In a recent year, Delaware had the highest capita annual income with $51, 803. If σ = $4850 , what is the probability that a random sample of 34 state residents had a mean income a. greater than $50,000. b. less than $48,000.

The following two-by-two table was created from the data.   WAKE UP DURING THE NIGHT   GENDER Yes No TOTAL Female 125 25 150 Male 91 30 121 TOTAL 216 55 271 What is the risk (probability) of waking up during the night if you are a female? What is the risk (probability) of waking up during the night if you are a male? What is the relative risk (risk ratio) of waking up during the night if you are a female as compared to a male? State your finding in plain language:

Given a normal population whose mean is 320 and whose standard deviation is 58, find each of the following: A. The probability that a random sample of 7 has a mean between 332 and 341. Probability = B. The probability that a random sample of 15 has a mean between 332 and 341. Probability = C. The probability that a random sample of 23 has a mean between 332 and 341. Probability =

A population distribution has o =6. What position in this distribution is identified bya z-score = + 2.00?

ath ess Most Watched Ani... A pharmaceutical company claims their new diabetes medication results in less variance in a patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to test this claim. She divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 26 diabetics who received a placebo. After two weeks, the blood sugar level of each patient in each group was measured with the following results (in mg/dL): Group A: 77.8, 229.4, 199.9, 110.1, 180.2, 116.1, 139.7, 171.1, 37.4, 158.1, 88.4, 195.5, 246.1, 142.4, 178.1, 105.5, 179.6, 146.1, 78.8, 123.7 Group B: 124.5, 130.1, 136, 162.8, 113.4, 72.8, 142.6, 50.3, 179.8, 197, 230, 194.3, 171, 109.3, 114.4, 107.5, 114.7, 195.3, 127.7, 126.4, 85.6, 166.7, 182.3, 113.5, 216.7, 162.8 Ho: Perform a hypothesis test using a 6% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative…

B. Problem Solving: In a departmental examination on Statistics taken by 105 students, the mean grade was 64 and the standard deviation was 10. If the grades are approximately nomally distributed a. What is the probability that a randomly selected student would get a Score below 702 b. About how many students got grades above 60? c. What percentage of students got scores between 60 and 70?

According to Reader's Digest, 38% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 310 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p bar)=(to  2decimals) Sigma subscript p bar= (to  decimals) b. What is the probability that the sample proportion will be within +-0.03  of the population proportion? Round your answer to four decimals.   c. What is the probability that the sample proportion will be within +-0.05  of the population proportion? Round your answer to four decimals.   d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -(increase/decrease) . This is because the increase in the sample size makes the standard error, , - Select your answer -(larger/smaller) .

USA Today reported that about 22% of all people in the United State are illiterate. Suppose you interview 18 people at random off a city street. Find the mean and standard deviation of this probability distribution.

a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?

From candy to jewelry to flowers, the average consumer was expected to spend $104.63 for Mother’s Day in 2005, according to a Democrat & Chronicle article. Local merchants thought this average was too high for their area.  They contracted an agency to conduct a study. A random sample of 60 consumers was taken at a local shopping mall the Saturday before Mother’s Day and produced the sample mean amount of $94.27.  If σ = $29.50, does the sample provide sufficient evidence to support the merchants’ claim at the 0.03 level of significance? 1. Do you recognize any flaws in this study and what conclusions can you draw?     The article “Well-fed Crickets Bowl Maidens Over” reports that female field crickets are attracted to males that have high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate doe male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether chirp rate was related to nutritional…