Statistic Question
ksb020294
homework.docx
If you randomly select a card from an ordinary deck of cards what is the probability the card selected is red or a king? Enter answer as a fraction, reduced fraction or a decimal rounded to two places. Do not enter answer as a percent. ________(0.54, .54, 0.53, .53, 28/52, 7/13) If you removed two cards from a normal deck of cards without replacement what is the probability the first card is black card and the second card is red? Enter answer as a fraction, a reduced fraction or a decimal rounded to four places. Do not enter answer as a percent. ________(0.2549, .2549, 13/51) If you removed two cards from a normal deck of cards without replacement what is the probability the first card is king and the second card is red? Enter answer as a fraction, a reduced fraction or a decimal rounded to four places. Do not enter answer as a percent. ________(0.0385, .0385, 0.0384, .0384, 1/26, 2/52)
Question 7 |
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Determine the 5 Number Summary for the following data for constructing a Box and Whisker plot:
5, 10, 20, 15, 25, 30, 35, 40, 45, 40, 15, 50, 55, 60, 60, 75, 70
Enter the data in the proper numerical sequence with 1 decimal place precision, or an integer if appropriate, for each of the answers.
You may use either the Lane or Illoswky procedure for determining the 5 Number Summary.
Enter numbers from left to right
Q-8 Suppose that a committee is studying the waste of time in our judicial system. The committee is interested in the mean amount of time individuals spend at the courthouse waiting to be called for jury duty.
The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours.
The data will be used for determining a confidence interval for the mean amount of waiting time spend at the courthouse waiting to be called for jury duty.
Which distribution should be used for this problem?
a Uniform distribution
b Normal distribution
c t distribution
d Chi Sq distribution
What is the number of degrees of freedom (df) for this problem? Enter Na if the distribution selected does not require df
Enter the answers for the 2 questions in the same order in which they were asked.
___b Normal Distribution___
___0.453___
Construct a 95% confidence interval for the population mean time wasted.
Enter the lower number of the confidence interval first followed by the upper number. Enter answers rounded to 2 decimal places.
___0.153___
________
What is meant by the term “95% confident” when constructing a confidence interval for the mean?
If we took repeated samples:
a. Approximately 95% of the samples would produce the same confidence interval.
b Approximately 95% of the confidence intervals would contain the population mean.
c Approximately 95% of the confidence intervals would contain the sample mean. d The sample mean would equal the population mean in approximately 95% of the samples.
Enter the correct answer by selecting the appropriate letter.
___The sample mean would equal the population mean in approximately 95% of the samples___
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Question 4 |
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4 / 20 points |
Question - Schadek Silkscreen Printing Inc. purchases plastic cups on which to print logos for sporting events, proms, birthdays, and other special occasions. Zack Schadek, the owner, received a large shipment this morning. To ensure the quality of the shipment, he selected a random sample of 300 cups. He found 15 to be defective.
a What is the estimated proportion defective cups in the population? Enter answer as a decimal with 2 place precision.
___.05___
b What is the appropriate distribution for calculating a 95% confidence interval?
a Uniform distribution
b Normal distribution
c t distribution
d Chi Square distribution
Answer this question by entering the appropriate letter.
___b Normal Distribution___
c What is the degrees of freedom (df) for the appropriate distribution. Enter Na or 0 for the df if the df is not required by the appropriate distribution.
___0.983___
d Develop a 95% confidence interval for the proportion of defective cups.
Enter the lower and upper limits for the conference interval by entering the lower limit first. Rounded each conference limit to 3 decimal places.
___0.02534___
___0.07466___
e Zack has an agreement with his supplier that he should return lots that are 10% or more defective. Should he return this lot?
Select the correct answer and enter the appropriate letter.
a Zack should not return the lot because the percent defective are within the appropriate limits.
b Zack should return the lot because the percent defective is not within the appropriate limits.
c The confidence interval does not provide the apropriate information for Zack to make a decision with respect to returning the lot.
___a Zack should not return the lot because the percent defective are within the appropriate limits___
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Question 5 |
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6 / 20 points |
The waiting time for customers at MacBerger Restaurants follows a normal distribution with a population standard deviation of 1 minute. At the Warren Road MacBerger, the quality assurance department sampled 49 customers and found that the mean waiting time was 2.75 minutes.
At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes.
A The Null Hypothesis is:
a The waiting time for customers at MacBerger Restaurants is equal to _______. b The waiting time for customers at MacBerger Restaurants is greater than _______. c The waiting time for customers at MacBerger Restaurants is less than _______. d The waiting time for customers at MacBerger Restaurants is not equal to _______.
Answer the question by:
Selecting the appropriate letter and then entering the correct number for the Null Hypothesis. Enter numerical value of the Null Hypothesis to the same precision as presented in the question.
___a The waiting time for customers at MacBerger is equal to 3___
___6___
B The Alternate Hypothesis is:
a The waiting time for customers at MacBerger Restaurants is equal to ______. b The waiting time for customers at MacBerger Restaurants is greater than ______. c The waiting time for customers at MacBerger Restaurants is less than ______. d The waiting time for customers at MacBerger Restaurants is not equal to ______.
Answer the question by:
Selecting the appropriate letter and then entering the correct number for the Alternate Hypothesis. Enter numerical value of the Alternate Hypothesis to the same precision as presented in the question.
___c The waiting time for customers at MacBerger Restaurants is less than 3___
___3___
C The appropriate distribution is:
a Uniform Distribution b Normal Distribution c t Distribution d Chi Square Distribution
The Hypothesis test is a:
a Left tail test b Right tail test c Two tail test
Enter the appropriate letters for answering the questions in the same order in which the questions are asked.
___b Normal Distribution___
___Left tail test___
D Select and enter the letter for the appropriate decision rule. Enter the critical value as a decimal rounded to 2 or 3 places.
Decision:
a Ha hypothesis: If the test statistic is equal to or greater than the critical value which is _____.
b Ha hypothesis: If the test statistic is equal to or less than the critical value which is _____.
c Ha hypothesis: If the absolute value of the test statistic is equal to or greater than the critical value which is _____.
___b Ha hypothesis: if the test statistic is equal to or less than the critical value which is 01.645___
___01.645___
E The numerical value of the test statistic is: Enter answer rounded to 2 decimal places.
___-1.75___
F Hypothesis Test Decision:
a Null Hypothesis: Do not reject the null hypothesis. The data does not support the Alternate Hypothesis. b Alternate Hypothesis: Reject the null hypothesis. The data supports the Alternate Hypothesis. c The waiting time for customers at MacBerger Restaurants cannot be determined because the data set is a sample. Enter the correct answer by selecting the appropriate letter.
___b. Alternate Hypothesis: Reject the null hypothesis. The data supports the Alternate Hypothesis___
G An alternate method for performing the Hypothesis Test would be to calculate a Pvalue based upon the numerical value of the Test Statistic.
If the Pvalue is larger than the significance level of the test the appropriate decision would be the Null Hypothesis. If the Pvalue is less than or equal to the significance level of the test the appropriate decision would be the Alternate Hypothesis.
Based upon the data what is the Pvalue for the Hypothesis Test?
Enter answer as a decimal rounded to 2 places with a zero to the left of the decimal point. Do not enter answer as a percent.
___0.04
