Question

The relief time provided by a standard dose of a popular children’s allergy medicine averages six hours with a standard deviation of two hours. [You may find it useful to reference the z table.] a. Determine the percentage of children who experience relief for less than four hours if the relief time follows a normal distribution. (Round your answer to 2 decimal places.) b. Determine the percentage of children who experience relief for less than four hours if the relief time follows a lognormal distribution. (Round your intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 2 decimal places.)

Answer #1

1. Let Z be the z-score for a standard normal distribution. Find
the area under the curve for Z> -1.58. Keep four decimal
places.
2. Suppose the time spent by children in front of the television
set per year is normally distributed with a mean of 1500 hours and
a standard deviation of 250 hours. What percentage of children
spend at least 1300 hours in front of the television. Express your
answer to the nearest tenth of a percent without...

Suppose that the time spent by children in front of the
television set per year has a distribution N(1500,
250); i.e, normal with mean 1500 and standard deviation 250.
What proportion of children spend less than 1000 hours in front
of the television? (Express your answer as a decimal, do not
convert to percent. Keep four decimal places.)
What proportion of children spend more than 1700 hours in front
of the television? (Express your answer as a decimal, do not...

In a study of parents’ perceptions of their children’s size,
researchers Kaufman et al. (Current Biology, 2013) asked parents to
estimate their youngest child’s height. The researchers
hypothesized that parents tend to underestimate their youngest
child’s size because the youngest child is the baby of the family
and everybody else is the family appears bigger compared to the
baby. The sample of 33 parents who were surveyed underestimated
their youngest child’s height by 7.3 cm, on average; the standard
deviation...

Let be a standard normal random variable. Use the calculator
provided, or this table, to determine the value of P (c is less
than or greater to Z is less than or greater to -0.87) =0.1570.
Carry your intermediate computations to at least four decimal
places. Round your answer to two decimal places

The director of research and development is testing a new
medicine. She wants to know if there is evidence at the 0.0250.025
level that the medicine relieves pain in less than 305305 seconds.
For a sample of 1717 patients, the average time in which the
medicine relieved pain was 299299 seconds with a standard deviation
of 2525. Assume the population distribution is approximately
normal.
1. State the null and alternative hypotheses.
2. Find the value of the test statistic. Round...

In a recent survey of high school students, it was found that
the amount of time spent on reading books per week was normally
distributed with a mean of 28 minutes. Assume the distribution of
weekly reading time follows the normal distribution with a
population standard deviation of 2 minutes. Suppose we select a
sample of 16 high school students. What can we say about the shape
of the distribution of the sample mean time?
What can we say about...

The director of
research and development is testing a new medicine. She wants to
know if there is evidence at the 0.05 level that the medicine
relieves pain in more than 375 seconds. For a sample of 17
patients, the average time in which the medicine relieved pain was
383 seconds with a standard deviation of 20. Assume the population
distribution is approximately normal.
Step 1 of 3:
State the null and
alternative hypotheses.
Step 2 of 3:
Find the...

Question 11
A retailer finds that the demand for a very popular board game
averages 100 per week with a standard deviation of 20. If the
seller wishes to have adequate stock 90% of the time, how many of
the games must she keep on hand?
a.
139.2
b.
125.6
c.
132.9
d.
100.0
e.
195.0
Question 13
A new car salesperson knows that he sells cars to one customer
out of 20 who enter the showroom. The probability that...

A small hair salon in Denver, Colorado, averages about 85
customers on weekdays with a standard deviation of 17. It is safe
to assume that the underlying distribution is normal. In an attempt
to increase the number of weekday customers, the manager offers a
$5 discount on 6 consecutive weekdays. She reports that her
strategy has worked since the sample mean of customers during this
6 weekday period jumps to 99.
a. What is the probability to get a sample...

The director of research and development is testing a new
medicine. She wants to know if there is evidence at the 0.025 level
that the medicine relieves pain in more than 318 seconds. For a
sample of 7 patients, the average time in which the medicine
relieved pain was 324 seconds with a standard deviation of 23.
Assume the population distribution is approximately normal.
Step 1 of 5: State the null and alternative hypotheses.
Step 2 of 5: Find the...

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