Example 9: Find the 95% confidence interval for the variance and standard deviation of the nicotine content of cigarettes manufactured if a sample of 20 cigarettes has a standard deviation of 1.6 milligrams.
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Q: a store have a normal distribution with a mean of $33000 and a standard deviation of $3500.
A: Given: Mean, μ=33000Standard deviation,σ=3500
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A: Step 1: State the given data: sample mean 1, x̄1 = 33.7population standard deviation 1, σ1 =…
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A: From the provided information, Sample size (n) = 12 Standard error (SE) = 0.4
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A: We have given that. X~N( μ , ?^2 ) μ = 5.1 , ? = 1.8 Z-score =( x - μ )/?
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A: Answer:-
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Q: The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million…
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A: Standard deviation is the square root of variance
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Q: Consider a dataset with standard deviation 2, mean 6.2, and a total of 186 data points. What is the…
A: The given data is - Standard deviation (σ)=2 Mean(x)=6.2 Sample size(n)=186
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A: For low carbohydrate n1 =sample size=40, sample mean x̄1=2.4, sample standard deviations s1=3.72…
Q: The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million…
A: The sample standard deviations are s1=2 and s2=1.5.
Q: Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of…
A: Given:We have to construct a 98% confidence interval for the difference between population…
Q: Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of…
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Q: Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of…
A: The given information is as follows,The sample mean is The sample mean is The sample standard…
Q: Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of…
A: The provided information is x¯1=4.6s1=7.07n1=76x¯2=2.6s2=5.83n1=78α=0.01 Part 1 of…
Q: In a study of birth order and intelligence, IQ tests were given to 18 - and 19 -year-old men to…
A: There are two independent samples which are First born and Second born. We have to test whether the…
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- Entrance exam scores at Cititon University are normally distributed with a mean of 310 and a standard deviation of 39. If scholarships are awarded to the top 15% of scores, what is the minimum score needed to guarantee a scholarship?What is the assumption of homogeneity of variance? Select all that apply. The standard deviations for the two sample means are not significantly different from the population standard deviation. a. b. The standard deviations for the two sample means are not significantly different from each other. The variances for the two populations being compared are equal. с. The variances for the two populations being compared are significantly different from each other.A researcher is interested in the idea of a Protestant work ethic. She conducts a random survey on weekly hours worked by people in employment. The 3,453 Protestants in the survey work a mean of 39.360 hours per week, with a standard deviation of 13-182 hours, while the 6,044 Catholics work a mean of 42.206 hours per week with a standard deviation of 13.690 hours. a. Assuming the population variances are the same is there any evidence that Protestants work more hours than Catholics? b. Test whether the assumption of equal population variances is valid and, if necessary, redo part a assuming the population variances are different. c. Does this tell us whether the Protestant work ethic exists? Be sure to explain why or why not.
- In the year 2033, katy perry is a leading traveling nurse. Katy is interested in reducing the mean recovery time for patients after experiencing a serious injury (assume recovery times are normally distributed). Suppose the mean recovery time is presently 8.6 months. Katy takes a random sample of 46 patients that have experienced serious injury to participate in a new treatment program and finds the sample mean is 8.1 months and a sample standard deviation of 1.2 months. Using a = 0.05, answer the following questions. d) Using the appropriate level of confidence, what is the confidence interval? e) What is the interpretation (not your conclusions) of the confidence interval (in the context of the problem) you obtained in part c? f) What is the p value?Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.4 kilograms with a sample standard deviation of 7.3 kilograms. A second sample of 81 subjects went on a low-fat diet. Their sample mean weight loss was 2.7 kilograms with a standard deviation of 5.8 kilogramsThe contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounce. We are interested in testing to determine whether the variance of the population is significantly more than .003.The test statistic is _____.
- The amount of Derek's monthly phone bill is normally distributed with a mean of $74 and a standard deviation of $8. What percentage of his phone bills are between $58 and $90? Use the empirical rule to solve the problemThe average waiting time in a doctor’s office varies. The standard deviation of waiting times in a doctor’s office is 3.4 minutes. A random sample of 30 patients in the doctor’s office has a standard deviation of waiting times of 4.1 minutes. One doctor believes the variance of waiting times is greater than originally thought.a. What type of test should be used?b. What is the test statistic?c. What is the p-value?d. What can you conclude at the 5% significance level?At one college, GPA's are normally distributed with a mean of 3 and a standard deviation of 0.6. Fill in the blanks, 99.7% of GPAs are between ____ and ____. A. 1.8, 4.2 B. 3, 3.6 C. 2.4, 3.6 D. 1.2, 4.8
- In a study of birth order and intelligence, IQ tests were given to 18 - and 19 -year-old men to estimate the size of the difference, if any, between the mean IQs of firstborn sons and secondborn sons. The following data for 10 firstborn sons and 10 secondborn sons are consistent with the means and standard deviations reported in the article. It is reasonable to assume that the samples come from populations that are approximately normal. Can you conclude that the mean IQ of firstborn sons differs from the mean IQ of secondborn sons? Let μ1 denote the mean IQ of firstborn sons and μ2 denote the mean IQ of secondborn sons. Use the =α0.05 level and the P -value method with the TI-84 Plus calculator. reject or not is there evidence or not Firstborn 101 84 122 84 88 97 130 109 83 93 Secondborn 115 125 84 112 113 113 129 83 97 126Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 35 minutes and a standard deviation of 3 minutes, while method B has a mean of 39 minutes and a standard deviation of 1.5 minutes. Which procedure is preferred if the procedure must be completed within 34 minutes? Which procedure is preferred if the procedure must be completed within 40.0 minutes? Which procedure is preferred if the procedure must be completed within 43 minutes?in a test of a lifelong brand of tires , a survey revealed that the mean life was 35,000 mikes and the standard deviation was 7083 mikes. if the shape of the population distribution is known to be normal, approximately what percentage of the tires lasts less than 20834 miles ?