1. Write the following in interval notation:4 (6x7)+2 > 7 (3x3) +7x

2. When taking a certain drug 7.2% experience nausea as a side effect. A scientist took a random sample of 1890 individuals who were taking the drug and recorded the sample proportion who experienced nausea as a side effect,p^. Assume the sampling distribution satisfies the criteria and is approximately normal. Round to 4 decimal places. In your calculations use your standard error rounded to 3 decimal places. a) Find the probability that the sample proportion of patients who experience a nausea side-effect at least 0.09. . Find (p ^ 0.09) = ____________

b) Find the probability that the sample proportion of patients who experience a nausea side-effect is less than 0.07. Find P (p^ <0.07) = ____________

c) Find the probability that the sample proportion of patients who experience a nausea side-effect is between 0.06 and 0.09.

Find P (0.06 < p^ < 0.09) = ______________

3. The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days and a standard deviation of 16 days. What percentage of pregnancies last fewer than 255 days?

P (X< 255 days) =______________%

Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.

4.Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 70 stocks traded on the NYSE that day showed that 33 went up. You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of=0.001. What is the sample statistic, the point estimate, for this sample? (Report answers accurate to three decimal places.)

p^=________________________

The p-value for this sample is 0.0009. This p-value leads to a decision to.

a). reject the null

b). accept the null

c). fail to reject the null

As such, the final conclusion in context is that

a). There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3.

b). There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3.

c). The sample data support the claim that the proportion of stocks that went up is more than 0.3.

d). There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is more than 0.3.