A study of runoff water from a manufacturing plant was made. Included in the study were pH measurements for six water specimens: 5.9, 5.0, 6.5, 5.6, 5.9, 6.5. Assume that these are a random sample of water specimens from a normal population. A 98% prediction interval for a pH of
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A study of runoff water from a manufacturing plant was made. Included in the study were pH measurements for six water specimens: 5.9, 5.0, 6.5, 5.6, 5.9, 6.5. Assume that these are a random sample of water specimens from a normal population. A 98% prediction interval for a pH of a single specimen is closest to
Given data,
5.9, 5.0, 6.5, 5.6, 5.9, 6.5
The sample mean and standard deviation for given data is
Construct a 98% confidence interval?
Step by step
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- The following measurements were taken with an analogue meter of current flowing in a circuit (the ecircuit was in steady state and therefore, although measurements varied due to random errors, the current flowing was actually constant). 21.5, 22.1, 21.3, 21.7, 22.0, 22.2, 21.8, 21.4, 21.9, 22.1 mA Calculate mean value, deviations from the mean, and standard deviation.An article reports the following values for soil heat flux of eight plots covered with coal dust. 37.9 37.8 37.9 35.1 35.5 27.5 18.3 24.1 The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using ? = 0.05.State the appropriate hypotheses. H0: ? = 29Ha: ? > 29H0: ? = 29Ha: ? < 29 H0: ? = 29Ha: ? ≠ 29H0: ? ≠ 29Ha: ? = 29 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux.Do not reject the null hypothesis. There is sufficient evidence to conclude that…Assume that the heights of a population of adults form a normal distribution with a mean µ =69 inches and a standard deviation σ =6 inches. A village is known to have tall people. A researcher randomly selects a group of 25 people from this village, and their average height is 5 feet 11 inches. Is the average height of people from this village is different than 69 inches, assuming α=0.05?
- An article reports the following values for soil heat flux of eight plots covered with coal dust. 33.8 34.0 33.8 37.8 34.4 27.0 18.1 24.3 ЛUSE SALT The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using α = 0.05. State the appropriate hypotheses. O Ho: μ = 29 Η μ < 29 H₂29 Ο Ηγ: μ = 29 Η μ = 29 O Ho: μ = 29 Ha: M = 29 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = -.57 P-value .290 ×An article reports the following values for soil heat flux of eight plots covered with coal dust. 35.0 32.8 35.0 33.6 36.7 27.0 18.7 24.7 USE SALT The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using a = 0.05. State the appropriate hypotheses. OH₂M = 29 H₂:μ#29 OH₂ = 29 H₂:μ 29 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux. O Reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux. O Do not reject the null hypothesis. There is…Use the given data to answer the questions below: Cars data frame from a sample of 30(showing only the first five observations) Unnamed: 0 mpg cyl disp hp drat wt qsec vs am gear carb 24 Pontiac Firebird 19.2 8 400.0 175 3.08 3.845 17.05 0 0 3 2 0 Mazda RX4 21.0 6 160.0 110 3.90 2.620 16.46 0 1 4 4 15 Lincoln Continental 10.4 8 460.0 215 3.00 5.424 17.82 0 0 3 4 2 Datsun 710 22.8 4 108.0 93 3.85 2.320 18.61 1 1 4 1 26 Porsche 914-2 26.0 4 120.3 91 4.43 2.140 16.70 0 1 5 2 1) What are the coefficients of correlation between miles per gallon and horsepower? What are the coefficients of correlation between miles per gallon and the weight of the car? What are the directions and strengths of these coefficients? Do the coefficients of correlation indicate a strong correlation, weak correlation, or no correlation…
- Question 14A group of students takes the Kaplan course in hopes that it will improve their SAT scores on the math section above the national mean of 500. The population standard deviation of the SAT is known to be 100. The sample mean for the 215 students was 543.53. Calculate the observed z score for the sample.The average life expectancy of tires 40,000 miles. The company has rece The manager hopes to find out wheth life test, 40 tires were used, and their following SPSS results: One-Sample Statistics Std. Dev Mean time 40881.8262 40 2945 One- df Sig. (2-taile 1.893 Set up Ho: M = 40,000 %3D HA: The test statistic is 1.893 The distribution of the test stati Make the statistical decision (o Express the statistical decision
- Analysis of several plant-food preparations for potassium ion yielded the following data: Sample Percent K+ 1 6.02, 6.04, 5.88, 6.06, 5.82 2 7.48, 7.47, 7.29 3 3.90, 3.96, 4.16, 3.96 4 4.48, 4.65, 4.68, 4.42 5 5.29, 5.13, 5.14, 5.28, 5.20 The preparations were randomly drawn from the same population. a. Find the mean and standard deviation s for each sample b. Obtain the pooled value spooled c.Why is spooled a better estimate of s than the standard deviation from any one sample?Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 6% and highest 6%, indicating levels that are too low or too high, respectively. Sketch the region containing the lowest 6% and highest 6%. Choose the correct graph below. O A. Za Za E OB. The bone density scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.) Za Za OD. Za Za ♫Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.7 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 13 samples is 4.9 ppm with a standard deviation of 1.0. Does the data support the claim at the 0.1 level? Assume the population distribution is approximately normal. Step 3 of 3: Make the decision to reject or fail to reject the null hypothesis.
