The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breakingstrength is 2140 pounds with a variance of 33,672.25. A consumer protection agency claims that the actual variance is higher. Suppose that the consumeragency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis Ho and the alternative hypothesis H, they would usefor this test.Ho: 0H: 0Họ:O

Write null and alternative hypothesis

Answered: The breaking strengths of cables…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The dean of a major university claims that the mean number of hours students study at her university (per day) is at most 5.6 hours. If a hypothesis test is performed, how should a decision that fails to reject the null hypothesis be interpreted?
A tire producer wants to test whether the mean diameter of the tires produced on a given day equals 36 inches. Whether the mean diameter is less than 36 is of little or no importance, but it is important for the firm to determine whether or not the mean diameter is more than 36 inches. The firm chooses a random sample of 49 tires, and find that their mean diameter is 36.4 inches and the sample standard deviation is 0.8 inches. Should the firm accept the hypothesis that the mean diameter is 36 inches? Use alpha = 0.05. What is the null hypothesis? What is the alternative hypothesis? What distribution are you using? What test are you running? What is your conclusion?
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 35 type K batteries and a sample of 44 type Q batteries. The type K batteries have a mean voltage of 8.56, and the population standard deviation is known to be 0.565. The type Q batteries have a mean voltage of 8.74, and the population standard deviation is known to be 0.307. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let µj be the true mean voltage for type K batteries and µ2 be the true mean voltage for type Q batteries. Use a 0.05 level of significance. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to two decimal places.
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a standard deviation of 0.05. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.05. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.
A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? Round your answer to four decimal places.
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.06 The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.06. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test.
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 409 gram setting. It is believed that the machine is underfilling the bags. A 35 bag sample had a mean of 407407 grams. Assume the population variance is known to be 324. A level of significance of 0.02 will be used. State the null and alternative hypotheses.
Nowadays, people tend to buy products online. The shipping department manager claims that the average order shipped by their company is 1.89kgs. The general manager wants to verify if his claim is true. So, he randomly selects 25 samples of orders. What can the general manager conclude at 0.01 level of significance if the sample has a mean weight of 2.07kgs with a standard deviation of 0.72kg? What is your basis in rejecting the null hypothesis?What conclusion can you derive if you reject the null hypothesis?If you fail to reject the null hypothesis, does it mean that there is noenough evidence to back up the decision? Why?
On a particular production line, the likelihood that a light bulb is defective is 5%. Ten light bulbs are randomly selected. What are the mean and variance of the number of defective bulbs?
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a standard deviation of 0.06. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.06. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H₁ that we would use for this test. Ho H₁: H₁: μ ☑ р <0 □□ 0 S ロ=ロ x □<□ □≠□ ค
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.05. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.05. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.04. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesisH1 that we would use for this test.

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS