3. Suppose a researcher, interested in obtaining an estimate of the average level of someenzyme in a certain human population that have standard deviation of 5. A sample of 7ndividuals had mean enzyme concentration of 16. For H0: p= 20 at sig level of 0.01, It cane concluded thatTest statistic is lower than the lower critical value and thus the population mean issignificantly different from 20Test statistic is outside the critical acceptance region and thus the population mean issignificantly different from 20Test statistic is higher than the upper critical value and thus the population mean issignificantly different from 20Test statistic is higher than the upper critical value and thus the population mean is nosignificantly different from 20Test statistic is within the critical acceptance region and thus the population mean issignificantly different from 20

From the provided information, Sample size (n) = 7 Sample mean (x̄) = 16 Standard deviation (σ) = 5…

Answered: . Suppose a researcher, interested in…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. Click the icon to view the data table of strontium-90 amounts. What are the null and alternative hypotheses? Assume that population 1 consists of amounts from city #1 levels and population 2 consists of amounts from city #2. OA. Ho: H₁ H₂ H₁: Hy > H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ More Info City #1 106 86 121 118 101 20 104 213 130 290 100 277 145 Print City #2 117 63 100 85 87 107 110 111 143 133 101 209 Done ~ X OB. Ho: ₁₂ H₁: Hy > H₂ OD. Ho Hi#H H₁: H₁ H₂
From a research survey, it was found that a random sample of 22 high school graduates of an exclusive school has a mean NSAT score of 90 with a standard deviation of 16, while a random sample of 24 high school graduates of a public school showed a mean NSAT score of 85 with a standard deviation of 12. Is there a significant difference in the NSAT performance of these two groups of high school graduates? Use 5% level of significance. 1. What is the conclusion in problem
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.85. If a random sample of 25 specimens is selected, what would be the standard error of the mean?
Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. City_#1 City_#2108 11786 53121 100116 85101 83104 107213 110113 111290 142100 133266 101145 209 What are the null and alternative hypotheses? Assume that population 1 consists of amounts from city #1 levels and population 2 consists of amounts from city #2? The test statistic is? The P-value is? State the conclusion for the test?
Bowker and Lieberman (1972) gave the results for tests of two thermostats used in irons that were made by an old supplier and a new supplier. 18 thermostats were sampled from the old supplier and 21 thermostats were sampled from the new supplier. The actual temperatures measured with a thermocouple and were recorded. The sample from the old supplier had a mean of x₁ =549.8 and a standard deviation of s₁=9.6. The sample from the new supplier had a mean of x₂=550.4 and a standard deviation of s2=11.2. Determine the value of the pooled standard deviation Sp Sp = ... (Record to two decimal places.) 4
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.11 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.95oz and 12.59oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16oz. Use a 0.05 significance level. 1. Compute the test statistic X2 = 2. Identify the p-value
A laboratory claims that the mean sodium level, u, of a healthy adult is 143 mEq per liter of blood. To test this claim, a random sample of 50 adult patients is evaluated. The mean sodium level for the sample is 140 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 10 mEq. Can we conclude, at the 0.1 level of significance, that the population mean adult sodium level differs from that claimed by the laboratory? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) u and standard deviation o = 0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a SRS of 15 cigarettes of this brand. The sample yields an average of 1.6 mg of nicotine. Conduct a test using a significance level of a = 0.05. (a) The standardized test statistic (b) The critical value (endpoint of Rejection Region) is z* = (c) The final conclusion is OA. The nicotine content is probably higher than advertised. B. There is not sufficient evidence to show that the ad is misleading.
Assume blood-glucose levels in a population of adult women are approximately normally distributed with mean 90 mg/dL and standard deviation 13 mg/dL. - Suppose the "abnormal range" were defined to be glucose levels outside of 1 standard deviation of the mean (i.e., either at least 1 standard deviation above the mean, or at least 1 standard deviation below mean). What percentage of individuals would be called "abnormal" and need to be retested?
Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha) used for this problem is 0.05/ What is the appropriate test statistic (Student must complete by showing by formula using the ap- propriate values in that formula "showing work" and the final answer and appropriate label)? O T test score = (108-110)/(45/sqrt(21)) = -.2037 O I test score = (108-110)/(21/sqrt(45)) = -.639 T test score = (108-110)/(21/sqrt(45)) = .639 I test score = (110-108)/(21/sqrt(45)) = .639
A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the bails bounce upward to be 55.4 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between - to 90 and to so. then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.2 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls? Find - to so and to so -o s0 to so O (Round to three decimal places as needed.)
A sample of five cans of standard grade tomatoes in puree was taken at random from a production line immediately after filling, and the solid content of each can was weighed. The company desires to test whether the average weight per can is at the specified level of 22 ounces. Past experience indicates that the distribution of the weights per can is approximately normal. The α risk for the test is to be controlled at .01. For the sample, the mean weight was ?̅ =23.9 and the sample standard deviation was s = 0.822 a. State the null and alternative hypotheses. b. Determine the rejection region – indicate how you did this; don’t just give the answer. c. Compute the test statistic – indicate what formula was used. d. What is your conclusion and why?

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