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 Find the indicated probability. Round the answer to 4 decimal places. (3pts) The participants in a TV quiz show are picked from a large pool of applicants with approximately equal numbers of men and women. Among the last 11 participants there have been only 2 women. If participants are picked randomly, what is the probability of getting at most 2 women when 11 people are selected?   

Assume that the population has a normal distribution. The amounts (in ounces) of juice in eight randomly selected juice bottles are:  15.4       15.8       15.4       15.1     15.8       15.9     15.8     15.7 Construct a 98% confidence interval for the mean amount of juice in all such bottles. Show detailed work for the steps below (5pts)  a) Calculator command:  b) Information input:  c) Confidence interval (round to 2 decimal places):  d) Interpretation: 

Find the indicated probability. Round the answer to 4 decimal places. (3pts) You are dealt two cards successively without replacement from a shuffled deck of 52 playing cards. Find the probability that both cards are black.    

A light-bulb manufacturer advertises that the average life for its light bulbs is 900 hours. A random sample of 15 of its light bulbs resulted in the following lives in hours.995       590       510     539         739        917       571         555916       728       664      693        708        887       849 Assume the sample comes from a normal distributed population. At the 0.10 significance level, test the claim that the sample is from a population with a mean life of 900 hours. Make sure to provide the appropriate symbol, formula and round off rule for each step (14pts) Round the sample mean and the sample standard deviation to one decimal place. Perform the following steps:  (3pts) Step 1: Requirements (2pts) Step 2: H 0                       H 1 (3pts) Step 3: Test statistic (round to 3 decimal places) (3pts) Step 4: p-value (round to 3 decimal places)          (2pts) Step 5: p- value method (1pt) Step 6: Conclusion  

Find the indicated probability. (4pts)The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women. Among the last 12 participants there have been only 4 women. If participants are picked randomly, what is the probability of getting 4 or fewer women when 12 people are picked? Make sure to first define variable X, then calculate the probability Define variable X=

Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution.The football coach randomly selected twelve players and timed how long each player took to perform a certain drill. The times (in minutes) were:7.0     10.8    9.5    8.0    11.5    7.5     6.4    11.3    10.2    12.6     8.5    6.8Determine a 96% confidence interval for the mean time for all players. Make sure to provide sufficient work for the prompts below. (5 pts)  (1pt) Calculator command: (2pts) Information input:  (1pt) CI (round to 2 decimal places)  (1pt) Interpretation:

Two types of flares are tested and their burning times (in minutes) are recorded. The summary statistics are given below.Brand X                                   Brand Yn = 45                                      n = 50 x-bar = 20.4 min                     x-bar = 16.1 mins = 1.5 min                               s = 0.9 min A) Use a 0.05 significance level to test the claim that the two samples are from populations with the different means. (14pts) Perform the following steps: (3pts) Step 1: Requirements (2pts) Step 2:                 (3pts) Step 3: Test statistic: (round to 3 decimal places) (3pts) Step 4: Critical value (round to 3 decimal places) (2pts) Step 5: Critical value method  (1pt) Step 6: Conclusion    B) Construct a 95% confidence interval for the difference between the burning mean times of two types of flares using the following steps. (6pts) Perform the following steps:             (1pt) Command:              (2pts) Information for the command:             (1pt) CI: (round to 1 decimal place)             (2pts) Does it appear there is a difference between the two mean times of two types of flares? Explain   C) (2pts) Are the hypothesis test and the confidence interval giving the same result? Explain

A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. At the 0.05 significance level, test the claim that the recognition rates are the same in both states.  Show detailed work for the steps below. (14pts) 1) (2pts) Ho:                 H1:  2) (3pts) Requirements:  3) (3pts) Test statistic (round to 3 decimal places):  4) (3pts) P-value (round to 4 decimal places):  5) (2pts) P-value method:  6) (1pt) Conclusion: 

Find the z-score of each test. Then determine which score corresponds to the higher relative position. Show work to justify your answer (5pts) Which is better, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score of 688 on a test with a mean of 493 and a standard deviation of 150?

Solve the problem.On a multiple choice test with 17 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, a) Find the mean for the number of correct answers. Round the answer to the nearest tenth.  (3pts) b) Find the standard deviation for the number of correct answers. Round the answer to the nearest tenth.   (3pts)