; H1: At least two means are equal. Ho: ?1 = ?2 = ?3; H1: All three means are different.Ho: ?1 = ?2 = ?3; H1: Not all the means are equal. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 2 decimal places for MSBET, and MSW.)…
- Weights (kg) of poplar trees were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the accompanying table. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same mean weight. Is there a treatment that appears to be most effective? LOADING... Click the icon to view the data table of the poplar weights. No Treatment Fertilizer Irrigation Fertilizer and Irrigation 1.24 0.99 0.09 0.93 0.65 0.94 0.63 1.41 0.41 0.55 0.13 1.06 0.15 0.51 0.88 1.49 1.31 1.01 0.84 Determine the null and alternative hypotheses. H0: ▼ mu 1 greater than mu 2 greater than mu 3 greater than mu 4μ1>μ2>μ3>μ4 Exactly two of the population means are equal.Exactly two of the population means are equal. Not all of the population means are equal.Not all of the population means…Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different regions? Given that the amounts of arsenic in the samples from region C have the highest mean, can we conclude that brown rice from region C poses the greatest health problem? view the data table of the arsenic amounts. Arsenic Amounts (micrograms) A 4.9 4.9 4.9 5.2 5.3 5.5 5.6 5.7 5.8 5.9 6.1 6.3 B 2.3 3.6 4.5 4.6 4.8 4.8 4.8 5.1 5.1 5.4 5.4 5.5 C 5.7 5.7 6.7 6.9 7.1 7.2 7.2 7.3 7.3 7.4 7.5 7.6 What are the hypotheses to test? H0: mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 H1: At least one…11 15 23 29 19 22 21 20 15 25 17 The data above represents the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 12 different servings: What is the first quartile?
- the dataset provides information on temperature change in some provinces from china. Analyze it using SPSS and conduct any testsResearchers sampled fish from a lake and measured the lengths (mm) of all individuals of two species, bream and perch. They were interested in testing whether there was a difference in the mean lengths of the two species in the lake. Based on the output below, what would be the correct conclusion to draw? Mean n Std deviation Std error of mean Bream 531.00 6 309.60 126.39 Perch 154.82 11 78.76 23.75 options: Bream are significantly larger on average than perch in this lake. There is no significant difference in average sizes of the two species of fish from this lake. The variances are different so it is not possible to do a statistical test comparing means. Perch are significantly larger on average than bream in this lake.An ANOVA is used to evaluate the mean differences among three treatment conditions with a sample of n = 12 participants in each treatment. For this study, what is df between treatments? 2 11 33 35
- The number of victories for each baseball league team in 2006 is listed below (image). (Source: Major League Baseball). Find the quartiles of the dataset and the interquartile range.Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table. Mountain Brush Sagebrush Grassland Pinon Juniper 33 18 10 27 57 4 22 18 2 29 26 13 Shall we reject or accept the claim that there is no difference in the mean number of deer per square kilometer in these different ecological locations? Use a 5% level of significance. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 2 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.)What are the degrees of freedom? (numerator) (denominator) Make a summary table for your ANOVA test. Source ofVariation Sum ofSquares Degrees ofFreedom MS…Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. Use a 0.05significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different regions? Given that the amounts of arsenic in the samples from region Ahave the highest mean, can we conclude that brown rice from region A poses the greatest health problem? Arsenic Amounts (micrograms) A 5.8 5.8 6.5 6.5 6.9 7.2 7.3 7.3 7.6 7.6 7.9 7.9 B 4.5 4.9 5.2 5.2 5.5 5.8 5.8 5.9 6.3 6.3 6.4 6.4 C 1.8 3.7 4.1 4.1 4.6 4.6 4.8 5.1 5.2 5.6 5.7 5.7 The Test statistic is: The P-value is: The conclusion is: