Question

The National Weather Service says that the mean daily high temperature for October in a large Midwestern city is 56 degree F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean. is actually lower than 56 degree F. A simple of mean daily high temperatures for October over past 37 years yields x = 54 degree F. Assume that the population standard deviation is 5.6 degree F. Perform the hypothesis test at the 1% significance level.

Answer 1

The result of the hypothesis test is that we cannot say if the mean is lower than 56.

Hypothesis are ,

H0 : ц = ц 1

H1 : ц ≠ ц 1

It is to be tested whether the mean daily high temperature for October in a large Midwestern city is actually lower than

56 F or not.

Then the test statistic is equal to minus 2.64610 degrees of tritomas degree of to equal to 1 equal to 29 point,

The appropriate conditions to be sufficed before performing the one-sample z-test are:

(i) The measurement of the sample drawn for the observation must be extensive. The desired threshold is 30.

(ii) Each observation should have an equal opportunity of getting selected in the sample.

(iii) The data need to be normal.

On performing the analysis we conclude that  it can not be said with 99 % confidence that the true mean temp is less than 56 F.

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