Question

Suppose the number of beds filled per day in a mediumsized hospital is normally distributed. A hospital administrator tells the board of directors that, on the average, at least 184 beds are filled on any given day. One of the board members believes that the average is less than 184 and she sets out to test to determine if she is correct. She secures a random sample of 16 days of data (shown below). Use α = 0.05 and the sample data to test the board member’s theory. Assume the number of filled beds per day is normally distributed in the population.

Number of Beds Occupied per Day

173	149	166	180
189	169	152	194
177	169	188	160
199	175	172	187

(Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.)

The value of the test statistic is and we

reject the null hypothesis or

fail to reject the null hypothesis

.

Answer 1

Answer:

The statistical software output for this problem is :

Test statistics = -2.53

and we reject (Null Hypothesis ) H0

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