3. Heights of 1-year-old girls are Normally distributed, with mean 30 inches and standard deviation of 1.2 inches. A company claims that taking 500 mg of vitamin C makes girls taller. In a random sample of 100 baby girls who were given 500 mg vitamin C daily from birth to 1 year, the mean height was 30.1 inches. Is this evidence for the company’s claim? Assume the standard deviation remains the same. To make this determination, calculate and interpret the p-value for the appropriate test.

The p- value  is

Its interpretation is  

As  

The decision rule is

Fail to reject the null hypothesis

 The conclusion is  

There is no  sufficient evidence to support the  company claims at a level of  sign9ificance of 0.05

Step-by-step explanation:

From the question we are told that

  The mean is  

  The standard deviation is  

  The sample size is  n  =  100

  The sample mean is  

Let assume the level of significance is  

The null hypothesis is

The alternative is  

Generally the test test is mathematically represented as

=>  

=>  

Generally from the z-table  the  probability of (Z > 0.83 ) is

From the value obtained we see that   hence

 The decision rule is

Fail to reject the null hypothesis

 The conclusion is  

There is no  sufficient evidence to support the  company claims at a level of  sign9ificance of 0.05

b

step-by-step explanation:

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step-by-step explanation: