The following table show results for two separate experiments to determine the mass of a circulating U.S. penny. Determine whether or not there is a difference in the precisions of these analyses. Experiment 1 Experiment 2 Replicate Number 1 2 3 4 5 6 Mass (g) 3.08 3.094 3.107 3.056 3.112 3.174 3.198 Replicate Number 1 2 345 3 4 5 Mass (g) 3.11 3.181 3.085 3.122 3.164
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- QUESTION 3 The Research Unit for Cecilion Supermart conducted an experiment to estimate the strength of thecarrier bag from the starch-based biofilms made from two different jicamas (sengkuang) of type Aand type B. However, the researcher claims that jicama type A produces more strength comparedto type B. To support this claim, 10kg weight item was put into 100 carrier bags made from jicamatype A and 200 carrier bags made from jicama type B were randomly selected. As a result, 8 bagsfrom jicama type A burst while 12 bags from jicama type B burst. Calculate a 95% confidenceinterval for the difference in true proportion of the carrier bags which burst between jicama type Aand type B. Give comment on the parameter estimate.question (9): A researcher was interested in the effect of job security on stress. The researcher recruited a random sample of 10 individuals who had job security and 10 individuals who were employed on a 1 year contract. The researcher measured the stress hormone through a saliva sample. This is an independent sample design; TRUE OR FALSEQuestion 8In a particular river, a certain micro-organism occurs at an average rate of 10 per mililitre.A random sample of 0.5 litres of water is taken from a nearby stream and is found tocontain 3478 micro-organisms. Does this provide significant evidence, at the 5% level, ofa difference in the incidence of the micro-organisms between the stream and the river?
- Question 3 The records of a state-owned company indicate that of all vehicles undergoing emissions testing during the previous year, 70% passed on the first test. A random sample of 200 cars tested in the country during the current year reveals that 62% passed the initial test. Does this data suggest that the true proportion for this country is less than the previous countrywide proportion? Test the relevant hypothesis at the 5% level of significance. (a) State the null and alternative hypotheses for the test. (b) What is the test statistic? (c) Calculate the value of the test statistic for this test. (d) Determine the critical region(s) for this test. (e) State the conclusion of this test. Give a reason for your answer.Two samples of sizes 60 and 90 have 52 and 48 as the respective A.Ms. and 9 and 12 as the respective S.Ds. Find the A.M and S.D. of the combined sample of size 150.Question 24: The US Department of Energy reported that 52% of homes were heated by natural gas. A random sample of 311 homes in Oregon found that 141 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 5% significance level. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: Based on the hypotheses, compute the following:Test Statistic = p-value = Based on the above we choose to The correct summary would be: that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 52%.
- QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesisanswer b The following table shows the number of shirts by sizes that are manufactured in a factory on aparticular week:Extra Small Small Medium Large Extra Large390 470 520 680 440a) It was discovered that the sizing of some shirts was labelled incorrectly.(i) Give two reasons why it would be necessary to examine a sample of the shirts producedrather than examine the entire weekly production. (ii) State two differences between a cluster sample and a stratified random sample in thissituation. (iii) Using the stratified random sampling technique, calculate the number of medium shirtsthat will be selected if we require a sample of 375 shirts. (iv)State one advantage of using stratified random method for collecting this sample. b) Determine the level of measurement that describes the following (i) The size of the shirt that a customer purchase(ii) The total amount paid by the customer(iii) The address of the factory that manufactures the shirtsCompare the two separate scatterplots. In particular, how do the associtation compare between women with pets vs. women without pets? Does one group have more variation in systolic blood pressure than the other? If so, for which group? Does systolic blood pressure seem higher for common ages between the two groups? If so, for which group?
- question 4 Chen et al. (2000) examined the foraging behaviour of northern elephant seals (Mirounga angustirostris) that breed along the west coast of Mexico and the USA. They attached platform satellite transmitter terminals (PTTs) to 22 male seals and recorded, for each seal, the distance (km) to its main feeding area offshore and the amount of time (days) it spent at the feeding area. The results are presented below: What two null hypotheses are being tested with the output shown above? What statistical conclusions would you draw about these hypotheses? Complete the regression equation by filling in the blanks (to the nearest 3 decimal places). duration = + * distance What is one biological interpretation of this relationship between duration and distance ? What % of the variation in duration at main feeding area was explained by distance to feeding area?Question 1The following table shows the number of shirts by sizes that are manufactured in a factory on aparticular week:Extra Small Small Medium Large Extra Large 390 470 520 680 440a) It was discovered that the sizing of some shirts was labelled incorrectly.(i) Give two reasons why it would be necessary to examine a sample of the shirts producedrather than examine the entire weekly production.(ii) State two differences between a cluster sample and a stratified random sample in thissituation. (iii) Using the stratified random sampling technique, calculate the number of medium shirtsthat will be selected if we require a sample of 375 shirts.Question 10: You are conducting a study to determine if there is a significant difference between typical salaries of surgeons and stock brokers (in thousands of dollars). Calculate the test-statistic, t with the following sample data.n1=60n1=60, ¯x1=160x¯1=160, s1=7s1=7n2=55n2=55, ¯x2=155x¯2=155, s2=8s2=8Rounded to 2 decimal places.