Question

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 of x values has an approximately normal distribution.

9.3 8.6 10.1 8.5 9.4 9.8 10.0 9.9 11.2 12.1

(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 limit mg/dl upper limit mg/dl

Answer #1

given data is :

9.3 8.6 10.1 8.5 9.4 9.8 10.0 9.9 11.2 12.1

calculate the sample mean and sample standard deviation we get,

as follows

Sample size (n): 10

Mean (
): 9.89

Standard deviation (s): 1.0979

Confidence level: c = 99.9%

formula for confidence interval is

Where tc is the t critical value for c=99.9% with df=n-1 = 10-1 = 9

using t table we get critical value as

tc = 4.781

8.2301 < < 11.5499

**lower limit = 8.23 mg/dl**

**upper limit = 11.55 mg/dl**

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 of x values has an
approximately normal distribution.
9.3
9.6
10.9
9.5
9.4
9.8
10.0
9.9
11.2
12.1
(b) Find a 99.9% confidence interval for the population mean of
total calcium in this patient's blood....

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 of x values has an
approximately normal distribution.
9.9
9.0
10.5
9.5
9.4
9.8
10.0
9.9
11.2
12.1
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean reading...

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 of x values has an approximately
normal distribution.
9.7
9.0
10.1
9.5
9.4
9.8
10.0
9.9
11.2
12.1
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean reading...

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 of x values has an
approximately normal distribution.
9.9
9.6
10.3
9.1
9.4
9.8
10.0
9.9
11.2
12.1
(a)
Use a calculator with mean and sample standard deviation keys to
find the sample mean reading and...

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 of x values has an approximately
normal distribution. 9.5 9.6 10.3 9.5 9.4 9.8 10.0 9.9 11.2 12.1
(a) Use a calculator with mean and sample standard deviation keys
to find the sample mean reading...

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 of x values has an approximately
normal distribution.
9.7 9.2 10.5 8.7 9.4 9.8 10.0 9.9 11.2 12.1
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean reading...

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 of x values has an
approximately normal distribution.
9.9
8.8
10.9
9.1
9.4
9.8
10.0
9.9
11.2
12.1
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean reading...

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 of x values has an approximately
normal distribution. 9.7 9.0 10.9 8.9 9.4 9.8 10.0 9.9 11.2 12.1
(a) Use a calculator with mean and sample standard deviation keys
to find the sample mean reading...

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 of x values has an approximately
normal distribution. 9.7 8.8 10.1 9.3 9.4 9.8 10.0 9.9 11.2
12.1
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean reading...

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 of x values has an approximately
normal distribution.
10.1 8.4 10.7 9.3 9.4 9.8 10.0 9.9 11.2 12.1
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean reading...

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