A random sample of 8 size AA batteries for toys yield a mean of 3.41 hours with standard deviation, 1.3 hours. (a) Find the critical value, t*, for a 99% Cl. t* = (b) Find the margin of error for a 99% CI.
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- A survey collected data from a random sample of 121 people living in Jade city. The sample average of the distance people travel to reach their workplaces (Y) is 23.28 km and the standard deviation (sy) is 7.48 km. The standard error of the sample average of the distance people travel to reach their workplaces is 68 km. (Round your answer to two decimal places.) Let μy denote the mean of the distance all the people in Jade city travel to reach their workplaces. The p-value of the test Ho: #y #22 km vs. H₁: Hy #22 km is (Round your answer to two decimal places.)A population of score has μ = 90. In this population, a score of X = 100 correponds to z = 5. what is the population standard deviation?Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H= 8 ppb; H,: H > 8 ppb O Ho: H 8 ppb; H: H = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The Student's t, since the sample size is large and a is unknown. What is…
- Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Họ: u = 8 ppb; H,: u > 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and a is unknown. What is the…Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 8 ppb; H,: u > 8 ppb O Ho: H = 8 ppb; H,: H + 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb O Ho: H = 8 ppb; H,: µ 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.005 < P-value < 0.010 P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro escA random sample of 9 size AA batteries for toys yield a mean of 3.66 hours with standard deviation, 1.05 hours. (a) Find the critical value, t, for a 99% CI. t = (b) Find the margin of error for a 99% CI.
- A random sample of 28 lunch orders at Noodles & Company showed a standard deviation of $6.24. Find the 99 percent confidence interval for the population standard deviation. Use Excel to obtain χ2L=CHISQ.INV(α/2,d.f.)χL2=CHISQ.INV(α/2,d.f.) and χ2U=CHISQ.INV.RT(α/2,d.f.)χU2=CHISQ.INV.RT(α/2,d.f.) (Round your answers to 2 decimal places.) The 99% confidence interval is from _________ to____________ .Researchers studied the relationship between weight (x) and antler growth (y) in male caribou in Alaska's Brook Range. Their sample of 83 caribou found an average weight of 163.4 kilograms (kg) with a standard deviation of 16.1 kg. The antlers had an average length of 109.7 eentimeters (em) with a standard deviation of 8.2 cm. The correlation was found to be 0.79. Compute the least squares regression line that predicts antler length from caribou weight. Ose this to prediction the antler length of a 170 kg. Write a sentence or two to your boss that discusses these results, including how well your regression line will make such a prediction.The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resistance exceeding 10.634 ohms, and 5% having a resistance smaller than 9.7565 ohms. Compute the standard deviation (only) of the resistance distribution. Use the rough sketch (not to scale) that was given on the bottom of the formula page to help visualize. Area = 0.10 Area = 0.05 %3D Raw 9.7565 2 10.634 2 List the relevant z-score of the location shown on the upper tail: List the relevant z-score of the location shown on the lower tail: Solve for the standard deviation (only) to 4 decimal places (x.XXXX).
- Consider a function R(r, y) = /y. Assuming r and y are correlated, what is the standard deviation of R as a function of r, y, and their standard deviations? IHR = 1/y were an eficiency for a detector, with y representing the total number of events in which a particle passed through and ar the subset of events in which the detector activated, would the calculation above apply? Why or why not? Write down the equation for the binomial error on an efficiency measurement, explaining inIn a study conducted at a local school, it was found that their students spent an average of u =4.61 hours each week working on homework with a standard deviation of o = 0.96. Find the z-value of a student that spends 3 hours working on homework each week. Write your answer to two decimal places.On a recent calculus exam, a class mean was 69 with a standard deviation of 2.4. Calculate the z-score (to 2 decimal places) for a person who received score of 78. z-score: Is this unusual?