Question

**Cellulose content in alfalfa hay.** An agronomist
examines the cellulose content of a variety of alfalfa hay. Suppose
that the cellulose content in the population has standard deviation
*σ* = 8 milligrams per gram (mg/g). A sample of 15 cuttings
has mean cellulose content = 145 mg/g.

**(a) Give a 90% confidence
interval for the mean cellulose content in the
population.**

**(b) A previous study claimed
that the mean cellulose content was μ = 140 mg/g, but the
agronomist believes that the mean is higher than that figure. State
H_{0} and H_{a} and carry out a
significance test to see if the new data support this
belief.**

**(c) The statistical procedures
used in parts (a) and (b) are valid when several assumptions are
met. What are these assumptions?**

Answer #1

Ans:

a)

90% confidence interval for the mean cellulose content

=145+/-1.645*(8/sqrt(15))

=145+/-3.40

**=(141.60, 148.40)**

b)

Test statistic:

z=(145-140)/(8/sqrt(15))

z=2.42

p-value=P(z>2.42)=0.0077

As,p-value<0.05,we reject the null hypothesis.

There is sufficient evidenec to support the belief that mean is higher than 140.

c)It is valid when population distribution is normally distributed.

An agronomist examines the cellulose content of a variety of
alfalfa hay. Suppose that the cellulose content in the population
has standard deviation σ = 9 milligrams per gram (mg/g). A
sample of 16 cuttings has mean cellulose content x = 146
mg/g.
(a) Give a 90% confidence interval for the mean cellulose
content in the population. (Round your answers to two decimal
places.)
( )
H0: μ = 140 mg/g;
Ha:
μ > 140 mg/g
(b) A previous study...

An agronomist examines the cellulose content of a variety of
alfalfa hay. Suppose that the cellulose content in the population
has standard deviation σ = 8 milligrams per gram (mg/g). A
sample of 15 cuttings has mean cellulose content x = 144
mg/g.
(a) Carry out a significance test to see if the new data support
this belief. (Use α = 0.05. Round your value for z to two
decimal places and round your P-value to four decimal
places.)
z=...

Suppose that the cellulose content in the population has
standard deviation o=9 milligrams per gram (mg/g). A sample of 16
cuttings has mean cellulose content x=144 mg/g. A previous study
claimed that the mean cellulose content was u=140 mg/g, but the
agronomist believes that the mean is higher than that figure. State
Ho and Ha. Carry out a significance test to see if the new data
supports this belief. (use a=0.05.

suppose that cellulose content in the normally distributed
population has standard deciation of 8 mg/g. Asimple random sample
of 30 cuttings has mean cellulose content of 148 mg/g. Construct
and interpret an 84.5% confidence interval for the mean cellulose
content in the population

1)In a study designed to assess the side effects of two drugs,
50 animals were given drug A and 50 animals were given drug B. Of
the 50 receiving drug A,10 showed undesirable side effects, while 8
of those receiving drug B reacted similarly. If there is no
difference between the population proportions of animals showing
undesirable side effects when taking drug A or drug B, the best
estimate for the common proportion is?
2)A significance test was performed to...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 seconds ago

asked 1 minute ago

asked 1 minute ago

asked 3 minutes ago

asked 4 minutes ago

asked 6 minutes ago

asked 9 minutes ago

asked 12 minutes ago

asked 14 minutes ago

asked 14 minutes ago

asked 15 minutes ago

asked 17 minutes ago