The acceptable level for insect filth in a certain food item is 2 insect fragments (larvae, eggs, body parts, and so on) per10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean ofx = 2.6 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).C...(a) Why is the sampling distribution of x approximately normal?A. The sampling distribution is approximately normal because the sample size is large enough.OB. The sampling distribution is assumed to be approximately normal.OC. The sampling distribution is approximately normal because the popluation is normally distributed.D. The sampling distribution is approximately normal because the population is normally distributed and thesample size is large enough.(b) What is the mean and standard deviation of the sampling distribution of x assuming μ = 2 and o = √2?H = 2 (Round to three decimal places as needed.)ox== 0.224 (Round to three decimal places as needed.)(c) What is the probability a simple random sample of 40 ten-gram portions of the food item results in a mean of at least2.6 insect fragments?P(x ≥ 2.6)= (Round to four decimal places as needed.)

Mean µ = 2 (acceptance level)n = 40Sample mean x¯ = 2.6a)n = 40 > 30Central Limit theorem:If X…

Answered: C. The sampling distribution is…

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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Fill in the blanks to complete the following statements. (a) For the shape of the distribution of the sample proportion to be approximately normal, it is required that np(1 -p) 2 (D) Suppose the proportion of a population that has a certain characteristic is 0.3. The mean of the sampling distribution of p from this population is u. = (a) For the shape of the distribution of the sample proportion to be approximately normal, it is required that np(1 - p) 2 (Type an integer or a decimal.)
If I represents the sample mean and S represents the sample standard deviation, then which of the following claims is most likely to be true approximately 95% of the data is within the interval given by 2s approximately 75% of the data is within the interval given by x 2s at least 95% of the data is inside the interval given by ± 2s at least 75% of the data is inside the interval given by ± 2s
The annual salary for one particular occupation is normally distributed, with a mean of about $134,000 and a standard deviation f about $21,000. Random samples of 35 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution. The mean is μ =, and the standard deviation is = (Round to the nearest integer as needed. Do not include the $ symbol in your answers.)
Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. S= n[Σ(f.x²)]-[Σ(f.x)]² n(n-1) Interval Frequency Standard deviation = (Round to one decimal place as needed.) 20-29 2 30-39 3 1 40-49 1 C 50-59 2 60-69 8 70-79 32 80-89 38
The Central Limit Theorem says that the standard deviation of the sampling distribution of the sample means is (A exactly equal to the standard deviation. (B close to the population mean if the sample size is small close to the population standard deviation if the sample size is large. equal to the population standard deviation divided by the square root of the sample D size.
Q2. A laundry for car wash found that the average, for small size car, cleaning time is 5 mins in the morning and 6.5 mins at evening time when a sample of size 30 is taken at the two time periods. From the previous record, the laundry manager knew that car oj = 2 mins for the morning shift and oz = 2.5 mins for morning and evening repectively. Find the interval estimate for 4 - 42 with 90% confidence level.
R5
Use the data in the Excel workbook, on the worksheet labeled "Sample," for this question. The first column is just an observation index labeled i to name each observation. The observations are a simple random sample with replacement from a much larger population. The second column contains specific values y of a random variable Y found in some sampled population. The population standard deviation is not known to you, but it is known that Y has a Normal distribution in the sampled population. Compute the lower bound of an 85% confidence interval for the population mean of the random variable Y. i y 1 37 2 40 3 31 4 27 5 23 6 33 7 29 8 26 9 39 10 28 11 34 12 39 13 31 14 34 15 39 16 33 17 31 18 42
Only need D E F
Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. n[Σ(f•x?)] - [Σ(-x)]2 n(n −1) Interval 58-64 65-71 72-78 30-36 1 37-43 4 44-50 4 51-57 2 Frequency 31 39 CO Standard deviation = (Round to one decimal place as needed.)
Biologists studying horseshoe crabs want to estimate the percent of crabs in a certain area that are longer than 35 centimeters. The biologists will select a random sample of crabs to measure. Which of the following is the most appropriate method to use for such an estimate? A one-sample z-interval for a population proportion A A one-sample z-interval for a sample proportion B A two-sample z-interval for a population proportion C A two-sample z-interval for a difference between population proportions D A two-sample z-interval for a difference between sample proportions

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