# solution

A grocery store claims that customers spend an average of 4 minutes waiting for service at the? store’s deli counter. A random sample of 40 customers was timed at the deli? counter, and the average service time was found to be 4.6 minutes. Assume the standard deviation is 1.9 minutes per customer. Using a=0.01?, complete parts a and b below.

a. Does this sample provide enough evidence to counter the claim made by the? store’s management?

Determine the null and alternative hypotheses.

H0?: Âµ ___

?

equals=

less than<

greater than>

not equals?

greater than or equals=

less than or equals=

H1?: Âµ ___

?

less than or equals=

not equals?

greater than>

greater than or equals=

equals=

less than<

The? z-test statistic is __ (Round to two decimal places as? needed.)

The critical? z-score(s) is(are) ___ ?(Round to two decimal places as needed. Use a comma to separate answers as? needed.)

Because the test statistic

?

is less than the critical value,

does not fall within the critical values,

is greater than the critical value,

falls within the critical values,

?

reject

do not reject

the null hypothesis.

b. Determine the? p-value for this test.

The? p-value is ___ ?(Round to three decimal places as? needed.)

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