Question

In: Statistics and Probability

For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol ?μ ,...

For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol ?μ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. Please do not include units such as "mm" or "$" in your answer.)

(a) The diameter of a spindle in a small motor is supposed to be 3 millimeters (mm) with a standard deviation of 0.18 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 13 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 3.13 mm.

H0: ______. Ha: ________

(b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $24.25 with standard deviation $2.29. He takes a sample from 3 local Caldwell stores and finds the average price for this same brand of detergent is $25.27.

H0: _______. Ha:________

Expert Solution

(a) The diameter of a spindle in a small motor is supposed to be 3 millimeters (mm) with a standard deviation of 0.18 mm.

If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 13 spindles to determine whether the mean diameter has moved away from the required measurement.

That means we want to test if the actual average diameter is different from the required measurement of 3 mm.

Let be the actual average diameter of the spindle. We want to test if

the hypotheses are

ans:

(b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $24.25 with standard deviation $2.29.

Let be the true average price of a certain brand of laundry detergent in Caldwell.

Harry thinks that prices in Caldwell are lower than the rest of the country, that is Harry thinks that . This means, we want to test if .

The hypotheses are

ans:

orchestra answered 1 year ago

For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol μ ,...

For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol μ , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. Please do not include units such as "mm" or "$" in your answer.) (a) The diameter of a spindle in a small motor is supposed to be 4.8 millimeters (mm) with a standard...

1) For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol ?μ...

1) For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol ?μ , e.g. mu >1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. Please do not include units such as "mm" or "$" in your answer.) (a) The diameter of a spindle in a small motor is supposed to be 5.7 millimeters (mm) with a...

For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol μμ ,...

For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. Please do not include units such as "mm" or "$" in your answer.) (a) The diameter of a spindle in a small motor is supposed to be 3 millimeters (mm) with...

For each of the following: a) state the null and alternative hypotheses &n

For each of the following: a) state the null and alternative hypotheses b) state the type I & type II errors c) state the consequences of each error d) is one more serious? Explain. 1) You have created a new manufacturing method for producing widgets which you claim will reduce the time necessary for assembling the parts. Currently it takes 75 seconds to produce a widget. The retooling of the plant for this change is very expensive...

For the following problem: A) State the Null and Alternative hypotheses. B) Identify the type of...

For the following problem: A) State the Null and Alternative hypotheses. B) Identify the type of test (left tailed, Right Tailed, Two tailed) and state the level of significance. C) Calculate the p-value and make a decision to either reject/not reject the null hypothesis. D) Interpret your decision in the context of the problem. In a random sample of 100 adult Americans who did not attend college, 37 said they believe in extraterrestrials. In a random sample of 100 adult...

State the null and alternative hypotheses for each of the following situations. (That is, identify the...

State the null and alternative hypotheses for each of the following situations. (That is, identify the correct number μ0 and write H0:μ=μ0 and the appropriate analogous expression for Ha.) A. The average July temperature in a region historically has been 74.5°F. Perhaps it is higher now. B. The average weight of a female airline passenger with luggage was 145 pounds ten years ago. The FAA believes it to be higher now. C. The average stipend for doctoral students in a particular discipline at...

State the null and alternative hypotheses for each of the following situations (each ½ point): a)...

State the null and alternative hypotheses for each of the following situations (each ½ point): a) A guideline for a telemarketing company states the mean time for completed calls should not exceed four minutes. Each month the company’s owner selects a random sample of call logs to determine whether the call-time goal is being met. b) General Crunch Corporation distributes Mini-Oats Cereal in boxes with a stated weight of 18 ounces. To determine whether the filling machine should be adjusted,...

State whether each question is a null or alternative hypotheses, and mark the claim: A. The...

State whether each question is a null or alternative hypotheses, and mark the claim: A. The average income of nurses is at most $36,650. B. The average price of a cd is $25.59. C. The average electric bill for residents of White Pine Estates is smaller than $78.52 per month

State the null and alternative hypotheses for each conjecture. a. A researcher thinks that if expectant...

State the null and alternative hypotheses for each conjecture. a. A researcher thinks that if expectant mother use vitamin pills, the birth weight of the babies will increase. The average birth weight of the population is 8.6 pounds. b. An engineer hypothesizes that the mean number of defects can be decreased in a manufacturing process of compact disks ny using robots instead of humans for certain tasks. The mean number of defective disks per 1000 is 8. c. A psychologist...

Write the null and alternative hypotheses for each situation described below, and indicate whether each test...

Write the null and alternative hypotheses for each situation described below, and indicate whether each test would be left-tailed, right-tailed, or two-tailed. Make sure that you use the correct population parameter. To submit the assignment, you may just type your answers in the text box. (You don't have to worry about typing subscripts or Greek letters on this assignment unless you want to. For example, for , you could type H0: mu = 30.) 1. A cereal manufacturer claims that,...