Question

The price of a certain combo meal at different franchises of a national fast food company varies from​ $5.00 to $17.37 and has a known standard deviation of $2.09. A sample of 29 students in an online course that includes students across the country stated that their average price is ​$6.00. The students have also stated that they are generally unwilling to pay more than ​$6.75for this meal. Formulate and conduct a hypothesis test to determine if you can conclude that the population mean is less than ​$6.75. Use a level of significance of 0.05.

Is there sufficient evidence at the 0.05 level of significance that the population mean is less than $6.75​?

Determine the null​ hypothesis, H0​, and the alternative​ hypothesis,H1.

Compute the test statistic.

Find the​ p-value for the test.

State the conclusion.

Answer 1

Here The price of a certain comb meal at different franchises of a national fast food company is bet $5.00 to $17 and has a known standard deviation of $2.09. Here note that the population standard deviation is known i.e $2.09 . So here to test the given claim we have to perform the one sample z test. The further test is given below,

therefore from the above, there sufficient evidence at the 0.05 level of significance that the population mean is less than $6.75​.

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