4. Use a 0.01 significance level to test the claim that peanut M&M candies have weights thatvary more than the weights of plain M&M candies. The standard deviation for the weightsof plain M&M candies is 0.056 g. A sample of 41 peanut M&M has weights with a standarddeviation of 0.31 g. Why should peanut M&M candies have weights that vary more than theweights of plain M&M candies?

To test the standard deviation, we use Chi-square-test given by χ2=n-1s2σ2. Where n is the sample…

Answered: 4. Use a 0.01 significance level to…

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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2. The town of Sylva recently started a single-stream recycling program. The town provided 60-gallon recycling bins to 25 randomly selected households and 75-gallon recycling bins to 22 randomly selected households. The total volume of recycling over a 10-week period was measured for each of the households. The average total volumes were 382 and 415 gallons for the households with the 60- and 75-gallon bins, respectively. The sample standard deviations were 52.5 and 43.8 gallons, respectively. Assume that the 10-week total volumes of recycling are approximately normally distributed for both groups and that the population standard deviations are equal. Using a 2% significance level, can you conclude that the average 10-week recycling volume of all households having 60-gallon containers is different from the average volume of all households that have 75-gallon containers? If This Problem Calls for: Pooled Variance Test Separate Variance Test Use Test Statistic -2.321 -2.348 Use Degrees…
11. The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 40 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 28 sales representatives reveals that the mean number of calls made last week was 42. The standard deviation of the sample is 2.1 calls. Using the .05 significance level, can we conclude that the mean number of calls per salesperson per week is more than 4O?
2. Workers in a large service industry have an average wage of $13.00 per hour with a standard deviation of $0.50. The industry has 64 workers of certain ethnic group. These workers have an average wage of $12.80 per hour. Is it reasonable to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employees in the service industry?
12.) The FAA has to periodically revise their rules regarding weight estimates. Airlines use anestimate for the weight of a passenger of 195 lbs. (an adult traveling in winter including 20 lbs.of baggage). According to your textbook, assume that men (not carrying baggage) have weightsthat are normally distributed with a mean of 188.6 lbs. and a standard deviation of 38.9 lbs.a.) If one adult male is randomly selected and is assumed to be carrying 20 lbs. carry-onbaggage, find the probability that the total weight is greater than 195 lbs.b.) What total weight would separate the lower 20% of men carrying 20 lbs. of baggage fromthe top 80%?
2. University researchers claim that the average enrollment at four-year colleges is higher than two-year community colleges. Two surveys are undertaken at 35 four-year universities and 35 two-year colleges. The mean enrollment at the four-year institutions was 5,466 with a standard deviation of 8,191. The average enrollment at the two-year schools was 5,068 with a standard deviation of 4,777. Using a 95% confidence level, are the findings of the surveys consistent with the university researchers’ claim? 2. Does the null hypothesis reject H0 or fail to reject H0?
3. At a land farm, a farmer desired to test the effect of a given fertilizer on soybean production. He chose 24 plots of land of which are equal surface area. He treated 12 plots with the fertilizer and the others were untreated. Otherwise the conditions were the same. The treated plots produced soybean with mean yield 5.1 bushels and a standard deviation of 0.36 bushels, while the untreated plots had mean yield 4.8 bushels and a standard deviation of 0.40 bushels. (a) Can we conclude that there is a significant improvement in soybean production because of the fertilizer if a significance level of 1% is used? (b) What is the P-value of the test?
1. A sample of 205 body temperatures with a mean of 98.49oF and a standard deviation of 0.58oF. Use a 0.01 significance level to test the claim that the mean body temperatures of the population is equal to 98.6oF. Find the test statistic. Round to four decimal places. 2.A sample of 205 body temperatures with a mean of 98.49oF and a standard deviation of 0.58oF. Use a 0.01 significance level to test the claim that the mean body temperatures of the population is equal to 98.6oF. Find the p-value that associated with the test statistic. Round to four decimal places.
12) A state fish hatchery raises trout for stocking streams and lakes. The size of the fish at release time can be controlled to a fair degree by varying the rate of feeding. The target is a mean of 10 ounces; if the fish are too small, those who catch the fish aren’t happy. A random sample of 75 fish were weighed at time of release and it was determined that the mean was 9.66 ounces with a standard deviation of 0.86 ounces. Test to determine if the fish being released have a population mean less than 10 ounces at the 0.01 significance level.
1. A sample of 205 body temperatures with a mean of 98.49oF and a standard deviation of 0.58oF. Use a 0.01 significance level to test the claim that the mean body temperatures of the population is equal to 98.6oF. Identify the significance level. 2.A sample of 205 body temperatures with a mean of 98.49oF and a standard deviation of 0.58oF. Use a 0.01 significance level to test the claim that the mean body temperatures of the population is equal to 98.6oF. Find the test statistic. Round to four decimal places. 3.A sample of 205 body temperatures with a mean of 98.49oF and a standard deviation of 0.58oF. Use a 0.01 significance level to test the claim that the mean body temperatures of the population is equal to 98.6oF. Find the p-value that associated with the test statistic. Round to four decimal places.
5. The heights of a pediatricians three-year-old females are approximately normally distributed, with mean 38.72 inches and standard deviation 3.17 inches. Find the height of a three-year-old female at the 42nd percentile.
11. In a sample of 41 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1,441 with a standard deviation of $423. In a sample of 101 trips taken by the employees in the sales department is $1,799 with a standard deviation of $653. When testing the hypothesis (at the 10% level of significance) that the variance of the amount spent on trips taken by the sales department is higher than those taken by the HR department what is the critical value? (please round your answer to 2 decimal places)

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