Assume that a simple random sample has been selected from a normally distributed

Question

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use a significance level of a - 0.05 to test the claim that mu = 0.05 to test the claim that mu = 32.6. The sample data consist of 15 scores for which x = 38.2 and s = 5.5. Use the traditional method of testing hypotheses. The brand name of a certain chain of coffee shops has a 58% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee sop in the town. He selects a random sample of 9 Coffleton, residents. Find the probability that exactly 4 of the 9 Coffeton residents recognize the brand name. A) 0.0900 B) 0.113 C) 0.186 D) 0.00148 In one town, 59% of all voters are Democrats. It two voters are randomly selected for a survey, find the probability that they are both Democrats. A) 0.348 B) 1.180 C) 0.590 D) 0.342 A) manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective, Find the P-value for a test of the manufacturer's claim. A) 0.1736 B) 0.3409 C) 0.3264 D) 0.1591 A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 32% of them plan to go into general practice. Find the P-value for a test of the school's claim. A) 0.3461 B) 0.3078 C) 0.1539 D) 0.1635 In a sample of 47 adults selected randomly from one town, it is found that 9 of them have been exposed to a particular strain of the flu. Find the P-value for a test of the claim that the proportion of all adults in the town that have been exposed to this stain of the flu is 8%. A) 0.0262 B) 0.0048 C) 0.0524 D) 0.0024

Explanation / Answer

7)
We will use BINOMIAL pdf func. to solve the problem : nCxp^x (1-p)^n-x

Prob of Democrats voting =.59

P(X=2)

= 2C2(.59^2)(.41^0)

=.3481

Option A is the right answer here

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