Question

Claim: The standard deviation of pulse rates of adult males is more thanmore than 1111 bpm. For a random sample of 143143 adult​ males, the pulse rates have a standard deviation of 11.811.8 bpm. Complete parts​ (a) and​ (b) below

Answer 1

Claim: The standard deviation of pulse rates of adult males is more than 11 bpm. For a random sample of 143 adult​ males, the pulse rates have a standard deviation of 11.8 bpm. Complete parts​ (a) and​ (b) below

One sample variance test

Ho: σ =11    Ha: σ > 11

= (142*11.8²) / 11² =163.4056

DF=143-1=142

Chi square value at 0.05 level :

Upper Critical Value

170.8092

Calculated chi square = 163.4056 is less than critical value.

The null hypothesis is not rejected.

At the 5% level of significance, there is no evidence to support the standard deviation of pulse rates of adult males is more than 11 bpm.

Chi-Square Test of Variance
Data
Null Hypothesis                        s^2=	121
Level of Significance	0.05
Sample Size	143
Sample Standard Deviation	11.8
Intermediate Calculations
Degrees of Freedom	142
Half Area	0.025
Chi-Square Statistic	163.4056
Upper-Tail Test
Upper Critical Value	170.8092
p-Value	0.1055
Do not reject the null hypothesis

Note: it is not significant at 90% and 99% confidence level also.