Question

For questions 20 – 23 answer all the following questions:

a)State the Null and Alternate Hypotheses

b) Which is the claim?

c) Describe the reject region as left tailed, right tailed or
two-tailed.

d) Will you use a z-test or a t-test? What is the critical value?

e) Find the sample statistic.

f) Do you reject or fail to reject the claim? Write out your decision in at least one sentence.

20. A report by a restaurant reviewer claims that the serving staff, at all casual dining restaurants in New Jersey, receives at least $100 in tips with a standard deviation of $15. Colleen, who works in a casual dining restaurant in New Jersey, believes this claim is wrong. She records her tips over a 30 day, period and finds that they average $93. Using a 1% significance level test the claim.

Answer #1

a)

Null hypothesis, H0: mu >= 100

Alternative hypo, Ha: mu < 100

b)

Here the claim is mu >= 100

c)

This is left tailed test

d)

z-test will be used as population std. dev. is given

P(z < -2.33) = 0.01

Rejection region will be on the left side of the curve because this
is left tailed test

Reject H0 if z < -2.33

critical value z = -2.33

e)

test statistic,

z = (xbar - mu)/(sigma/sqrt(n))

z = (93 - 100)/(15/sqrt(30))

z = -2.56

f)

As test statistic < -2.33, reject H0

There is not sufficient evidence to conclude that the serving staff, at all casual dining restaurants in New Jersey, receives at least $100 in tips

For questions 20 – 23 answer all the
following questions:
a)State the Null and Alternate
Hypotheses
b) Which is the claim?
c) Describe the reject region as left tailed, right tailed or
two-tailed.
d) Will you use a z-test or a t-test?
What is the critical value?
e) Find the sample statistic.
f) Do you reject or fail to reject the
claim? Write out your decision in at least one sentence.
21. It is claimed that the average
annual per...

For questions 24 – 25 answer all the
following questions:
a)State the Null and Alternate
Hypotheses
b) Which is the claim?
c) Will you use a z-test, t-test or
chi-square test? What is the critical value?
d) Describe the reject region as left
tailed, right tailed or two-tailed.
e) Find the sample statistic.
f) Do you reject the claim? Write out
your decision in at least one sentence.
25. The Smokey Bear Rangers station
came out with a report in...

For questions 24 – 25 answer all the
following questions:
a)State the Null and Alternate
Hypotheses
b) Which is the claim?
c) Will you use a z-test, t-test or
chi-square test? What is the critical value?
d) Describe the reject region as left
tailed, right tailed or two-tailed.
e) Find the sample statistic.
f) Do you reject the claim? Write out
your decision in at least one sentence.
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claims
i) State the Null Hypothesis H0 and
the Alternate Hypothesis HA
ii) Indicate which is the claim.
iii) Determine whether the reject
region is left-tailed, right-tailed or two-tailed.
a) A consumer magazine reports that
the mean life of a dot-matrix printer is at least 3.5 years.
b) A realtor claims that rent for
studio apartments in new buildings in Brooklyn cannot be $1500 a
month.
c) A car dealer announces that the
mean...

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