MAST 333 & MATH 637

Instructor: Dr. Lisa Kakinami

Due Date: March 22, 2019

Math HW代写

Math HW代写 All questions must be solved by hand (including charts/figures). Calculate the standard error of the difference in the two sample proportions

Math HW代写
Math HW代写

Assignment #3 Math HW代写

Notes:

  • All questions must be solved by hand (including charts/figures). Show your work for full credit.
  • A hardcopy is due at the START of class. Indicate name, student ID and course number.  
  • Assignments have to be done independently.
  • Late assignments will not be accepted.

1. Math HW代写

Apple is concerned that their market shares among women is different than that among men. Independent random samples of n₁=150(men) and n₂=150 (women) were randomly selected from binomial populations 1 and 2 of cell phone purchasers in 2018, respectively. Sample 1 had 80 iPhones purchased, and sample 2 had 88 iPhones purchased.

1a.

Suppose you wish to detect a difference between the two parameters if one exists. What should you choose as the null and alternative hypotheses for a statistical test?(1 point)

1b. Math HW代写

Calculate the standard error of the difference in the two sample

proportions

1

(1 point)

1c.

Based on your knowledge of the standard normal distribution, is the standard error that you calculated previously (1b), a likely or an unlikely observation, assuming that Hο is true and the two population proportions are the same? Justify your conclusion.(2 points)

1d.

Find the p-value for the test. Test for a significant difference at the 1% significance level and state whether you reject or fail to reject the null (and why).(2 points)

2. Math HW代写

Suppose the population standard deviation equals 10. What is the sample size needed to estimate, with 95% confidence, a population mean within 1.5 units of its true value?(2 points)

2
Pizza for everyone5.24.36.77.83.95.06.34.7
Burger Haven7.18.34.73.94.65.46.06.3
4
4a.

Calculate whether the variances are equal with α=0.05. State what the null and alternative hypothesis are.(3 points)

4b.

Regardless of what you concluded for 4a, test whether there is a significant difference between the two restaurants’ wait times. Use a 95% confidence interval. (4 points) 

5. Math HW代写

A tutor guarantees to his customers that his studying/learning tips will significantly improve their test scores. Exam scores (before and after) for five customers are provided below.

 12345
Before5047.552.549.053.0
After5148.052.549.553.3
5a.

State the appropriate null and alternative hypotheses to test whether the tutoring significantly improves test scores.(1 point)

5b.

Calculate the value of the test statistic. (3 points)

5c. Math HW代写

Based on an alpha of 0.05, determine whether you reject or fail to reject the null hypothesis. Justify your answer.(2 points)

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Math HW代写
Math HW代写

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