Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population ofxvalues has an approximately normal distribution.9.19.410.19.19.49.810.09.911.212.1

(a)Use a calculator with mean and sample standard deviation keys to find the sample mean readingand the sample standard deviations. (in mg/dl; round your answers to two decimal places.)

=

mg/dl

s=0.91

mg/dl

(b)Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (in mg/dl; round your answer to two decimal places.)

lower limitmg/dl

upper limitmg/dl

the second question is

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a)Supposen=42andp=0.22.(For each answer, enter a number. Use 2 decimal places.)

np=

nq=

Can we approximatepby a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.)

_____,p_____ be approximated by a normal random variable because _____ _____.

first blank

Yes

No

second blank

can

cannot

third blank

npdoes not exceed

nqdoes not exceed

npexceeds

nqexceeds

bothnpandnqexceed

npandnqdo not exceed

fourth blank (Enter an exact number.)

What are the values of_pand_p? (For each answer, enter a number. Use 3 decimal places.)

_p=

mu sub p hat =

_p=

sigma sub p hat =

fourth blank (Enter an exact number.)

(c)Supposen=58andp=0.21.(For each answer, enter a number. Use 2 decimal places.)

np=

nq=

Can we approximatepby a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.)

_____,p_____ be approximated by a normal random variable because _____ _____.

f

t

fourth blank (Enter an exact number.)

What are the values of_pand_p? (For each answer, enter a number. Use 3 decimal places.)

_p=

mu sub p hat =

_p=

sigma sub p hat =