A random sample of 116 lightning flashes in a certain region resulted in a sample average radar echo duration of 0.77 sec and a sample standard deviation of 0.47 sec. Calculate a 99% (two-sided) confidence interval for the true average echo duration . (Round your answers to two decimal places.) ( sec
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- You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately σ=35.5σ=35.5 dollars. You would like to be 90% confident that your estimate is within 4 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?The regression equation for predicting the number of speeding tickets (Y) from information about driver age (X) is Y where b1=5.5 and bo= 0.16. How many tickets would you predict for a twenty-year-old O a. 8.7 O b. 110.16 Oc. Can't be determined O d. 2.3We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ=79.4σ=79.4. We would like to be 99% confident that the estimate is within 0.5 of the true population mean. How large of a sample size is required?n=
- A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.5. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. Find the interval that contains 95.44 percent of the sample means for male students.You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of T = 74 hours. The population standard deviation is known to be 5.8 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 90% level of confidence. How many more bacteria should you sample to achieve a 0.5 hour margin of error? n bacteria %3D55°F Clear Heights were measured for a random sample of 15 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 50 centimeters and 12 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean u. Based on the sample, can it be concluded that μ is different from 42 centimeters? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁ : (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) Jxplanation Check O Search C 3…
- > Question 11 A random sample of size 40 yields a standard deviation of 6. At a = 0.10, test the claim that the population standard deviation is not 4. 1. The alternate hypothesis is Ha: Οσ#6 Oo + 4 2. This is a OleftO twoO right tailed test with d.f. = 3a. The STS (to 2 decimals) is X 3b. The P-value (to 3 decimals) is: 4a. At a = 0.10, the decision is: O Accept Ho O Do not reject Ho O Reject Ho O Accept Ha 4b. The conclusion is: O There is insufficient evidence to support the claim that population standard deviation is not 4 O There is sufficient evidence to support the claim that population standard deviation is not 4 O There is sufficient evidence to reject the claim that population standard deviation is not 4 OThere is insufficient evidence to reject the claim that population standard is not 4 MacBook Air F2 F3 000 F4 F5 F6 F7 F8 F9 2$ & 3 5You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately σ=53.4σ=53.4 dollars. You would like to be 98% confident that your estimate is within 2.5 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately σ=44.1σ=44.1 dollars. You would like to be 99% confident that your estimate is within 4 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?
- Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3 inches. A particular man is 80 inches tall. Find the z-score of his height. (Round to two decimal places.)Calcium levels in people are normally distributed with a mean of 9.7 mgdL and a standard deviation of 0.5 mgdL . Individuals with calcium levels in the bottom 10% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately σ=71.3σ=71.3 dollars. You would like to be 95% confident that your estimate is within 1 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?