Question

Problem 5: An engineer wants to test whether the mean diameter of pencils has increased above...

Problem 5: An engineer wants to test whether the mean diameter of pencils has increased above 0.95 cm. Sample data has given a sample standard deviation of 0.18 cm. A random sample of 36 pencils is selected. A level of significance of 0.05 is chosen.

Part A: State the null hypothesis.

Part B: State the alternative hypothesis.

Part C: What technique is used to test the claim?

Part D: What test statistic is used to test the claim?

Part E: Determine the critical point(s).

Part F: If the sample mean equals 0.99 cm, what statistical decision is made?

Part G: Interpret the statistical decision in Part F.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Problem 5: An engineer wants to test whether the mean diameter of pencils has increased above...
Problem 5: An engineer wants to test whether the mean diameter of pencils has increased above 0.95 cm. Sample data has given a sample standard deviation of 0.18 cm. A random sample of 36 pencils is selected. A level of significance of 0.05 is chosen. Part A: State the null hypothesis. Part B: State the alternative hypothesis. Part C: What technique is used to test the claim? Part D: What test statistic is used to test the claim? Part E:...
Problem 1: The average diameter of pencils is normally distributed with a population standard deviation of...
Problem 1: The average diameter of pencils is normally distributed with a population standard deviation of 0.15 cm. A random sample of 25 pencils found the average diameter to be 0.95 cm. Part A: Construct a 94% confidence interval for the population mean diameter. Part B: Interpret the confidence interval. (1 pt)
A tire producer wants to test whether the mean diameter of the tires produced on a...
A tire producer wants to test whether the mean diameter of the tires produced on a given day equals 36 inches. The firm chooses a random sample of 48 tires, and finds that the sample mean diameter is 36.4 inches and the sample standard deviation is 0.8 inches. Create a 90% confidence interval.
Problem 3: A farmer wants to test whether the mean weight of feed bags has decreased...
Problem 3: A farmer wants to test whether the mean weight of feed bags has decreased below 90 pounds. Part A: State the null hypothesis. Part B: State the alternative hypothesis. Part C: What is a Type I Error in this problem (Be specific to the problem)?
It is claimed that the mean of a population equals 200. You test this claim by...
It is claimed that the mean of a population equals 200. You test this claim by taking a sample of size n = 144. The mean of the sample is calculated to equal 205. Somehow, it is known that the standard deviation of the population of interest is 15. Does the evidence from the sample support the claim, or does it appear that the population mean is not equal to 200? Test at the five percent level. a.) Test this...
A safety engineer records the braking distances of two types of tires. Each randomly selected sample...
A safety engineer records the braking distances of two types of tires. Each randomly selected sample has 35 tires. The results of the tests are shown in the table. At alphaαequals=0.10, can the engineer support the claim that the mean braking distance is different for the two types of tires? Assume the samples are randomly selected and that the samples are independent. Complete parts (a) through (e). Type A x overbar 1x1 equals= 41 feet sigma 1σ1 equals= 4.5 feet...
1.   Carl Reinhold August Wunderlich reported that the mean temperature of humans is 98.6F. To test...
1.   Carl Reinhold August Wunderlich reported that the mean temperature of humans is 98.6F. To test this long-held belief about the average body temperature, medical researchers measured the temperature of 36 randomly selected healthy adults. The sample data resulted in a sample mean of 98.2F and a sample standard deviation of 0.6F. Assuming that the population is normal, test whether the mean temperature of humans is different from 98.6F at the 5% significance level. To gain full credit, you should...
Please show all work: Assignment: You will be answering problems #1 - #4. For each problem,...
Please show all work: Assignment: You will be answering problems #1 - #4. For each problem, you will need to complete parts A through F. Please make sure you answer each part completely and you offer justification where necessary. Do all work "by hand" (not using StatCrunch) as good practice for your next exam! A) Write the claim mathematically and state the null and alternative hypotheses. B) Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed and whether...
A medical researcher wants to determine whether a drug changes the body’s temperature. Seven test subjects...
A medical researcher wants to determine whether a drug changes the body’s temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. Use significance level α = 0.05, and we assume that the body temperatures are normally distributed.pleae show work t-Test: Paired Two Sample for Means Initial Temperature...
The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random...
The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes ?1 = 15 and ?2 = 17 are selected, and the sample means and sample variances are ?̅1 = 8.73, ?2 = 0.35, ?̅ = 8.68, and ?2 = 0.40, respectively. a.Write down null and alternative hypotheses to test if the machines produce rods with different mean diameters. b.What is the type of statistical test that is appropriate? Explain. c.Test the...