A genetic experiment with peas resulted in one sample of offspring that consisted of 435 green peas and 154 yellow peas. a. Construct a 90​% confidence interval to estimate of the percentage of yellow peas. b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations? a. Construct a 90​% confidence interval. Express the percentages in decimal form. nothing less than p less than nothing ​(Round to three decimal places as​ needed.)

Consider a bond selling at par ($100) with a coupon rate of 6% and 10 years to maturity. (a) What is the price of this bond if the required yield is 15%?

(b) What is the price of this bond if the required yield increases from 15% to 16%, and by what percentage did the price of this bond change?

(c) What is the price of this bond if the required yield is 5%?

(d) What is the price of this bond if the required yield increases from 5% to 6%, and by what percentage did the price of this bond change?

Americans often think of themselves as quite diverse in their political opinions, within the continuum of liberal to conservative. Let’s use data from the 2006 GSS to investigate the diversity of political views. The percentage distribution shown displays respondents’ self-rating of their political position.

What is the IQV for this variable?

A​ BBB-rated corporate bond has a yield to maturity of 9.5 %. A U.S. treasury security has a yield to maturity of 7.8 %. These yields are quoted as APRs with semiannual compounding. Both bonds pay​ semi-annual coupons at a rate of 8.8 % and have five years to maturity. a. What is the price​ (expressed as a percentage of the face​ value) of the treasury​ bond? b. What is the price​ (expressed as a percentage of the face​ value) of the​ BBB-rated corporate​ bond? c. What is the credit spread on the BBB​ bonds?

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 52 ounces and a standard deviation of 5 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule.

Suggestion: sketch the distribution in order to answer these questions.

a) 95% of the widget weights lie between *blank* and *blank*

b) What percentage of the widget weights lie between 37 and 62 ounces?

c) What percentage of the widget weights lie above 47 ?

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 62 ounces and a standard deviation of 3 ounces.

Use the Standard Deviation Rule, also known as the Empirical Rule.

Suggestion: sketch the distribution in order to answer these questions.

a) 95% of the widget weights lie between blank and blank

b) What percentage of the widget weights lie between 59 and 68 ounces?

c) What percentage of the widget weights lie above 53 ?

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 63 ounces and a standard deviation of 7 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 42 and 77 ounces? % c) What percentage of the widget weights lie below 70 ? %

If the population proportion is 0.70 and the sample size is n=100

a) Determine the standard error of the proportion.

b) What proportion of the samples will have between 20% and 30% of people who will considered “successful”?

c) What proportion of the samples will have less than 75% of people who will be considered “successful”?

d) 90% of the samples will have less than what percentage of people who will be considered “successful”?

e) 90% of the samples will have more than what percentage of people who will be considered “successful”?

A​ BBB-rated corporate bond has a yield to maturity of 7.0 % A U.S. treasury security has a yield to maturity of 5.1 % These yields are quoted as APRs with semiannual compounding. Both bonds pay​ semi-annual coupons at a rate of 5.6 % and have five years to maturity.     a. What is the price​ (expressed as a percentage of the face​ value) of the treasury​ bond? b. What is the price​ (expressed as a percentage of the face​ value) of the​ BBB-rated corporate​ bond? c. What is the credit spread on the BBB​ bonds?

A mechanical workshop has registered that three cars with electrical problems arrive in the morning, eight with mechanical problems and three with sheet metal problems, and in the afternoon two with electrical problems, three with mechanical problems and one with sheet metal problems.
a) Construct the contingency table with the previous data.
b) Calculate the percentage of those who come in the afternoon.
c) Calculate the percentage of those who attend due to mechanical problems.
d) Calculate the probability that a car with electrical problems will come in the morning.