Question

The following data from a random sample represents the average daily energy intake in KJ for each of the eleven healthy women:

5260   5470   5640   6180   6390   6515   6805   7515 7515   8230   8770

Interest centred on comparing these data with an underlying mean daily energy intake of 7725 KJ. This was the recommended daily intake. Departures from this mean in either direction were considered to be of interest. Assuming that the population is normal and the population variance is unknown. An appropriate two-tailed hypothesis test at the 5% level of significance was conducted. The null hypothesis is H₀: µ = 7725.

i) What is an appropriate test for this one population hypothesis problem?

ii) What is the value of the observed test statistics?

iii) What is the degree of freedom df in this problem?

iv) In order to make a decision as to whether to accept or reject the null hypothesis, we need to compare the observed test statistic with critical value. What is this critical value |t_?/2|?

v) What conclusions can be drawn at a 5% level of significance?

a) The underlying mean daily energy intake is equal to 7725 KJ.

b) The underlying mean daily energy intake is not equal to 7725 KJ.

c) The underlying mean daily energy intake is greater than to 7725 KJ.

d) The underlying mean daily energy intake is less than to 7725 KJ.

Pls explain with workings. Thxs

Answer 1

시 ii) ob亼erved det statistic ,N= 6154 1735. 4,2人万ㄒㄧ· R- 2 ,82 114 b) The unduh mam oily envy intake v nst

Because, the estimated |t|=2.82 is greater than the critical value at 0.05 level of significance.