A simple random sample of 36 from a normally distributed population results in a

Question

A simple random sample of 36 from a normally distributed population results in a standard deviation of 11.3 beats minute, The normal range of pulse of adults is typically given an 60 to 100 per minute If the range rule of thumb is applied to that normal range, the result is a standard deviation 10 beats per minute Use the sample result with the 0.05 significance level to the claim that pulse of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below Identify the null and alternative hypotheses Choose the correct answer below H_0:sigma greaterthanorequalto 10 beats per minute H_1: sigma

Explanation / Answer

Solution:-

Given,

Number of samples, n = 35
Hypothesized population satndard deviation, = 10
Sample standard deviation, S = 11.3
alpha = 0.05

Null hypothesis, = 10

Alternate hypothesis, 10

X2 = (n - 1)S2 / 2

where n - 1 is degree of freedom.

X2= (35 - 1)*(11.3)2 / (10)2

   = 34 * 127.69 / 100

= 43.415

Calculating P-value, using Chi - squared (using table)

The P-Value is 0.1293.

The result is not significant at p < 0.05.

Conclusion. Do not reject null hypothesis or accept null hypothesis, P-value is greater than significance level.

There is insufficient evidence.

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