**Transcription for Educational Website:**The acceptable level for insect filth in a certain food item is 4 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 60 ten-gram portions of the food item is obtained and results in a sample mean of 4.5 insect fragments per ten-gram portion. Complete parts (a) through (c) below.[Click here to view the standard normal distribution table (page 1).](#)[Click here to view the standard normal distribution table (page 2).](#)---**(a) Why is the sampling distribution of \(\bar{x}\) approximately normal?**- **A.** The sampling distribution is approximately normal because the population is normally distributed.- **B.** The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough.- **C.** The sampling distribution is approximately normal because the sample size is large enough.- **D.** The sampling distribution is assumed to be approximately normal.**Explanation:**When we talk about the sampling distribution of the sample mean \(\bar{x}\), its shape being approximately normal often depends on the sample size and the distribution of the population. According to the Central Limit Theorem, for a sufficiently large sample size, the distribution of the sample mean will tend to be normal regardless of the population distribution.In this particular scenario, one must consider whether the population distribution is known to be normal and if the sample size (60 in this case) is sufficient for the normal approximation.

Mean µ = 4 (acceptance level)n = 60Sample mean x¯ = 4.5a)n = 60 > 30Central Limit theorem:If X…

Answered: The acceptable level for insect filth…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to a recent study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of u = 17.44 mm and a standard deviation of a = 1.72 mm. Complete parts (a) through (d) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. Find the percentage of the tarantulas that have a carapace length between 15 mm and 16 mm. The percentage of the tarantulas that have a carapace length between 15 and 16 is 12.27 %. (Type an integer or decimal rounded to two decimal places as needed.) correct: 1 b. Find the percentage of the tarantulas that have a carapace length exceeding 18 mm. The percentage of the tarantulas that have a carapace length exceeding 18 is%. (Type an integer or decimal rounded to two decimal places as needed.) E S D R F T ^ 6 G Y & 7 H U * 8 J DI FB 1 ( 9 K DD F9 0 0 L F10 P : + 11 = 11
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According to a recent study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of u = 17.08 mm and a standard deviation of o = 1.57 mm. Complete parts (a) through (d) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. Find the percentage of the tarantulas that have a carapace length between 15 mm and 16 mm. The percentage of the tarantulas that have a carapace length between 15 and 16 is (Type an integer or decimal rounded to two decimal places as needed.) %.
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The acceptable level for insect filth in a certain food item is 4 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 60 ten-gram portions of the food item is obtained and results in a sample mean of x=4.5 insect fragments per ten-gram portion. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ... (a) Why is the sampling distribution of x approximately normal? A. The sampling distribution is approximately normal because the popluation is normally distributed. OB. The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough. C. The sampling distribution is approximately normal because the sample size is large enough. D. The sampling distribution is assumed to be approximately normal. (b) What is the mean and standard deviation of the sampling…
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.5, 2, 2.9, 3.8, 4.6, 1.1, 1.8, 2.6, 1.4, 2.8, 4.5, 1.2, 1, 0.7, 3, 1.2 What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer < ≠ = > H1:H1: ? p μ Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to…
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 12 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.2, 4.3, 4.5, 1.4, 1.5, 2.7, 1.8, 2.4, 1.3, 2, 2.2, 1.3 What can be concluded at the αα = 0.05 level of significance? A. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per…

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