MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Suppose we gather a random sample of 20 data points. Assume the population standard deviation is 11. If the average of the data points was 23, what is a 90% confidence interval for the
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- A particular fruit's weights are normally distributed, with a mean of 427 grams and a standard deviation of 9 grams.The heaviest 20% of fruits weigh more than how many grams?Give your answer to the nearest gram.arrow_forwardIf the standard error, of a sample data set is 5 and the standard deviation, of the distribution is 45, how many data points, n are in the sample data set?arrow_forwardSuppose the test scores in a class are normally distributed with a mean of 70 and a standard deviation of 3. What percent of students fell in the range of 61-79?arrow_forward
- Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s= 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than = 19 inches? Use α = 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: μ = 19 in; H₁: μ 19 in; H₁: μ = 19 in O Ho: μ 19 in (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 o is known. O The Student's t, since the sample size is large and o is known. O The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and is…arrow_forwardAssume that an intelligence test scores are distributed normallt with a mean of 100 and a standard deviation of 15. If you scored 124 on this intelligence test, what is your z-score on this distribution.arrow_forwardA sample with 45 observations is taken. The mean is found to be 25, while the population standard deviation is known to be 6. What is the 90% confidence interval?arrow_forward
- If the standard deviation of all dogs is 54 lbs, what is the standard deviation of the average weight of dogs in a simple random sample of 110 dogs, i.e. what is the standard deviation of the sample mean? Answer to 4 decimal places.arrow_forwardI've been given a population (units) mean of 30 and a standard deviation of 1.8. I've been told 6 units have been selected and have been asked to determine what is the distribution of the mean (exponential, normal or uniform), and find the sample mean and standard deviation of these 6 units selected based of the population information.arrow_forwardAssume that adults have iq scores that are normally distributed with a mean of 98.2 and a standard deviation 17. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. The first quartile isarrow_forward
- Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: 19 in Ho: M = 19 in; H₁: μ # 19 in 1 Ho: M = 19 in; H₁: μ 19 in; H₁: μ = 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is known. The standard normal, since the sample size is…arrow_forwardPyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.4 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. What is the value of the sample test statistic? (Round your answer to three decimal places.)Estimate the P-value. a) P-value > 0.250 b) 0.100 < P-value < 0.250 c) 0.050 < P-value < 0.100 d)0.010 < P-value < 0.050 e) P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value. Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α? a) At the α = 0.05…arrow_forwardAssume that adults have iq scores that are normally distributed with a mean of 97.9 and a standard deviation 16. Find the first quartile Q1, what is the iq score separating the bottom 25% from the top 75%.arrow_forward
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