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Cost (INR) 1596 2852 3343 2609 2175 1776 3119 1792 3006 3671 1982 2611 1510 2147 2288 3151 3896 2790 1713 1969 1526 1622 3379

Cost (INR)
1596
2852
3343
2609
2175
1776
3119
1792
3006
3671
1982
2611
1510
2147
2288
3151
3896
2790
1713
1969
1526
1622
3379
3515
2601
1984
2325
3434
2143
3286
3793
3719
2416
3129
2416
1878
2510
1981
3947
3318
3107
3372
3898
1585
1808
2169
3327
3499
3647
2372
2791
3545
3687
3742
3598
3872
1750
3973
3181
2370
2556
1598
3178
3619
2687
2335
2681
3313
2904
2545
2177
3323
2475
2418
4

The average monthly fees for high schools in Chhattisgarh in 2019 was INR 2950. The government of Chhatisgarh has requested a small study to estimate monthly fees in 2021. A sample of 75 will be used. Based on past studies, the population standard deviation is assumed known with .
a What is the margin of error for a 95% confidence interval of the mean monthly fees for high schools in Chhatisgarh?
b The data set alongside contains monthly fee data collected from 75 high schools in Chhatisgarth in 2021. Use this data set to compute the sample mean. Using this sample, what is the 95% confidence interval for the mean monthly fee for high schools in Chattisgarth?

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