Multiparty problem....need help on last two problems g and h. In the following two hypothesis test problems, the test statistic (z-score) will be given. Following these is a separate problem for whichyou will have to calculate the z-score using the appropriate formula.1. Swimming at local beaches is affected by the number of bacteria in thewater. Bacteria numbers are monitored by taking water samples. In thesummer, the mean number of E.Coli bacteria in a water sample at localbeaches has usually been 97. The standard deviation is known to be15. If this August 62 water samples from beaches around Annapoliswere analyzed and the mean number of E. Coli bacteria found to be102, does this mean that summertime E. Coli bacteria levels haveincreased? Use a significance level of 1% for this test. (Note: In part(d), the test statistic (z-score) is GIVEN.)а)10297o =15n =62a =0.01b) Why is a hypothesis test based on the normal distribution justified?(Explain. Don't be too brief and use appropriate terminology.)The standard deviation is known therefore, the given hypothesis testis based on normal distribution.c) State the hypotheses in symbols:: H=102: ">102d) z = 2.62 is the test-statistic for this hypothesis test. Use it to findthe p-value.(Give the p-value to four decimal places) p value is 0.0044e) Will H. be rejected? (Include the numbers for your decision) RejectНо) Write a conclusion in context. (This is the answer to the hypothesistest. Make sure it includes context.)There is significant evidence tosupport the claim that E. coli bacteria levels have increased.g) Which type of error can the statistician have made in the correctconclusion of this hypothesis test? (This is not an error that can beavoided.)h) Can we state the probability with which this error will occur? If so,state the value.

Given that the decision about null hypothesis is Reject Ho The type I error is defined as rejecting…

Which type of error can the statistician have made in the correct conclusion of this hypothesis test? (This is not an error that can be avoided.) Can we state the probability with which this error will occur? If so, state the value.

Which type of error can the statistician have made in the correct conclusion of this hypothesis test? (This is not an error that can be avoided.) Can we state the probability with which this error will occur? If so, state the value.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Equations and inequalities describe the relationship between two mathematical expressions.

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Question

Multiparty problem....need help on last two problems g and h.

In the following two hypothesis test problems, the test statistic (z-
score) will be given. Following these is a separate problem for which
you will have to calculate the z-score using the appropriate formula.
1. Swimming at local beaches is affected by the number of bacteria in the
water. Bacteria numbers are monitored by taking water samples. In the
summer, the mean number of E.Coli bacteria in a water sample at local
beaches has usually been 97. The standard deviation is known to be
15. If this August 62 water samples from beaches around Annapolis
were analyzed and the mean number of E. Coli bacteria found to be
102, does this mean that summertime E. Coli bacteria levels have
increased? Use a significance level of 1% for this test. (Note: In part
(d), the test statistic (z-score) is GIVEN.)
а)
102
97
o =
15
n =
62
a =
0.01
b) Why is a hypothesis test based on the normal distribution justified?
(Explain. Don't be too brief and use appropriate terminology.)
The standard deviation is known therefore, the given hypothesis test
is based on normal distribution.
c) State the hypotheses in symbols:
: H=102
: ">102
d) z = 2.62 is the test-statistic for this hypothesis test. Use it to find
the p-value.
(Give the p-value to four decimal places) p value is 0.0044
e) Will H. be rejected? (Include the numbers for your decision) Reject
Но
) Write a conclusion in context. (This is the answer to the hypothesis
test. Make sure it includes context.)There is significant evidence to
support the claim that E. coli bacteria levels have increased.
g) Which type of error can the statistician have made in the correct
conclusion of this hypothesis test? (This is not an error that can be
avoided.)
h) Can we state the probability with which this error will occur? If so,
state the value.

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