A magazine collected the ratings for food, decor, service and the cost per person for a sample of 96 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y = -29.714 +1.1408X,, where X, is the summated ratings and Ŷ, is meal cost. For these data, Syx = 8.646, X = 62.49, and h; = 0.025821 when X = 54. Complete parts (a) through (c). ... a. Construct a 95% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 54. $0 Hy|x = x; (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)

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A magazine collected the ratings for food, decor, service and the cost per person for a sample of 96 restaurants. They
combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are
modeled by Y₁ = -29.714+1.1408X,, where X, is the summated ratings and Ỹ is meal cost. For these data,
Syx = 8.646, X = 62.49, and h₁ = 0.025821 when X= 54. Complete parts (a) through (c).
a. Construct a 95% confidence interval estimate of the mean cost of a meal for restaurants that have a summated
rating of 54.
Sμy|x = x₁ S
(Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
1
DO
...
+
L
Vi
S
Vi
!
(1,0)
More
X
Transcribed Image Text:A magazine collected the ratings for food, decor, service and the cost per person for a sample of 96 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y₁ = -29.714+1.1408X,, where X, is the summated ratings and Ỹ is meal cost. For these data, Syx = 8.646, X = 62.49, and h₁ = 0.025821 when X= 54. Complete parts (a) through (c). a. Construct a 95% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 54. Sμy|x = x₁ S (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) 1 DO ... + L Vi S Vi ! (1,0) More X
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