Chapter 81) Construct a 95% confidence interval estimate for the population mean given thats =30 , x = 45 and n= 20.2) A random sample of 81 workers at a company showed that they work an average of100 hours per month with a standard deviation of 27 hours. At 95% confidence, howmany more workers need to be included in the sample to provide a confidence intervalwith length 4 (i.e., the margin of error being 2)?Chapter 93) Given the following null and alternative hypothesis test:Họ : µ > 210НА: и < 210If a = 0.025 with n = 25, s = 9 , and x = 208.2, thena. state the decision rule in terms of the critical value of test statistic.b. calculate the value of the test statistic.c. state the conclusion.4) In the following null and alternative hypothesesHo : µ =68 and H A:+ 68 , a =0.02 , x = 69.02 , o = 5.4 and n=40a. State the decision rule in terms of the critical value of the test statistic.b. State the calculated value of the test statistic.c. State the conclusion.d. Compute the p - value. Does its value support the claimed obtained in part a justify.15) A company claims that the coffee contents in a bottle of coffee are at least 200 grams. Totest their claim, a random sample of 20 bottles was taken and it was found that the meansample were 190 grams with a sample standard deviation of 5 grams. AtHo : µ > 200 against the alternative hypothesis HA : µ <contents in the0.01 level of significance, test200. Can we conclude that the company's claim is justified?

Note: As per the guidelines, only first question has been solved here. Given data: Sample size, n =…

Answered: 1) Construct a 95% confidence interval…

Math

Statistics

1) Construct a 95% confidence interval estimate for the population mean given that s =30 , x = 45 and n=20.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Determine the point estimate of the population mean and margin of error for the confidence interval.…

A: Given, Lower bound = 18 upper bound = 26

Q: Suppose we know that a confidence interval is (27,35), with a margin of error of 4. Find the sample…

Q: Assume a researcher wants to compare the mean Alanine Aminotransferase (ALT) levels in two…

A: x¯1=69, s1=19, n1=38x¯2=32, s2=14, n2=37

Q: A sample of 28 adults attending a country fair determined that the mean age was 34, given that the…

Q: A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many…

A: The formula for the sample size is as follows:

Q: Determine the margin of error for a confidence interval to estimate the population mean with n = 21…

A: n = 21 s = 12.6 confidence interval = 80%.

Q: Construct a 90% confidence interval for H₁-H2 with the sample statistics for mean cholesterol…

A: Given Data:For Sample 1:Sample size, n₁ = 18Sample mean, x̄₁ = 99Sample standard deviation, s₁ =…

Q: Suppose we are interested in a confidence interval for the population mean scores on an exam. A…

A: We have given that, Sample mean (x̄) = 67.89, population standard deviation (σ) = 9.90 and sample…

Q: Suppose we are interested in a confidence interval for the population mean scores on an exam. A…

A: We have given that, Sample mean (x̄) = 107.65, population standard deviation (σ) = 4.72 Then, We…

Q: Find the critical value Z a/2 for the 92% confidence interval.

A: We have given information, The confidence level is C=0.92. Here we have to obtain critical value of…

Q: What is the confidence interval estimate for the population mean? If the sample mean is 13 and error…

A: Given information: The sample mean is, M = 13 The error bound for the mean is, E = 3.2 It is…

Q: Suppose that the population standard deviation of student scores is 20. What will be the sample size…

Q: using the confidence interval method, to test that population mean equals 14, a researcher obtains…

A: Solution: State the hypotheses. Null hypothesis: H0: µ=14. That is, the population mean is equal to…

Q: Find Ta/2 for a 90% confidence interval and a sample size of 30.

A: 90% confidencve inetrval for Sample size : n = 30Critical value of T = ?

Q: The mean GPA at a university is reported to be 2.69. A sample of 100 students at this university has…

A: The point estimate of population mean is sample mean.

Q: Assume a researcher wants to compare the mean Alanine Aminotransferase (ALT) levels in two…

A: Consider µD is the mean ALT levels for individuals who drink alcohol and the µND is the mean ALT…

Q: If n=590 and p=0.93, construct a 90% confidence interval.

A: Express the expression for the confidence interval. C.I=p±Z*p(1-p)n Here, Z* is the critical value .…

Q: 5. An experiment was conducted to compare the vinegar content of salad dressing on two different…

A: Given: Sample size = n1 = n2 = 10 Sample variance s12=2.0 Sample variance s22=0.4 Confidence level…

Q: Suppose we are interested in a confidence interval for the population mean scores on an exam. A…

A: We have given that.Sample size (n) = 99Sample mean (x̅) = 95.71Population Standard deviations (σ) =…

Q: e) Find the critical value used to construct a 80% Confidence Interval for the mean. Only for this…

A: Solution: e. From the given information, the population standard deviation is σ=23.8 is known. The…

Q: If n = 380 and X = 304, construct a 95% confidence interval for the population proportion, p. Give…

A: Given: n = 380 x = 304

Q: If X= 102, o=9, and n=63, construct a 95% confidence interval estimate of the population mean, μ.

A: Formula to constructing the confidence interval about mean , when the population standard deviation…

Q: If n = 530 and X = 424, construct a 99% confidence interval for the population proportion, p. Give…

Q: Suppose we need to construct a 95% confidence interval for the mean of a normal population with…

Q: If a 90% confidence interval for the mean is (75.3 to 80.9), we would reject H0:  =70 in favor of…

A: Given, 90% confidence interval (75.3,80.9) i.e. The hypothesis to be tested is given as:

Q: Find the value of ta/2 and n = 25 for the 90% confidence interval for the mean if the population…

Q: The pH of rain, measured at a weather station in Michigan, was observed for 39 consecutive rain…

Q: The mean was found to be 25% and the confidence interval was (20.4%,29.6%) therefore the margin of…

Q: Find the critical value for a 94% confidence interval when the sample size is 51 and the population…

A: Given Level of significance ɑ=0.06 , n=51 Population standard deviations σ known

Q: Indentify the t-score for a 95% confidence interval if the sample size is 50 t=

A: Given n=20 CI=95%

Q: and X = 96, construct a 90% confidence interval for the population proportion, p. Give your answers…

A: Given X=96 N=120

Q: Question 2 Question 4 Income Income Poverty line is at $12. Based on the table above, what is the…

A: We have to calculate some measures related to poverty.

Q: the 95% confidence interval for estimating the population mean μ If sample mean X = 50, sample size…

A: We have given that Sample size = 60 Sample mean = 50 Population standard deviation = 10. 95%…

Q: sample mean of 59 years old and sample standard deviation of 5 years. The margin of error for a…

A: Given: Mean=59 The margin of error for a 95% confidence interval estimate for the population mean…

Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

100%

Chapter 8
1) Construct a 95% confidence interval estimate for the population mean given that
s =30 , x = 45 and n= 20.
2) A random sample of 81 workers at a company showed that they work an average of
100 hours per month with a standard deviation of 27 hours. At 95% confidence, how
many more workers need to be included in the sample to provide a confidence interval
with length 4 (i.e., the margin of error being 2)?
Chapter 9
3) Given the following null and alternative hypothesis test:
Họ : µ > 210
НА: и < 210
If a = 0.025 with n = 25, s = 9 , and x = 208.2, then
a. state the decision rule in terms of the critical value of test statistic.
b. calculate the value of the test statistic.
c. state the conclusion.
4) In the following null and alternative hypotheses
Ho : µ =68 and H A:
+ 68 , a =0.02 , x = 69.02 , o = 5.4 and n=40
a. State the decision rule in terms of the critical value of the test statistic.
b. State the calculated value of the test statistic.
c. State the conclusion.
d. Compute the p - value. Does its value support the claimed obtained in part a justify.
1
5) A company claims that the coffee contents in a bottle of coffee are at least 200 grams. To
test their claim, a random sample of 20 bottles was taken and it was found that the mean
sample were 190 grams with a sample standard deviation of 5 grams. At
Ho : µ > 200 against the alternative hypothesis HA : µ <
contents in the
0.01 level of significance, test
200. Can we conclude that the company's claim is justified?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ratios$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The mean test score for a simple random sample of n=100 students was =80. The population standard deviation of test scores is σ=15. Construct a 95% confidence interval for the population mean test score μ.
If n = 550 and X = 440, construct a 90% confidence interval for the population proportion, p. Give your answers to three decimals < p <
if n = 42, p = 0.6 then construct the 98% confidence interval for the population proportion.
If n=470 and p̂ (p-hat) = 0.65, construct a 95% confidence interval.
Estimate the minimum sample size needed to achieve the margin of error E=0.013 for a 95% confidence interval.
If x=76 ₁² = 14 and n=65, Construct a 95% Confidence interval estimate of the population mean, pe الكيك
A random sample of 9 observations from a normally distributed population produced a mean x̅ =12.4 and a standard deviation s= 2.8. find a 99% confidence interval for the population mean?