Question

of 6 23. The pregnancies of pigs are normally distributed with a mean of 110 days and a standard deviation of 11 days. What is the probability that a pregnancy lasts less than 108 days? a. Sketch the graph b. Find the probability 24. A study of the amount of time it takes a to cook a steak shows that the mean is 7 minutes and the standard deviation is 2 minutes. If 14 steaks are randomly selected, find the probability that their mean cooking time is less than 8 minutes. 25. A multiple choice test has 20 questions. Each question has 2 possible answers (True or False), only one of which is correct. If a student guesses on all questions, what is the probability that he will answer at least half of the questions correctly? 26. In a random sample of 95 college students, 40 wished they would have chosen a different major. Use the following steps to construct a 95% confidence interval for the true proportion of all students who wished they would have chosen a different major. a. Find the number of sample values, n to find the somple proportion, Find the critical score, d When calculated correctly. E-0.0992. Construct a confidence interval for the population proportion e. Write a sentence summarizing the confidence interval 27. A random sample of 175 people in a city results in 52% who would vote for Proposal T. The mayor claims that the actual percentage of voters is more than 55% Use the following steps to test the claim at 0.05 significance level Q. State the claim b. State the opposite of the claim c. State the null hypothesis d. State the alternative hypothesis e. Stote the type of test left tailed, right toled, or two tailed). Find the critical value and make a sketch f. identify p. 4,and. When calculated correctly, 20.30 9. Is your verdict "reject H" or "fail to reject " h. Using the flow chart to guide you, write a conclusion MacBook Air ** % 5 & 7 4 8

Answer 1

23)a)​​​​​​

77 88 99 110 121 132 143

b)
"P(x 210 8) = ? (x-110 (108-10) = P(Z <-0.1818) = (-0.1818) L. =1-10.1818) = 0.4279. 23 (round to decimals) 24- We know; if x~ N(4,62) then X = xi and X~ N(MG

Here; n=14. To find; P (X<8) =P(² 8-7 774 14 = P(Z<*) - € (1.8706) cround to 4 decimals) = 0.9693 25- Lets Y: No. of correct ansucess anung 20 questions To find; P (Y7/10); y~ Bin (20, ²) zory = 2 (20)*(+)**(1-1) =10 0.5881 (round to 4 decimals)
As per guidelines the first question is being answered.

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