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Answer:
a
b
The nutritionist does not have sufficient evidence to reject the writers claim
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is
The sample mean is
The standard deviation
The level of significance is
Now the
Null Hypothesis is
Alternative Hypothesis is
generally the degree of freedom is mathematically represented as
For a significance level of 0.05 and 19 degrees of freedom, the critical value for the t-test is 2.093. This is obtain from the t-distribution table
The test statistic is mathematically evaluated as
substituting values
Since the test statistic is below the critical value then the Null hypothesis can not be rejected
So we can conclude that the nutritionist does not have sufficient evidence to reject the writers claim