Question

How much should a healthy kitten weigh? Suppose that a healthy 10-week-old (domestic) kitten should weigh an average of μ = 26.3 ounces with a (95% of data) range from 15.8 to 36.8 ounces. Let x be a random variable that represents the weight (in ounces) of a healthy 10-week-old kitten. Assume that x has a distribution that is approximately normal.

(a) The empirical rule (Section 7.1) indicates that for a symmetrical and bell-shaped distribution, approximately 95% of the data lies within two standard deviations of the mean. Therefore, a 95% range of data values extending from μ − 2σ to μ + 2σ is often used for "commonly occurring" data values. Note that the interval from μ − 2σ to μ + 2σ is 4σ in length. This leads to a "rule of thumb" for estimating the standard deviation from a 95% range of data values. Estimating the standard deviation For a symmetric, bell-shaped distribution, standard deviation ≈ range 4 ≈ high value − low value 4 where it is estimated that about 95% of the commonly occurring data values fall into this range. Estimate the standard deviation of the x distribution. (Round your answer to two decimal places.) Correct: Your answer is correct. oz

(b) What is the probability that a healthy 10-week-old kitten will weigh less than 14 ounces? (Round your answer to four decimal places.) Correct: Your answer is correct.

(c) What is the probability that a healthy 10-week-old kitten will weigh more than 33 ounces? (Round your answer to four decimal places.) Correct: Your answer is correct.

(d) What is the probability that a healthy 10-week-old kitten will weigh between 14 and 33 ounces? (Round your answer to four decimal places.)

(e) A kitten whose weight is in the bottom 15% of the probability distribution of weights is called undernourished. What is the cutoff point for the weight of an undernourished kitten? (Round your answer to two decimal places.) oz

Answer #1

How much should a healthy kitten weigh? Suppose that a healthy
10-week-old (domestic) kitten should weigh an average of μ = 26.3
ounces with a (95% of data) range from 14.8 to 37.8 ounces. Let x
be a random variable that represents the weight (in ounces) of a
healthy 10-week-old kitten. Assume that x has a distribution that
is approximately normal. (a) The empirical rule (Section 7.1)
indicates that for a symmetrical and bell-shaped distribution,
approximately 95% of the data...

How much should a healthy kitten weigh? Suppose that a healthy
10-week-old (domestic) kitten should weigh an average of μ
= 25.3 ounces with a (95% of data) range from 15.0 to 35.6 ounces.
Let x be a random variable that represents the weight (in
ounces) of a healthy 10-week-old kitten. Assume that x has
a distribution that is approximately normal.
(a) The empirical rule (Section 7.1) indicates that for a
symmetrical and bell-shaped distribution, approximately 95% of the
data...

How much should a healthy kitten weigh? Suppose that a healthy
10-week-old (domestic) kitten should weigh an average of μ
= 24.7 ounces with a (95% of data) range from 14.6 to 34.8 ounces.
Let x be a random variable that represents the weight (in
ounces) of a healthy 10-week-old kitten. Assume that x has
a distribution that is approximately normal.
(a) The empirical rule (Section 7.1) indicates that for a
symmetrical and bell-shaped distribution, approximately 95% of the
data...

How much should a healthy kitten weigh? Suppose that a healthy
10-week-old (domestic) kitten should weigh an average of μ
= 25.7 ounces with a (95% of data) range from 15.2 to 36.2 ounces.
Let x be a random variable that represents the weight (in
ounces) of a healthy 10-week-old kitten. Assume that x has
a distribution that is approximately normal.
(a) The empirical rule (Section 7.1) indicates that for a
symmetrical and bell-shaped distribution, approximately 95% of the
data...

How much should a healthy kitten weigh? Suppose that a healthy
10-week-old (domestic) kitten should weigh an average of ?
= 22.9 ounces with a (95% of data) range from 13.4 to 32.4 ounces.
Let x be a random variable that represents the weight (in
ounces) of a healthy 10-week-old kitten. Assume that x has
a distribution that is approximately normal.
(a) The empirical rule (Section 7.1) indicates that for a
symmetrical and bell-shaped distribution, approximately 95% of the
data...

Suppose, household color TVs are replaced at an average age of μ
= 8.2 years after purchase, and the (95% of data) range was from
4.2 to 12.2 years. Thus, the range was 12.2 − 4.2 = 8.0 years. Let
x be the age (in years) at which a color TV is replaced. Assume
that x has a distribution that is approximately normal.
(a) The empirical rule indicates that for a symmetric and
bell-shaped distribution, approximately 95% of the data...

The resting heart rate for an adult horse should average about
μ = 42 beats per minute with a (95% of data) range from 18
to 66 beats per minute. Let x be a random variable that
represents the resting heart rate for an adult horse. Assume that
x has a distribution that is approximately normal.
(a) The empirical rule indicates that for a symmetrical and
bell-shaped distribution, approximately 95% of the data lies within
two standard deviations of the...

Suppose, household color TVs are replaced at an average age of μ
= 9.0 years after purchase, and the (95% of data) range was from
6.4 to 11.6 years. Thus, the range was 11.6 − 6.4 = 5.2 years. Let
x be the age (in years) at which a color TV is replaced. Assume
that x has a distribution that is approximately normal. (a) The
empirical rule indicates that for a symmetric and bell-shaped
distribution, approximately 95% of the data...

Suppose, household color TVs are replaced at an average age of
μ = 7.8 years after purchase, and the (95% of data) range
was from 5.4 to 10.2 years. Thus, the range was 10.2 − 5.4 = 4.8
years. Let x be the age (in years) at which a color TV is
replaced. Assume that x has a distribution that is
approximately normal.
(a) The empirical rule indicates that for a symmetric and
bell-shaped distribution, approximately 95% of the data...

Suppose, household color TVs are replaced at an average age of
μ = 8.6 years after purchase, and the (95% of data) range
was from 6.0 to 11.2 years. Thus, the range was 11.2 – 6.0 = 5.2
years. Let x be the age (in years) at which a color TV is
replaced. Assume that x has a distribution that is
approximately normal.
(a) The empirical rule indicates that for a symmetrical and
bell-shaped distribution, approximately 95% of the data...

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