According to the Institute of Medicine, the tolerable upper level of sodium intake for adults and adolescents is 2300 mg per day. A dietitian believes that the average level of sodium intake of students in a local school differs from the national standard. The sodium intake of a random sample of 14 adolescent students was 2310 mg per day with a standard deviation of 38 mg. Is there enough evidence in the data to back up the researcher's claim? Assume that the level of significance is 3%. a) State what u is in words and determine the Ho and Ha. b) Find the t-test statistic and P-value. i) Draw a density curve for x and a t density curve. c) Fill in the blanks: Since P-value is < or >? 0.03, we reject or do not reject Ho?. We have enough or not enough? evidence to conclude that (state Ha in words) at 3%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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According to the Institute of Medicine, the tolerable
upper level of sodium intake for adults and adolescents
is 2300 mg per day. A dietitian believes that the
average level of sodium intake of students in a local
school differs from the national standard. The sodium
intake of a random sample of 14 adolescent students
was 2310 mg per day with a standard deviation of 38
mg. Is there enough evidence in the data to back up
the researcher's claim? Assume that the level of
significance is 3%.
a) State what u is in words and determine the Ho
and Ha.
b) Find the t-test statistic and P-value.
i) Draw a density curve for x and a t
density curve.
c) Fill in the blanks: Since P-value is < or >? 0.03,
we reject or do not reject Ho?. We have enough
or not enough? evidence to conclude that (state
Ha in words) at 3%.
Transcribed Image Text:According to the Institute of Medicine, the tolerable upper level of sodium intake for adults and adolescents is 2300 mg per day. A dietitian believes that the average level of sodium intake of students in a local school differs from the national standard. The sodium intake of a random sample of 14 adolescent students was 2310 mg per day with a standard deviation of 38 mg. Is there enough evidence in the data to back up the researcher's claim? Assume that the level of significance is 3%. a) State what u is in words and determine the Ho and Ha. b) Find the t-test statistic and P-value. i) Draw a density curve for x and a t density curve. c) Fill in the blanks: Since P-value is < or >? 0.03, we reject or do not reject Ho?. We have enough or not enough? evidence to conclude that (state Ha in words) at 3%.
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