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The historical reports from two major

by | Nov 30, 2023 | Posted Questions

Two Tailed Test for Independent
Means: Mean Number of Commercials on Major Networks

The historical reports from two
major networks showed that the mean number of commercials aired during prime
time was equal for both networks last year. In order to find out whether they
still air the same number of commercials on average or not, random and
independent samples of 85 recent prime time airings from both networks have
been considered. The first network aired an average of 109.4 commercials during
prime with a standard deviation of 5.7 . The second network aired 110.6
commercials with a standard deviation of 5.8 . Since the sample size is quite
large, assume that the population standard deviations 5.7 and 5.8 can be
estimated using the sample standard deviations. At the 0.10 level of
significance, is there sufficient evidence to support the claim that the
average number of commercials aired during prime time by the first station, µ1
is not equal to the average number of commercials aired during prime time by
the second station µ2?

Perform a two-tailed test.

Null hypothesis: Ho:

Alternative hypothesis: H1

Type of test statistic:

The value of the test statistic? 3
decimal places

The two critical values at the
0.10 level of significance? 3 decimal places

Can we support the claim that the
mean number of commercials aired during prime time by the first network is not
equal to the mean number of commercials aired during prime time by the second
network? Yes or no

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