ata table below contains the amounts that a sample of nine customers spent for lunch (in dollars) at a fast-food restaurant. Complete parts (a) through (d) here to view page 1 of the table of critical values of t. here to view page 2 of the table of critical values of t. 1.17 4.93 5.98 6.49 7.41 7.46 8.34 8.59 9.76 the 0.01 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50? the null and alternative hypotheses. 0μ= 6.50 6.50 1H ype integers or decimals. Do not include the $ symbol in your answer.) fy the critical value(s). ritical value(s) is (are) d to four decimal places as needed Ise a comma to separate answers as needed)

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Author:Amos Gilat
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The data table below contains the amounts that a sample of nine customers spent for lunch (in dollars) at a fast-food restaurant. Complete parts (a) through (d).

4.17, 4.93, 5.98, 6.49, 7.41, 7.46, 8.34, 8.59, 9.76

a. At the 0.01 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50?

State the null and alternative hypotheses:

\( H_0: \mu = 6.50 \)

\( H_1: \mu \neq 6.50 \)

(Type integers or decimals. Do not include the $ symbol in your answer.)

Identify the critical value(s).

The critical value(s) is(are) __________.

(Round to four decimal places as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:The data table below contains the amounts that a sample of nine customers spent for lunch (in dollars) at a fast-food restaurant. Complete parts (a) through (d). 4.17, 4.93, 5.98, 6.49, 7.41, 7.46, 8.34, 8.59, 9.76 a. At the 0.01 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50? State the null and alternative hypotheses: \( H_0: \mu = 6.50 \) \( H_1: \mu \neq 6.50 \) (Type integers or decimals. Do not include the $ symbol in your answer.) Identify the critical value(s). The critical value(s) is(are) __________. (Round to four decimal places as needed. Use a comma to separate answers as needed.)
Expert Solution
Step 1

Given:

Sample size (n) = 9

Significance level = 0.01

The null and alternate hypotheses are

H0:μ=6.50H1:μ6.50

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