Constructing a Confidence Interval for a Population Mean A biologist measures the lengths of a random sample 30 mature brown trout in a large lake and finds that the sample a mean weight of 41 pounds. Assume the population standard deviation is 3.7 pounds. Based on this, construct a 90% confidence interval for the mean weight of all mature brown trout in the lake. Round your anwers to two decimal places. <μ

Constructing a Confidence Interval for a Population Mean A biologist measures the lengths of a random sample 30 mature brown trout in a large lake and finds that the sample a mean weight of 41 pounds. Assume the population standard deviation is 3.7 pounds. Based on this, construct a 90% confidence interval for the mean weight of all mature brown trout in the lake. Round your anwers to two decimal places. <μ

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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cor A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H. Choose the correct answer below. OB H: u#57.4 H µ= 57.4 O A. Ho: µ = 57.4 H3: µ#57.4 C. Ho: H= 55 H: µ# 55 D. H,: u2 55 H µ<55 OF H: µz57.4 H: u< 57.4 O E. Ho: u#55 H: u= 55 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical values are + O B. The critical value is
The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
Consider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2. A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.30979 g and a standard deviation of 0.06539 g. Identify the weights that are significantly low or significantly high. .BBE What weights are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Weights that are greater than (Round to five decimal places as needed.) O B. Weights that are between and (Round to five decimal places as needed. Use ascending order.) OCWeights that are less than (Round to five decimal places as needed.)
The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches
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Claim: The standard deviation of pulse rates of adult males is less than 10 bpm. For a random sample of 173 adult males, the pulse rates have a standard deviation of 8.9 bpm. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed)
Calcium levels in people are normally distributed with a mean of 9.7 mgdL and a standard deviation of 0.5 mgdL . Individuals with calcium levels in the bottom 10% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Estimation Theory