Section7&8

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2020

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Feb 20, 2024

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Listed below are student evaluation ratings of   courses, where a rating of 5 is for   "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 90% confidence level. What does the confidence interval tell about the population of all college students in the   state? Ratings 3.7 3.0 3.8 4.6 3.1 4.2 3.7 4.5 4.3 4.3 4.6 3.8 3.1 4.1 3.7 Mean ( ) = [ (All those numbers combined) / total size ] X̅ Sample Variance Variance Calculator (calculatorsoup.com) A data set includes 103 body temperatures of healthy adult humans having a mean of 98.9 F and a standard deviation of 0.65 F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6F as the mean body temperature?
Statdisk Online Confidence Intervals: Mean One Sample
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. The results in the screen display are based on a 95% confidence level. Write a statement that correctly interprets the confidence interval. TInterval (13.046,22.15) x=17.598 Sx=16.01712719 n=50 Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4224 patients treated with the drug, 197 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions. a) p = 197 /4224 b) MOE =
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Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=925 and x=551 who said "yes." Use a 95% confidence level. Do the same thing as last time Express the confidence interval 0.555<p<0.999 in the form <="" path="">p±E.
Find the critical value z α/ 2 that corresponds to the confidence level 94% α = 1 – 0.94 = 0.06 1-α/2 = 1 – 0.06/2 =1-0.03 = 0.97
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A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 respondents, 12% chose chocolate   pie, and the margin of error was given as ±4 percentage points. Given specific sample   data, which confidence interval is   wider: the 99% confidence interval or the 80% confidence   interval? Why is it   wider
A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 respondents, 12% chose chocolate   pie, and the margin of error was given as ±3 percentage points. What values do <="" path="">p, <="" path="">q, n, E, and p   represent? If the confidence level is 99%, what is the value of α ? Assume that the sample is a simple random sample obtained from a normally distributed population of weights of the aspirin in Bayer tablets. Use the table below to find the minimum sample size needed to be 99% confident that the sample standard deviation s is within 40% of σ . Is this sample size practical? σ To be 95% confident that s is within 1% 5% 10%20%30%40%50% of the value of σ , the sample size n should be at least 19,205 768 192 48 21 12 8 To be 99% confident that s is within 1% 5% 10%20%30%40%50% of the value of σ , 33,2181,336 336 85 38 22 14
the sample size n should be at least a. Why does "margin of error" have no relevance for confidence interval estimates of σ or σ 2 ? b. What is wrong with expressing the confidence interval of 6.2 bpm< σ <14 bpm as 10.1 bpm±3.9 bpm? A random sample of 858 births in a state included 425 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.514. Do these sample results provide strong evidence against that belief?
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Section 8 lol A formal hypothesis test is to be conducted to test the claim that the wait times at the Space Mountain ride in Walt Disney World have a mean equal to 47 minutes. Complete parts   (a) through   (d).
Claim: The mean systolic blood pressure of all healthy adults is less than 125 mm Hg. Sample   data: For 275 healthy   adults, the mean systolic blood pressure level is 122.64 mm Hg and the standard deviation is 15.65 mm Hg. Complete parts   (a) and   (b). When she was 9 years of   age, a girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left   hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. Among 279 trials, the touch therapists were correct 123 times. Use a 0.10 significance level to test the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists are   effective?
A data set includes times   (in minutes) of taxi cab rides in New York City yellow cabs during a Friday morning of the same day in a recent year. Using 39 of the times to test the claim that the mean of all such times is less than 15 minutes, the accompanying Minitab display is obtained. Test the given claim by using the display provided from Minitab. Use a 0.01 significance level.
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22 different video games showing violence were observed. The duration times of violence (in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 77 sec, what does df   denote, and what is its   value? Which of the following is not a characteristic of the t test? Which of the following is NOT a requirement for testing a claim about a population mean with σ known?
Which of the following is NOT a requirement for testing a claim about a standard deviation or variance? The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical   trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of p>0.5, which corresponds to the claim that the method increases the likelihood of having a   girl, so that the proportion of girls is greater than 0.5. If you have an interest in establishing the success of the   method, which of the following   P-values would you   prefer: 0.999,   0.5, 0.95,   0.05, 0.01,   0.001? Why? Claim: The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 151 adult   males, the pulse rates have a standard deviation of 12.8 bpm. Find the value of the test statistic.
(151-1)(12.8)^2 / 12^2 Assume a significance level of α =0.05 and use the given information to complete parts (a) and (b) below. Original claim: Less than 56% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.1913.
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Identify the type I error and the type II error that correspond to the given hypothesis. The percentage of households with more than 1 pet is greater than 65%. A certain drug is used to treat asthma. In a clinical trial of the drug, 20 of 284 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 11% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to complete parts (a) through (e) below. 1-PropZTest prop<0.11 z=−2.131649493 p=0.0165178359 <="" path="">p=0.0704225352 n=284
Suppose that in a random selection of 100 colored candies, 24% of them are blue. The candy company claims that the percentage of blue candies is equal to 25%. Use a 0.05 significance level to test that claim. Different data but same process
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Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and
74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null   hypothesis, alternative   hypothesis, test   statistic, P-value, conclusion about the null   hypothesis, and final conclusion that addresses the original claim. Use the   P-value method. Use the normal distribution as an approximation of the binomial distribution. Question content area top Part 1 Twelve different video games showing alcohol   use were observed. The duration times of alcohol   use were recorded, with the times (seconds) listed below. What requirements must be satisfied to test the claim that the sample is from a population with a mean greater than 75 sec? Are the requirements all satisfied? 79 15 583 47 0 61 220 46 166 0 2 56
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A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=184 , x=5.85 , s=2.22. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
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A data set about speed dating includes   "like" ratings of male dates made by the female dates. The summary statistics are n=199, x=7.57, s=2.02. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 8.00. Assume that a simple random sample has been selected. Identify the null and alternative   hypotheses, test   statistic, P-value, and state the final conclusion that addresses the original claim.
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Use p value.xlsx For a hypothesis test of the claim that the mean amount of sleep for adults is less than 9 hours, technology output shows that the hypothesis test has power of 0.4191 of supporting the claim that μ <9 hours of sleep when the actual population mean is 8.0 hours of sleep. Interpret this value of the   power, then identify the value of β and interpret that value. The piston diameter of a certain hand pump is 0.6 inch. The manager determines that the diameters are normally   distributed, with a mean of 0.6 inch and a standard deviation of
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0.004 inch. After recalibrating the production   machine, the manager randomly selects 22 pistons and determines that the standard deviation is 0.0035 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the α =0.10 level of   significance? Test the given claim. Assume that a simple random sample is selected from a normally distributed population. Use either the P-value method or the traditional method of testing hypotheses. Company A uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft, which was the standard deviation for the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action? -44 77 -22 -74 -40
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14 17 51 -7 -55 -107 -107
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A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the   drug, 18 subjects had a mean wake time of 94.1 min and a standard deviation of 42.4 min. Assume that the 18 sample values appear to be from a normally distributed population and construct a 98% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is   effective?
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