2. Heifer calves are essential to the success of a dairy farm because they serveas replacements to lactating cows. A farmer kept a record of the number ofheifer calves born to each of his cows during the first five years of breedingeach cow. The results are summarized below.number of heifer calvesnumber of cows2 3 443 50 2455 217Given the R software output below, test, at 5% level of significance, whetherthe given data on the number of heifer calves follows the binomial distributionwith parameters n = 5 and p = 0.5Chi-squared test for given probabilitiesdata: .Tablex-squared = 1.9573, df = 5, p-value = 0.855Completely identify the following:Но:На:Decision Rule:Computed p-value:Decision:Conclusion:

Any assumption about the parameter or probability function is known as hypothesis testing. For the…

Answered: 2. Heifer calves are essential to the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To examine the effect of relaxing music on math test performance, a researcher wants to compare the average math test scores of participants who completed the test with relaxing music to performance of participants who completed the same math test without music. The partially computed data collected in the study are shown below: Math Test with Music: Math Test without Music: n1 = 16 n2 = 12 M1 = 82 M2 = 78 SS1 = 150 SS2 = 140 Based on these results, is there a significant effect of relaxing music on math test performance? Use a t-test for independent samples with p < .01, 2-tails to answer this research question. Follow the steps of hypothesis testing and insert your answers below. In your calculations, round all numbers to two decimal places to avoid rounding errors. ANSWER H0: H1: Computed pooled variance sp2: Estimated standard SM1 - M2: Computed t: Critical t-value for…
Department of Research and Development of Unilever Sdn Bhd has conducted a study to improve the quality of production line by measured the weight (in ounces) of 50 bars of soap. The results are as shown in Table 2(b). Table 2(b) Weight of soap 11 12 12 12 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 19 20 (1) Calculate the mean, standard deviation and variance. (ii) By using 6 of class interval, construct a histogram for this data.
An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Compact 50 41 Car Intermediate 56 44 Full-sized 62 47 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: Hcompact * HIntermediate * HFull-sized Ha: "Compact = HIntermediate = 4Full-sized O Ho: HComputerized * HElectronic Ha: HComputerized = HElectronic O Ho: HComputerized = HElectronic Ha: "Computerized * HElectronic O Ho: HComputerized = HElectronic = "Compact = HIntermediate = "Full-sized H.: Not all the population means are equal. O Ho: HCompact = HIntermediate = HFull-sized Hai H compact * HIntermediate * HFull-sized Find the value of…
In physiology, an objective measure of aerobic fitness is how efficiently the body can absorb and use oxygen (oxygen consumption). A physiologist, Dr. Castillejo, conducted a research wherein subjects participated in a predetermined exercise run of 1.5 miles. Measurements of oxygen consumption as well as several other variables such as age, gender, runtime, resting and maximum pulse rates, and weight were recorded from 50 randomly selected gym members. Dr. Castillejo is interested in determining whether any of these other variables can help predict oxygen consumption. She believes that a possible link between these factors will help her determine how to improve the health of her gym members. Help Dr. Castillejo in developing a proposal for the improvement of her gym members' health condition. The variables are described below. gender- either male or female runtime-time to run 1.5 miles (in min) age age of the gym member in years weight weight of the gym member (in kg) oxygen…
Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Stick:[25.5,26.7,26.5,26.6,26.3,26.4] Liquid:[16.5,17.1,17.5,17.3,17.2,16.7] We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? a) z = 39.604 b) t = 25.263 c) t = 39.604 d) z = 39.104 e) t = 39.104
A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 273273 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 5757 6262 119119 Not Vaccinated 8383 7171 154154 Total 140140 133133 273273 Copy Data Step 6 of 8 : Find the critical value of the test at the 0.0050.005 level of significance. Round your answer to three decimal places.
The General Social Survey (GSS) collects data on demographics, eduction and work, among many other characteristics of US residents. Suppose we want to estimate the difference between the average number of hours worked by all Americans with a college degree and those without a college degree. Is there sufficient evidence that there is a significant difference between the average number of hours worked by those Americans with a college degree vs. those Americans without a college degree? Use the following output: Welch Two Sample t-testdata: yes and not = 3.1181, df = 1098.5, p-value = 0.001867alternative hypothesis: true difference in means is not equal to 095 percent confidence interval: 1.011652 4.445822sample estimates:mean of x mean of y 42.81574 40.08701 Using the provided output, find the 95% confidence interval for the difference of the average amount of hours worked for those that have a college degree vs. those that do not have a college degree (ie: for the difference of two…
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages.
An airline operates a call center to handle customer questions and complaints. The airline monitors a sample of calls to help ensure that the service being provided is of high quality. Ten random samples of 100 calls each were monitored under normal conditions. The center can be thought of as being in control when these 10 samples were taken. The number of calls in each sample of 100 not resulting in a satisfactory resolution for the customer is as follows: Excel File: data 19-09.xls 4 5 3 2 3 3 4 6 4 7 a. What is an estimate of the proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control? Round your answers to three decimal places. 0.041 b. Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls. Round your answers to four decimal places. If answer of LCL is negative then enter "0". UCL 0.1005 LCL = c. With the results of part (b), what conclusion should be made if a sample…
Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens. Specimen Direct Stratified 1 21 6 2 32 38 3 0 6 4 60 58 5 20 52 6 61 61 7 40 26 8 6 6 9 12 6 10 92 100 11 1 0 12 66 58 13 78 66 14 21 52 Specimen Direct Stratified 15 32 26 16 0 0 17 38 38 18 18 12 19 92 92 20 1 12 21 40 46 22 21 21 23 0 0 24 6 12 25 12 40 26 18 12 27 40 78 Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using ? = 0.05. (Use ?direct − ?stratified.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four…
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toto In physiology, an objective measure of aerobic fitness is how efficiently the body can absorb and use oxygen (oxygen consumption). A physiologist, Dr. Castillejo, conducted a research wherein subjects participated in a predetermined exercise run of 1.5 miles. Measurements of oxygen consumption as well as several other variables such as age, gender, runtime, resting and maximum pulse rates, and weight were recorded from 50 randomly selected gym members. Dr. Castillejo is interested in determining whether any of these other variables can help predict oxygen consumption. She believes that a possible link between these factors will help her determine how to improve the health of her gym members. Help Dr. Castillejo in developing a proposal for the improvement of her gym members' health condition. The variables are described below. gender- either male or female runtime-time to run 1.5 miles (in min) age - age of the gym member in years weight-weight of the gym member (in kg) oxygen…

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