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Statistics-Hypotheses Testing Determination

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Describe the type of test statistic you would use and state the Null and Alternate Hypotheses.

a. Beef patties for McDonalds are prepared and packaged at a processing plant and shipped frozen to the individual outlets. From past experience, it is known that the weight of individual patties is normally distributed with a mean () of 4 oz and a standard deviation( ) of .5 oz.. If a random sample of 25 patties has an average weight of 4.235 oz., should management feel the patties are not meeting weight specifications?

Type of test statistic_______________

Hypotheses: H0 _______________________

H1 _______________________

b. Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline to use. The four grades are regular, regular leaded, premium and super premium. The test car made 30 trial runs on the test track using each of the four grades. What test would they use to base their recommendation?

Type of test statistic_________________

Hypotheses: H0 _______________________

H1 _______________________

c. A random sample of current students at United University yields the following data:
Major Male Female
Business 20 10
Engineering 15 5
Liberal Arts 30 20
Science 30 20

Use the data to determine if major is independent of sex.

Type of test statistic: _________________

Hypotheses: H0 _______________________

H1 _______________________

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Solution Summary

This solution determines what type of test is used for the scenario and also states the null and alternative hypothesis.

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Describe the type of test statistic you would use and state the Null and Alternate Hypotheses.

a. Beef patties for McDonalds are prepared and packaged at a processing plant and shipped frozen to the individual outlets. From past experience, it is known that the weight of individual patties is normally distributed with a mean () of 4 oz and a standard deviation( ) ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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