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A study was made on the amount of * converted sugar in a certain process at a various temperature. The data were coded and recorded as follows: Estimate the mean amount of converted sugar produced when the coded temperature is 1.75 Temperature (x) 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Convertedsugarhr} 8.1 7.8 8.5 9.8 9.5 8.9 8.6 10.2 9.3 9.2 10.5 A study was conducted to see if increasing the substrate concentration has an appreciable effect on the velocity of a chemical reaction. With substrate concentration of 1.5 moles per liter, the reaction was run 15 times, with an average velocity of 7.5 micromoles per 30 minutes and a standard deviation of 1.5, With a substrate concentration of 2.0 moles per liter, 12 runs were made, yielding an average velocity of 8.8 micromoles per 30 minutes and a sample standard deviation of 1.2. Is there any reason to believe that this increase in substrate concentration causes an increase in the mean velocity of the reaction of more than 0.5 micromole per 30 minutes? State the null and alternative hypothesis. H_O: [_1=[_2=0.5 ; H_a: |_1-_2=0.5 H_O: [_1=_2=0.5 ; H_a: p_1-_20.5 H_O: [_1=[_2=0.5; H_a: [_1-1_2>0.5Complete the table to answer the given * questions: compute MS - error _\" _-_ - mI-I- - - _rror O 7.028 O 7.025 (D This is a required question A machine is supposed to mix peanuts, hazelnuts, cashews and pecans in the ration522222'l. A can containing 500 of these mixed nuts was found to have 269 peanuts 112 hazel nuts, 74 cashews, and 45 pecans. At the 0.05 level of signicance, test the hypothesis that the machine is mixing the nuts in the ration5:2:2:'l H_0:Nuts are not mixed in the ratio 0 5222221; H_a: Nuts are mixed in the ratio 522:2:1 H_0:Nuts are mixed in the ratio 5222221; 0 H_a: Nuts are not mixed in the ratio 5222221 A random sample of 100 recorded deaths in the United States during the past year showed an average life span of 71.8 years. Assuming a population standard deviation of 8.9 years, does this seem to indicate that the mean life span today is greater than 70 years. State the null and alterative hypothesis to be used in the test. O H_O: p=70 years; H_a: :70 years O H_0: u=70 years; H_a:70 years O H_O: p>70 years; H_a:=70 years The Grades in a statistics course for a * particular semester were as follows: Test the hypothesis at the 0.05 level of significance, that the distribution of grades is uniform. WEE-\"- H_0:Distribution of grades is uniform; O H_a:Distribution of grades is not uniform H_0:Distribution of grades is not Q uniform; H_a:Distribution of grades is uniform Complete the table to answer the given * questions: compute SS of fertilizers Source of variation SS df MS F-ratio Fertilizers 3 72.7311 Blocks 197.6317 98.8158 Error 71.4017 6 Total 486.2267 11 O 218.1923 O 218.1933 O 218.1913 O 218.1943A study was made on the amount of converted sugar in a certain process at a various temperature. The data were coded and recorded as follows: Estimate the linear regression line. Temperature (x) 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Converted sugar (y) 8.1 7.8 8.5 9.8 9.5 8.9 8.6 10.2 9.3 9.2 10.5 O y =12.0623+0.7771x O y=6.4136+1.8091x O y =6.4136 - 1.8091x O y =12.0623 - 0.7771x O This is a required questionA die is tossed 180 times with the * following results. Is this balanced die? Use a 0.01 level of significance Grades A B C D F f(x) 14 18 32 20 16 O H_0:Die is balanced; H_a:Die is unbalanced O H_0:Die is not balanced; H_a:Die is balancedAmstat News lists median salaries for associate professors of statistics at research institutions and at liberal arts and others institutions in the United States. Assume that a sample of 200 associate professors from research institutions has an average salary of $70,750 per year with a standard deviation of #6000. Assume also that a sample of 200 associate professors from other types of institutions has an average salary of $65200 with a standard deviation of $5000. Test the hypothesis that the mean salary for associate professors in research institution is $2000 higher than for those in other institutions. 0 H_0: u_'| =p_2=$2000 ; H_a: u_1- p_2$2000 H_0: p_1=u_2=$2000 ; H_a: u_1- p_2$2000 H_0: p_'l =u_2=$2000 ; H_a: u_1- O O H_0: u_1=p_2$2000 'k Complete the table to answer the given * questions: compute F-ratio Source of variation SS df MS f-ratio Treatments 2 12.250 Blocks 171.333 57.111 Error 42.167 6 Total 238.000 11 O 1.74 O O 2.89 O 6.76 This is a required questionComplete the table to answer the given * questions: Compute F - ratio Source of variation SS df MS F-ratio Fertilizers 3 72.7311 Blocks 197.6317 98.8158 Error 71.4017 6 Total 486.2267 11 O 1.74 6.11 O 2.89 6.76 This is a required questionComplete the table to answer the given * questions: compute SS of treatments. Source of variation SS df MS f-ratio Treatments 2 12.250 Blocks 171.333 57.111 Error 42.167 6 Total 238.000 11 . . O 24.500 24.550 O 24.300 O 24.400In a research report, Richard of UCLA Medical School claims that mice with an average life span of 32 months will live to be about 40 months old when 40% of the calories in their diet are replaced by vitamins and protein. Is there any reason to live that mean average is less than forty if 64 mice that are placed on this diet have an average life of 38 months? 0 H_O: p=40 months; H_a: \":40 months O H_O: p=40 months; H_a: |J40 months 0 H_O: p>40 months; H_a: |J40 months In a research report, Richard of UCLA Medical School claims that mice with an average life span of 32 months will live to be about 40 months old when 40% of the calories in their diet are replaced by vitamins and protein. Is there any reason to live that mean average is less than forty if 64 mice that are placed on this diet have an average life of 38 months? 0 H_O: p=40 months; H_a: p40 months O H_O: p=40 months; H_a: p40 months 0 H_O: p>40 months; H_a: p40 months "i: the Edison Electric Institute has published on the number of kilowatt hours used annually by various home appliances. It is claimed that a vacuum cleaner uses average of 46-kilowatt hour per year. If a random sample of 12 homes included in a planned study indicates that vacuum cleaners use an average of 42 kilowatt hours per year with a standard deviation of 11.9 kilowatt, does this suggest that the vacuum cleaners use on average, less than 46 kilowatt hours annually? State the null and alterative hypothesis to be used in the test. O H_O: p=46 kilowatt; H_a: p46 kilowatt O H_O: p=46 kilowatt; H_a: p>46 kilowatt O H_O: u>46 kilowatt; H_a: u8 H_O: [_1=_2800 Q H_0: |J>800; H_a: |J800 An experiment was performed to compare the abrasive wear of two different laminated materials. Twelve pieces of material 1 were tested by exposing each piece to a machine measuring wear. Ten pieces of materials 2 were similarly tested. In each case, the depth of wear was observed. The samples of material 1 gave an average wear of 85 units with a sample standard deviation of 4, while the samples of material 2 gave an average of 81 with a sample standard deviation of 5. Can we conclude that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units? State the null and alterative hypothesis to be used in the test. O H_O: M_1-1_2=2; H_a: |_1-[_2#2 H_O: M_1-H_2=2; H_a: |_1-_22 O H_O: M_ 1- 1_2=2; H_a: H_1-H1_2>2 This is a required questionA manufacturer of a certain brand of rice * cereal claims that the average saturated fat content does not exceed 1.5 grams per serving. State the null and alternative hypothesis to be used in testing this claim. O H_O: u=1.5; H_a: u1.5 O H_O: u=1.5; H_a: u'l.5 (D This is a required